Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Local existence of solutions is proved for equations describing the motion of a viscous compressible barotropic and self-gravitating fluid in a domain bounded by a free surface. First by the Galerkin method and regularization techniques the existence of solutions of the linearized momentum equations is proved, next by the method of successive approximations local existence to the nonlinear problem is shown.
Czasopismo
Rocznik
Tom
Numer
Strony
1-31
Opis fizyczny
Daty
wydano
1999
otrzymano
1998-04-27
Twórcy
autor
- Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242, U.S.A.
autor
- Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland
Bibliografia
- [1] L. Landau and E. Lifschitz, Hydrodynamics, Nauka, Moscow, 1986 (in Russian); English transl.: Fluid Mechanics, Pergamon Press, Oxford, 1987.
- [2] P. Secchi, On the evolution equations of viscous gaseous stars, Ann. Scuola Norm. Sup. Pisa 18 (1991), 295-318.
- [3] V. A. Solonnikov, On nonstationary motion of a bounded isolated mass of a selfgravitating fluid, Algebra i Analiz 1 (1989), 207-249 (in Russian).
- [4] G. Ströhmer and W. M. Zajączkowski, On stability of equilibrium solution for compressible barotropic viscous self-gravitating fluid motions bounded by a free surface, to appear.
- [5] W. M. Zajączkowski, Existence of local solutions for free boundary problems for viscous compressible barotropic fluid, Ann. Polon. Math. 60 (1995), 255-287.
- [6] W. M. Zajączkowski, On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface, Dissertationes Math. 324 (1993).
Typ dokumentu
Bibliografia
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