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Books
J. Prüss. Evolutionary integral equations and applications, volume 87 of Monographs in Mathematics. Birkhäuser Verlag, Basel, 1993. Modern Birkhäuser Classics, 2nd ed. 2012.
R. Denk, M. Hieber, and J. Prüss. \(\cal{R}\)-boundedness, Fourier multipliers and problems of elliptic and parabolic type. Mem. Amer. Math. Soc., 166(788):viii+114, 2003.
J. Prüss, R. Schnaubelt, and R. Zacher. Mathematische Modelle in der Biologie. Mathematik Kompakt. (Compact Mathematics). Birkhäuser Verlag, Basel, 2008. Deterministische homogene Systeme. (Deterministic homogeneous systems).
J. Prüss and M. Wilke. Gewöhnliche Differentialgleichungen und dynamische Systeme. Grundstudium Mathematik. (Basic Study of Mathematics). Birkhäuser/Springer Basel AG, Basel, 2010.
J. Prüss and G. Simonett. Moving interfaces and quasilinear parabolic evolution equations, volume 105 of Monographs in Mathematics. Birkhäuser/Springer, 2016.
Mathematical Articles
J. Prüss. On semilinear evolution equations in Banach spaces. J. Reine Angew. Math., 303/304:144–158, 1978.
J. Prüss. Periodic solutions of semilinear evolution equations. Nonlinear Anal., 3(5):601–612, 1979.
J. Prüss. A note on strict solutions to semilinear evolution equations. Math. Z., 171(3):285–288, 1980.
J. Prüss. On semilinear parabolic evolution equations on closed sets. J. Math. Anal. Appl., 77(2):513–538, 1980.
J. Prüss. A characterization of uniform convexity and applications to accretive operators. Hiroshima Math. J., 11(2):229–234, 1981.
J. Prüss. Equilibrium solutions of age-specific population dynamics of several species. J. Math. Biol., 11(1):65–84, 1981.
J. Prüss. On resolvent operators for linear integro-differential equations of Volterra type. J. Integral Equations, 5(3):211–236, 1983.
J. Prüss. On the qualitative behaviour of populations with age-specific interactions. Comput. Math. Appl., 9(3):327–339, 1983.
J. Prüss. Stability analysis for equilibria in age-specific population dynamics. Nonlinear Anal., 7(12):1291–1313, 1983.
J. Prüss. On the spectrum of \(C_{0}\)-semigroups. Trans. Amer. Math. Soc., 284(2):847–857, 1984.
R. Grimmer and J. Prüss. On linear Volterra equations in Banach spaces. Comput. Math. Appl., 11(1-3):189–205, 1985.
S.C. Hu, K. Deimling, and J. Prüss. Fixed points of weakly inward multivalued maps. Nonlinear Anal., 10(5):465–469, 1986.
J. Prüss. Periodic solutions of the thermostat problem. In Differential equations in Banach spaces (Bologna, 1985), volume 1223 of Lecture Notes in Math., pages 216–226. Springer, Berlin, 1986.
J. Prüss. On linear Volterra equations of parabolic type in Banach spaces. Trans. Amer. Math. Soc., 301(2):691–721, 1987.
J. Prüss. A positivity method for linear Volterra equations. In Nonlinear analysis and applications (Arlington, Tex., 1986), volume 109 of Lecture Notes in Pure and Appl. Math., pages 483–488. Dekker, New York, 1987.
J. Prüss. Positivity and regularity of hyperbolic Volterra equations in Banach spaces. Math. Ann., 279(2):317–344, 1987.
J. Prüss. Bounded solutions of Volterra equations. SIAM J. Math. Anal., 19(1):133–149, 1988.
J. Prüss. Linear hyperbolic Volterra equations of scalar type. In Semigroup theory and applications (Trieste, 1987), volume 116 of Lecture Notes in Pure and Appl. Math., pages 367–385. Dekker, New York, 1989.
Ph. Clément and J. Prüss. On second order differential equations in Hilbert space. Boll. Un. Mat. Ital. B (7), 3(3):623–638, 1989.
J. Prüss. Regularity and integrability of resolvents of linear Volterra equations. In Volterra integro-differential equations in Banach spaces and applications (Trento, 1987), volume 190 of Pitman Res. Notes Math. Ser., pages 339–367. Longman Sci. Tech., Harlow, 1989.
