Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
AGMON, S.-DOUGLIS, A.-NIRENBERG, L. Estimates Near the Boundary for Solutions of Elliptic Partial Differential Equations Satisfying General Boundary Conditions, II. Comm. Pure Appl. Math. 17 (1964), 35–92.
BEMELMANS, J. Eine Aussenraumaufgabe für die instationären Navier-Stokes-Gleichungen. Math. Z. 162 (1978), 145–173.
BEMELMANS, J. Klassische Lösungen der instationären Navier-Stokes-Gleichungen in Gebieten mit beweglichen Rändern. To appear.
BOCK, D.N. On the Navier-Stokes Equations in Noncylindrical Domains. J. Diff. Equ. 25 (1977), 151–162.
FAXÉN, H. Fredholmsche Integralgleichungen zu der Hydrodynamik zäher Flüssigkeiten, I. Arkiv för Mat., Astr. och Fys. 21A (1928/29), 1–40.
FINN, R. An Energy Theorem for Viscous Fluid Motions. Arch. Rat. Mech. Anal. 6 (1960), 371–381.
FINN, R. Stationary Solutions of the Navier-Stokes Equations. Proc. Symp. Appl. Math. 17 (1965), 121–153.
FINN, R. Mathematical Questions Relating to Viscous Fluid Flow in an Exterior Domain. Rocky Mountain J. Math. 3 (1973), 107–140.
FUJITA, H.-KATO, T. On the Navier-Stokes initial value problem I. Arch. Rat. Mech. Qual. 16 (1964), 269–315.
FUJITA, H.-SAUER, N. On existence of weak solutions of the Navier-Stokes equations in regions with moving boundaries. J. Fac. Sci. Univ. Tokyo Sect. I 28 (1970), 403–420.
HEINZ, E. Über die Existenz einer Fläche konstanter mittlerer Krümmung bei vorgegebener Berandung. Math. Ann. 127 (1954), 258–287.
HILDEBRANDT, S. Randwertprobleme für Flächen mit vorgeschriebener mittlerer Krümmung und Anwendungen auf die Kapillaritätstheorie, I: Fest vorgegebener Rand. Math. Z. 112 (1969), 205–213.
INOUE, A.-WAKIMOTO, M. On existence of solutions of the Navier-Stokes equations in a time dependent domain. J. Fac. Sci. Univ. Tokyo Sect. IA, 24 (1977), 303–320.
KATO, T.-FUJITA, H. On the nonstationary Navier-Stokes system. Rend. Sem. Mat. Univ. Padova 32 (1962), 243–260.
KIELHÖFER, H. Halbgruppen und semilineare Anfangs-Randwertprobleme. manuscripta math. 12 (1974), 121–154.
LADYZHENSKAYA, O.A. Initial-boundary problems for Navier-Stokes equations in domains with time-varying boundaries. Sem. in Math. V.A. Steklov Math. Inst. 11 (1970), 35–46.
ODQVIST, F.K.G. Über die Randwertaufgaben der Hydrodynamik zäher Flüssigkeiten. Math. Z. 32 (1930), 329–375.
ÔTANI, M.-YAMADA, Y. On the Navier-Stokes equations in non-cylindrical domains: an approach by the subdifferential operator theory. J. Fac. Sci. Univ. Tokyo Sect. IA, 25 (1978), 194–205.
PRODI, G. Teoremi die tipo locale per il sistema di Navier-Stokes e stabilità delle soluzioni stazionarie. Rend. Sem. Mat. Univ. Padova 32 (1962), 374–397.
SATHER, J.O. The Initial Boundary Value Problem for the Navier-Stokes Equations in Regions with Moving Boundaries. Ph. D. Thesis, Univ. of Minnesota, 1963.
SOLONNIKOV, V.A. On bounadry value problems for linear parabolic systems of differential equations of general form. Proc. Steklov Inst. Math. 83 (1965).
TOMI, F. A Perturbation Theorem for Surfaces of Constant Mean Curvature. Math. Z. 141 (1975), 253–264.
WAHL, W. von Gebrochene Potenzen eines elliptischen Operators und parabolische Differentialgleichungen in Räumen hölderstetiger Funktionen. Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II 11 (1972), 231–258.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1980 Springer-Verlag
About this paper
Cite this paper
Bemelmans, J. (1980). CO+α-semigroups for flows past obstacles and for flows with capillary surfaces. In: Rautmann, R. (eds) Approximation Methods for Navier-Stokes Problems. Lecture Notes in Mathematics, vol 771. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086901
Download citation
DOI: https://doi.org/10.1007/BFb0086901
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09734-1
Online ISBN: 978-3-540-38550-9
eBook Packages: Springer Book Archive