On the evolution equations of viscous gaseous stars
Paolo Secchi (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “On the solvability of some initial boundary value problems of magnetofluidmechanics with Hall and ion-slip effects”
On the evolution equations of viscous gaseous stars
On the stationary motion of compressible viscous fluids
Paolo Secchi (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On inhomogeneous incompressible fluids and reverse Hölder inequalities
Arina Arkhipova, Olga Ladyzhenskaya (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On an initial-boundary value problem for the parabolic system which appears in free boundary problems for compressible Navier-Stokes equations
W. M. Zajączkowski
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The existence and uniqueness of solutions of an initial-boundary value problem for the second order linear parabolic system which appears in free boundary problems for compressible Navier-Stokes equations are proved. Moreover, an estimate in anisotropic Sobolev-Slobodetskii spaces with noninteger derivatives is found. The existence and regularity of solutions are shown by means of a regularizer in the same way as in the case of general parabolic systems. However, the problem must be...
Boundary-value problems for a class of first order partial differential equations in Sobolev spaces and applications to the Euler flow
H. Beirão da Veiga (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Weak solutions for a well-posed Hele-Shaw problem
S. N. Antontsev, A. M. Meirmanov, V. V. Yurinsky (2004)
Bollettino dell'Unione Matematica Italiana
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We analyze existence and uniqueness of weak solutions to the well-posed Hele-Shaw problem under general conditions on the fixed boundaries and non-homogeneous governing equation in the unknown domain and non-homogeneous dynamic condition on the free boundary. Our approach allows us also to minimize the restrictions on the boundary and initial data. We derive several estimates on the solutions in spaces, prove a comparison theorem, and show that the solution depends continuously on...