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Two existence theorems for systems of conservation laws with dissipation

  • Hyperbolic P.D.E. Theory
  • Conference paper
  • First Online:
Nonlinear Hyperbolic Problems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1270))

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References

  1. R. Courant and K.O. Friedrichs, Supersonic Flow and Shock Waves, Wiley-Interscience, New York, 1948.

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  2. David Hoff, Construction of solutions for compressible, isentropic Navier-Stokes equations in one space dimension with nonsmoothinitial data, to appear in Proc. Royal Soc. Edin.

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  3. David Hoff and Joel Smoller, Global existence for systems of parabolic conservation laws in several space variables, submitted to J. Diff. Eqns.

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  4. David Hoff and Joel Smoller, Solutions in the large for certain nonlinear parabolic systems, Ann. Inst. Henri Poincaré, 2, no. 3, (1985), pp. 213–235.

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  5. Ya. Kanel, On a model system of equations of one-dimensional gas motion, Diff. Eqns. 4, (1968), 374–380.

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  6. A. Kazhikov and V. Shelukhin, Unique global solutions in time of initial boundary value problems for one dimensional equations of a viscous gas, PMMJ Appl. Math. Mech. 41, (1977), 273–283.

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  7. Jong Uhn Kim, Global existence of solutions of the equations of one dimensional thermoviscoelasticity with initial data in BV and L1, Annali Scuola Normale Superiore Pisa X, no. 3 (1983), 357–427.

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Authors and Affiliations

  1. Department of Mathematics, Indiana University, 47405, Bloomington, IN, USA

    David Hoff

Authors
  1. David Hoff
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Editor information

Claude Carasso Denis Serre Pierre-Arnaud Raviart

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© 1987 Springer-Verlag

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Hoff, D. (1987). Two existence theorems for systems of conservation laws with dissipation. In: Carasso, C., Serre, D., Raviart, PA. (eds) Nonlinear Hyperbolic Problems. Lecture Notes in Mathematics, vol 1270. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078328

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  • DOI: https://doi.org/10.1007/BFb0078328

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18200-9

  • Online ISBN: 978-3-540-47805-8

  • eBook Packages: Springer Book Archive

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