J. Prüss and H. Sohr. On operators with bounded imaginary powers in Banach spaces. Math. Z., 203(3):429–452, 1990.
J. Prüss. Maximal regularity of linear vector-valued parabolic Volterra equations. J. Integral Equa-tions Appl., 3(1):63–83, 1991.
Ph. Clément and J. Prüss. Completely positive measures and Feller semigroups. Math. Ann., 287(1):73–105, 1990.
J. Prüss. Quasilinear parabolic Volterra equations in spaces of integrable functions. In Semigroup theory and evolution equations (Delft, 1989), volume 135 of Lecture Notes in Pure and Appl. Math., pages 401–420. Dekker, New York, 1991.
Ph. Clément and J. Prüss. Global existence for a semilinear parabolic Volterra equation. Math. Z., 209(1):17–26, 1992.
W. Arendt and J. Prüss. Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations. SIAM J. Math. Anal., 23(2):412–448, 1992.
J. Prüss and H. Sohr. Imaginary powers of elliptic second order differential operators in \(L^p\)-spaces. Hiroshima Math. J., 23(1):161–192, 1993.
W. Desch and J. Prüss. Counterexamples for abstract linear Volterra equations. J. Integral Equations Appl., 5(1):29–45, 1993.
J. Prüss. Stability of linear evolutionary systems with applications to viscoelasticity. In Differential equations in Banach spaces (Bologna, 1991), volume 148 of Lecture Notes in Pure and Appl. Math., pages 195–214. Dekker, New York, 1993.
J. Prüss and W. Ruess. Weak almost periodicity of convolutions. J. Integral Equations Appl., 5(4):519–530, 1993.
J. Prüss. Stability of linear hyperbolic viscoelasticity. In Workshop on the mathematical theory of nonlinear and inelastic material behaviour (Darmstadt, 1992), volume 239 of Bonner Math. Schriften, pages 43–52. Univ. Bonn, Bonn, 1993.
J. Prüss. Linear evolutionary integral equations on the line. In Evolution equations, control theory, and biomathematics (Han sur Lesse, 1991), volume 155 of Lecture Notes in Pure and Appl. Math., pages 485–513. Dekker, New York, 1994.
J. Prüss and W. Schappacher. Semigroup methods for age-structured population dynamics. In Jahrbuch Überblicke Mathematik, 1994, pages 74–90. Friedr. Vieweg, Braunschweig, 1994.
W. Desch and J. Prüss. Dynamical behavior of a two-phase chemically reacting system including mass transfer. Differential Integral Equations, 7(3-4):767–793, 1994.
J. Prüss and W. Schappacher. Persistent age-distributions for a pair-formation model. J. Math. Biol., 33(1):17–33, 1994.
G. Propst and J. Prüss. On wave equations with boundary dissipation of memory type. J. Integral Equations Appl., 8(1):99–123, 1996.
J. Prüss. Poisson estimates and maximal regularity for evolutionary integral equations in \(L_p\)-spaces. Rend. Istit. Mat. Univ. Trieste, 28(suppl.):287–321 (1997), 1996. Dedicated to the memory of Pierre Grisvard.
S. Monniaux and J. Prüss. A theorem of the Dore-Venni type for noncommuting operators. Trans. Amer. Math. Soc., 349(12):4787–4814, 1997.
M. Hieber and J. Prüss. Heat kernels and maximal \(L^p\) estimates for parabolic evolution equations. Comm. Partial Differential Equations, 22(9-10):1647–1669, 1997.
G. Gripenberg, S.-O. Londen, and J. Prüss. On a fractional partial differential equation with dominating linear part. Math. Methods Appl. Sci., 20(16):1427–1448, 1997.
Ph. Clément, G. Da Prato, and J. Prüss. White noise perturbation of the equations of linear parabolic viscoelasticity. Rend. Istit. Mat. Univ. Trieste, 29(1-2):207–220 (1998), 1997.
M. Hieber and J. Prüss. Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle. Adv. Differential Equations, 3(6):847–872, 1998.
D. Bothe and J. Prüss. Dynamics of a core-shell reaction-diffusion system. Comm. Partial Differential Equations, 24(3-4):463–497, 1999.
E. Fašangová and J. Prüss. Evolution equations with dissipation of memory type. In Topics in nonlinear analysis, volume 35 of Progr. Nonlinear Differential Equations Appl., pages 213–250. Birkhäuser, Basel, 1999.
J. Prüss. Evolution problems with nonlocal damping. In Semi-groupes d’opérateurs et calcul fonctionnel (Besançon, 1998), volume 16 of Publ. Math. UFR Sci. Tech. Besançon, pages 113–119. Univ. Franche-Comté, Besançon, 1999.
H. Petzeltová and J. Prüss. Global stability of a fractional partial differential equation. J. Integral Equations Appl., 12(3):323–347, 2000.
R. Chill and J. Prüss. Asymptotic behaviour of linear evolutionary integral equations. Integral Equations Operator Theory, 39(2):193–213, 2001.
Ph. Clément and J. Prüss. An operator-valued transference principle and maximal regularity on vector-valued \(L_p\)-spaces. In Evolution equations and their applications in physical and life sciences (Bad Herrenalb, 1998), volume 215 of Lecture Notes in Pure and Appl. Math., pages 67–87. Dekker, New York, 2001.
J. Prüss and R. Schnaubelt. Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time. J. Math. Anal. Appl., 256(2):405–430, 2001.
W. Desch, M. Hieber, and J. Prüss. \(L^p\)-theory of the Stokes equation in a half space. J. Evol. Equ., 1(1):115–142, 2001.
E. Fašangová and J. Prüss. Asymptotic behaviour of a semilinear viscoelastic beam model. Arch. Math. (Basel), 77(6):488–497, 2001.
D. Bothe and J. Prüss. Mass transport through charged membranes. In Elliptic and parabolic problems (Rolduc/Gaeta, 2001), pages 332–342. World Sci. Publ., River Edge, NJ, 2002.
J. Escher, J. Prüss, and G. Simonett. On the Stefan problem with surface tension. In Elliptic and parabolic problems (Rolduc/Gaeta, 2001), pages 377–388. World Sci. Publ., River Edge, NJ, 2002.
J. Prüss. Maximal regularity for abstract parabolic problems with inhomogeneous boundary data in \(L_p\)-spaces. In Proceedings of EQUADIFF, 10 (Prague, 2001), volume 127, pages 311–327, 2002.
J. Prüss. Maximal regularity for evolution equations in \(L_p\)-spaces. Conf. Semin. Mat. Univ. Bari, (285):1–39 (2003), 2002.
G. Metafune, J. Prüss, A. Rhandi, and R. Schnaubelt. The domain of the Ornstein-Uhlenbeck operator on an \(L^p\)-space with invariant measure. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 1(2):471–485, 2002.
S.-O. Londen, H. Petzeltová, and J. Prüss. Global well-posedness and stability of a partial integro-differential equation with applications to viscoelasticity. J. Evol. Equ., 3(2):169–201, 2003.
J. Escher, J. Prüss, and G. Simonett. Analytic solutions for a Stefan problem with Gibbs-Thomson correction. J. Reine Angew. Math., 563:1–52, 2003.
Ph. Clément and J. Prüss. Some remarks on maximal regularity of parabolic problems. In Evolution equations: applications to physics, industry, life sciences and economics (Levico Terme, 2000), volume 55 of Progr. Nonlinear Differential Equations Appl., pages 101–111. Birkhäuser, Basel, 2003.
R. Denk, M. Hieber, and J. Prüss. Towards an \(L^1\)-theory for vector-valued elliptic boundary value problems. In Evolution equations: applications to physics, industry, life sciences and economics (Levico Terme, 2000), volume 55 of Progr. Nonlinear Differential Equations Appl., pages 141–147. Birkhäuser, Basel, 2003.
J. Escher, J. Prüss, and G. Simonett. A new approach to the regularity of solutions for parabolic equations. In Evolution equations, volume 234 of Lecture Notes in Pure and Appl. Math., pages 167–190. Dekker, New York, 2003.
R. Denk, G. Dore, M. Hieber, J. Prüss, and A. Venni. New thoughts on old results of R. T. Seeley. Math. Ann., 328(4):545–583, 2004.
J. Prüss and G. Simonett. Maximal regularity for evolution equations in weighted \(L_p\)-spaces. Arch. Math. (Basel), 82(5):415–431, 2004.
G. Metafune, J. Prüss, R. Schnaubelt, and A. Rhandi. \(L^p\)-regularity for elliptic operators with unbounded coefficients. Adv. Differential Equations, 10(10):1131–1164, 2005.
D. Bothe, J. Prüss, and G. Simonett. Well-posedness of a two-phase flow with soluble surfactant. In Nonlinear elliptic and parabolic problems, volume 64 of Progr. Nonlinear Differential Equations Appl., pages 37–61. Birkhäuser, Basel, 2005.
G. Metafune, D. Pallara, J. Prüss, and R. Schnaubelt. \(L^p\) with singular coefficients. Z. Anal. Anwendungen, 24(3):497–521, 2005.
J. Prüss, L. Pujo-Menjouet, G. Webb, and R. Zacher. Analysis of a model for the dynamics of prions. Discrete Contin. Dyn. Syst. Ser. B, 6(1):225–235, 2006.
J. Prüss, R. Racke, and S. Zheng. Maximal regularity and asymptotic behavior of solutions for the Cahn-Hilliard equation with dynamic boundary conditions. Ann. Mat. Pura Appl. (4), 185(4):627–648, 2006.
J. Prüss and G. Simonett. Operator-valued symbols for elliptic and parabolic problems on wedges. In Partial differential equations and functional analysis, volume 168 of Oper. Theory Adv. Appl., pages 189–208. Birkhäuser, Basel, 2006.
J. Prüss and M. Wilke. Maximal \(L_p\)-regularity and long-time behaviour of the non-isothermal Cahn-Hilliard equation with dynamic boundary conditions. In Partial differential equations and functional analysis, volume 168 of Oper. Theory Adv. Appl., pages 209–236. Birkhäuser, Basel, 2006.
H. Engler, J. Prüss, and G. Webb. Analysis of a model for the dynamics of prions. II. J. Math. Anal. Appl., 324(1):98–117, 2006.
A. Bátkai, K. Engel, J. Prüss, and R. Schnaubelt. Polynomial stability of operator semigroups. Math. Nachr., 279(13-14):1425–1440, 2006.
R. Chill, E. Fašangová, and J. Prüss. Convergence to steady state of solutions of the Cahn-Hilliard and Caginalp equations with dynamic boundary conditions. Math. Nachr., 279(13-14):1448–1462, 2006.
Y. Latushkin, J. Prüss, and R. Schnaubelt. Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions. J. Evol. Equ., 6(4):537–576, 2006.
J. Prüss, A. Rhandi, and R. Schnaubelt. The domain of elliptic operators on \(L^p(\mathbb{R}^d)\) with unbounded drift coefficients. Houston J. Math., 32(2):563–576, 2006.
J. Prüss, J. Saal, and G. Simonett. Analytic solutions for the classical two-phase Stefan problem. In Proceedings of Equadiff 11, pages 415–425. Comenius University Press, 2007.
J. Prüss and G. Simonett. \(H^\infty \)-calculus for the sum of non-commuting operators. Trans. Amer. Math. Soc., 359(8):3549–3565, 2007.
S. Fornaro, G. Metafune, D. Pallara, and J. Prüss. \(L^p\)-theory for some elliptic and parabolic problems with first order degeneracy at the boundary. J. Math. Pures Appl. (9), 87(4):367–393, 2007.
J. Prüss, J. Saal, and G. Simonett. Existence of analytic solutions for the classical Stefan problem. Math. Ann., 338(3):703–755, 2007.
R. Denk, M. Hieber, and J. Prüss. Optimal \(L^p\)-estimates for parabolic boundary value problems with inhomogeneous data. Math. Z., 257(1):193–224, 2007.
D. Bothe and J. Prüss. \(L_p\)-theory for a class of non-Newtonian fluids. SIAM J. Math. Anal., 39(2):379–421, 2007.
Y. Latushkin, J. Prüss, and R. Schnaubelt. Center manifolds and dynamics near equilibria of quasilinear parabolic systems with fully nonlinear boundary conditions. Discrete Contin. Dyn. Syst. Ser. B, 9(3-4):595–633, 2008.
J. Prüss and G. Simonett. Maximal regularity for degenerate evolution equations with an exponential weight function. In Functional analysis and evolution equations, pages 531–545. Birkhäuser, Basel, 2008.
J. Prüss, S. Sperlich, and M. Wilke. An analysis of Asian options. In Functional analysis and evolution equations, pages 547–559. Birkhäuser, Basel, 2008.
J. Prüss and G. Simonett. Stability of equilibria for the Stefan problem with surface tension. SIAM J. Math. Anal., 40(2):675–698, 2008.
R. Denk, J. Prüss, and R. Zacher. Maximal \(L_p\)-regularity of parabolic problems with boundary dynamics of relaxation type. J. Funct. Anal., 255(11):3149–3187, 2008.
J. Prüss, R. Schnaubelt, and R. Zacher. Global asymptotic stability of equilibria in models for virus dynamics. Math. Model. Nat. Phenom., 3(7):126–142, 2008.
M. Hieber, L. Lorenzi, J. Prüss, A. Rhandi, and R. Schnaubelt. Global properties of generalized Ornstein-Uhlenbeck operators on \(L^p(\mathbb{R}^N,\mathbb{R}^N)\)with more than linearly growing coefficients. J. Math. Anal. Appl., 350(1):100–121, 2009.
J. Prüss. Decay properties for the solutions of a partial differential equation with memory. Arch. Math. (Basel), 92(2):158–173, 2009.
J. Prüss, G. Simonett, and R. Zacher. On convergence of solutions to equilibria for quasilinear parabolic problems. J. Differential Equations, 246(10):3902–3931, 2009.
F. Alabau-Boussouira, J. Prüss, and R. Zacher. Exponential and polynomial stability of a wave equation for boundary memory damping with singular kernels. C. R. Math. Acad. Sci. Paris, 347(5-6):277–282, 2009.
J. Prüss and G. Simonett. Analysis of the boundary symbol for the two-phase Navier-Stokes equations with surface tension. In Nonlocal and abstract parabolic equations and their applications, volume 86 of Banach Center Publ., pages 265–285. Polish Acad. Sci. Inst. Math., Warsaw, 2009.
J. Prüss, G. Simonett, and R. Zacher. On normal stability for nonlinear parabolic equations. Discrete Contin. Dyn. Syst., (Dynamical systems, differential equations and applications. 7th AIMS Conference, suppl.):612–621, 2009.
J. Prüss, V. Vergara, and R. Zacher. Well-posedness and long-time behaviour for the non-isothermal Cahn-Hilliard equation with memory. Discrete Contin. Dyn. Syst., 26(2):625–647, 2010.
D. Bothe and J. Prüss. On the two-phase Navier-Stokes equations with Boussinesq-Scriven surface fluid. J. Math. Fluid Mech., 12(1):133–150, 2010.
D. Bothe and J. Prüss. Stability of equilibria for two-phase flows with soluble surfactant. Quart. J. Mech. Appl. Math., 63(2):177–199, 2010.
M. Köhne, J. Prüss, and M. Wilke. On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces. J. Evol. Equ., 10(2):443–463, 2010.
J. Prüss and G. Simonett. On the two-phase Navier-Stokes equations with surface tension. Interfaces Free Bound., 12(3):311–345, 2010.
J. Prüss and G. Simonett. On the Rayleigh-Taylor instability for the two-phase Navier-Stokes equations. Indiana Univ. Math. J., 59(6):1853–1871, 2010.
J. Prüss and G. Simonett. Analytic solutions for the two-phase Navier-Stokes equations with surface tension and gravity. In Parabolic problems, volume 80 of Progr. Nonlinear Differential Equations Appl., pages 507–540. Birkhäuser/Springer Basel AG, Basel, 2011.
J. Prüss and M. Wilke. On conserved Penrose-Fife type models. In Parabolic problems, volume 80 of Progr. Nonlinear Differential Equations Appl., pages 541–576. Birkhäuser/Springer Basel AG, Basel, 2011.
J. Prüss and S. Shimizu. On well-posedness of incompressible two-phase flows with phase transitions: the case of non-equal densities. J. Evol. Equ., 12(4):917–941, 2012.
J. Prüss, Y. Shibata, S. Shimizu, and G. Simonett. On well-posedness of incompressible two-phase flows with phase transitions: the case of equal densities. Evol. Equ. Control Theory, 1(1):171–194, 2012.
J. Prüss, G. Simonett, and R. Zacher. Qualitative behavior of solutions for thermodynamically consistent Stefan problems with surface tension. Arch. Ration. Mech. Anal., 207(2):611–667, 2013.
J. Prüss, G. Simonett, and M. Wilke. Invariant foliations near normally hyperbolic equilibria for quasilinear parabolic problems. Adv. Nonlinear Stud., 13(1):231–243, 2013.
M. Köhne, J. Prüss, and M. Wilke. Qualitative behaviour of solutions for the two-phase Navier-Stokes equations with surface tension. Math. Ann., 356(2):737–792, 2013.
D. Bothe, M. Köhne, and J. Prüss. On a class of energy preserving boundary conditions for incompressible Newtonian flows. SIAM J. Math. Anal., 45(6):3768–3822, 2013.
J. Prüss, G. Simonett, and R. Zacher. On the qualitative behaviour of incompressible two-phase flows with phase transitions: the case of equal densities. Interfaces Free Bound., 15(4):405–428, 2013.
J. Prüss, J. Saal, and G. Simonett. Singular limits for the two-phase Stefan problem. Discrete Contin. Dyn. Syst., 33(11-12):5379–5405, 2013.
J. Prüss and G. Simonett. On the manifold of closed hypersurfaces in \(\mathbb{R}^n\)D. Discrete Contin. Dyn. Syst., 33(11-12):5407–5428, 2013.
J. Prüss, S. Shimizu, and M. Wilke. Qualitative behaviour of incompressible two-phase flows with phase transitions: the case of non-equal densities. Comm. Partial Differential Equations, 39(7):1236–1283, 2014.
J. LeCrone, J. Prüss, and M. Wilke. On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces II. J. Evol. Equ., 14(3):509–533, 2014.
J. Prüss, Y. Shao, and G. Simonett. On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension. Interfaces Free Bound., 17(4):555–600, 2015.
J. Prüss. Perturbations of exponential dichotomies for hyperbolic evolution equations. In Operator semigroups meet complex analysis, harmonic analysis and mathematical physics, volume 250 of Oper. Theory Adv. Appl., pages 453–461. Birkhäuser/Springer, Cham, 2015.
J. Prüss, G. Simonett, and M. Wilke. On thermodynamically consistent Stefan problems with variable surface energy. Arch. Ration. Mech. Anal., 220(2):603–638, 2016.
M. Hieber, M. Nesensohn, J. Prüss, and K. Schade. Dynamics of nematic liquid crystal flows: the quasilinear approach. Ann. Inst. H. Poincaré Anal. Non Linéaire, 33(2):397–408, 2016.
G. Mola, N. Okazawa, J. Prüss, and T. Yokota. Semigroup-theoretic approach to identification of linear diffusion coefficients. Discrete Contin. Dyn. Syst. Ser. S, 9(3):777–790, 2016.
J. Prüss, S. Shimizu, G. Simonett, and M. Wilke. On incompressible two-phase flows with phase transitions and variable surface tension. In Recent developments of mathematical fluid mechanics, Adv. Math. Fluid Mech., pages 411–442. Birkhäuser/Springer, Basel, 2016.
M. Hein and J. Prüss. The Hartman-Grobman theorem for semilinear hyperbolic evolution equations. J. Differential Equations, 261(8):4709–4727, 2016.
J. Prüss and G. Simonett. On the Muskat flow. Evol. Eq. Control Theory, 5(4):631–645, 2016.
M. Hieber and J. Prüss. Thermodynamically consistent modeling and analysis of nematic liquid crystal flows. In Mathematical Fluid Dynamics: Present and Future. Springer Proc. Math & Statistics 183, Y. Suzuki, Y. Shibata (eds.), to appear.
D. Bothe and Jan Prüss. On the interface formation model for dynamic triple lines. In Mathematical Fluid Dynamics: Present and Future. Springer Proc. Math & Statistics 183, Y. Suzuki, Y. Shibata (eds.), to appear.
J. Prüss and S. Shimizu. Qualitative behaviour of incompressible two-phase flows with phase transitions: the isothermal case. J. Math. Sci., to appear.
M. Hieber and J. Prüss. Modeling and analysis of nematic liquid crystal flows I. Math. Ann., to appear.
M. Herberg, M. Meyries, J. Prüss, and M. Wilke. Reaction-diffusion systems of Maxwell-Stefan type with reversible mass-action kinetics. Nonlinear Anal., to appear.
D. Bothe and J. Prüss. Modeling and analysis of reactive multi-component two-phase flow with mass transfer and phase transition: the isothermal incompressible case. Discrete Cont. Dyn. Sys. (S), to appear.
J. Prüss and M. Wilke. Addendum to the paper: On quasilinear evolution equations in weighted \({L}_p\)-spaces II. J. Evol. Eq., to appear.
M. Hieber and J. Prüss. Modeling and analysis of the Ericksen-Leslie equations for nematic liquid crystal flows. In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, to appear.
J. Prüss and S. Shimizu. Modeling of two-phase flows with and without phase transitions. In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, to appear.
A. Favini, N. Okazawa, and J. Prüss. Singular perturbation approach to Legendre type operators. Riv. Mat. Univ. Parma, to appear.
J. Prüss. On second-order elliptic operators with complete first-order boundary degeneration and strong outward drift. Archiv Math., to appear.
J. Prüss. On the Quasi-Geostrophic Equations on Compact Closed Surfaces in \(\mathbb{R}^3\). J. Funct. Anal., to appear.
Engineering Articles
H.-J. Warnecke, J. Prüss, and H. Langemann. On a mathematical model of loop reactors I. Chem. Eng. Sci., 40:2321–2326, 1985.
H.-J. Warnecke, J. Prüss, L. Leber, and H. Langemann. On a mathematical model of loop reactors II. Chem. Eng. Sci., 40:2327–2331, 1985.
H.-J. Warnecke, M. Weidenbach, J. Prüss, and H. Langemann. Bestimmung von Dispersionskoeffizienten in gas-flüssig Strahldüsen-Schlaufenreaktoren. Chem. Ing. Technik, 59:496–499, 1987.
H.-J. Warnecke, G. Tamm, and J. Prüss. Absorption von Kohlendioxid in Wasser. Chem. Ing. Technik, 60:401–403, 1988.
J. Prüss and H.-J. Warnecke. A new model for isobutene separation from C4-cuts. In Proc. Conf. Chemeca, pages 594–601, 1988.
H.-J. Warnecke, D. Vaupel, J. Prüss, and H. Langemann. Gasphasedispersion in gas-flüssig Strahldüsen-Schlaufenreaktoren. Chem. Ing. Technik, 61, 1989.
J. Prüss and H.-J. Warnecke Isobuten-Abtrennung: Experimente und Modellierung. In Dechema-Monographien 118, Katalyse, pages 337–347. 1989.
R. Schlott, J. Prüss and G. Mrozynski. Integration of wideband service in time division multiplex systems. Trans. IEEE, 39:256–268, 1991.
H.-J. Warnecke, J. Prüss, B. Bienek, and R.G. Presenti. Modeling isobutene extraction from mixed C4-streams. Chem. Eng. Sci., 47:533–541, 1992.
P. Hußmann, Ch. Kube, J. Prüss, F. Reineke, and H.-J. Warnecke. Oxidation of organic air pol-lutions in an aerosol operated jet loop reactor. In Proc. Fourth World Congress of Chemical Engineering, 1992.
M. Lindert, B. Kochbeck, J. Prüss, and H.-J. Warnecke. Scale-up of airlift-loop bioreactors based on modeling the oxygen mass transfer. Chem. Eng. Sci., 47:2281–2286, 1992.
T. Stockhausen, J. Prüss, and H.U. Moritz. An isoperibol calorimeter: A simple apparatus for monitoring polymerization reactions. In Proc. Fourth Int. Workshop on Polymer Reaction Engineering, pages 341–349, 1992.
H.-J. Warnecke, J. Prüss, G. Tamm, and M. Brinkmann. Influence of recycling on mass transfer and reaction in a g-l jet loop reactor with variable interfacial area. Chem. Eng. Technol., 16:58–61, 1993.
T. Blume, J. Prüss, and H.-J. Warnecke. Zur Parameterbestimmung bei chemischen Prozessen. Chem. Ing. Technik, 65:914–920, 1993.
M. Brinkmann, J. Prüss, and H.-J. Warnecke. Influence of liquid viscosity on hydrodynamics and mass transfer in a g-l jet loop reactor. In Proc. 3rd German-Japanese symp. bubble columns, pages 141–146, 1994.
Ch. Kube, T. Blume, J. Prüss, and H.-J. Warnecke. Chemical absorption of mercaptan in an aerosol operated loop reactor. Can. J. Chem. Eng., 72:1000–1006, 1994.
J. Prüss and R. Schlott. Ergodicity of multiserver queueing systems with various bandwidth allocation techniques. Australian Telecom. Res., 29:13–23, 1995.
Ch. Kersting, J. Prüss, and H.-J. Warnecke. Residence time distribution of a screw loop reactor: Experiments and modelling. Chem. Eng. Sci., 50:299–308, 1995.
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Bothe, D., Denk, R., Hieber, M. et al. Preface. J. Evol. Equ. 17, 1–15 (2017). https://doi.org/10.1007/s00028-017-0387-1
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DOI: https://doi.org/10.1007/s00028-017-0387-1