Mariarosaria Padula (1993)
Commentationes Mathematicae Universitatis Carolinae
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We prove existence and a representation formula for solutions to the equations describing steady flows of an isothermal, viscous, compressible gas having a positive infimum for the density , moving in an exterior domain, when the speed of the obstacle and the external forces are sufficiently small.
Lefton, Lew, Wei, Dongming (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Feireisl, Eduard, Málek, Josef (2006)
Differential Equations & Nonlinear Mechanics
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Miroslav Bulíček, Oldřich Ulrych (2011)
Applications of Mathematics
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We study the flow of an incompressible homogeneous fluid whose material coefficients depend on the temperature and the shear-rate. For large class of models we establish the existence of a suitable weak solution for two-dimensional flows of fluid in a bounded domain. The proof relies on the reconstruction of the globally integrable pressure, available due to considered Navier’s slip boundary conditions, and on the so-called -truncation method, used to obtain the strong convergence of...
Ko, Youngsang (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Nader Masmoudi (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the homogenization of the compressible Navier–Stokes system in a periodic porous medium (of period ) with Dirichlet boundary conditions. At the limit, we recover different systems depending on the scaling we take. In particular, we rigorously derive the so-called “porous medium equation”.
Sébastien Novo, Antonín Novotný (2005)
Applications of Mathematics
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For convenient adiabatic constants, existence of weak solutions to the steady compressible Navier-Stokes equations in isentropic regime in smooth bounded domains is well known. Here we present a way how to prove the same result when the bounded domains considered are Lipschitz.
Maria-Rosaria Padula (1983)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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Si fornisce un teorema di unicità per moti stazionari regolari di fluidi compressibili, viscosi, termicamente conduttori, svolgentisi in regioni esterne a domini compatti della spazio fisico.
Maria-Rosaria Padula (1983)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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Si fornisce un teorema di unicità per moti stazionari regolari di fluidi compressibili, viscosi, termicamente conduttori, svolgentisi in regioni limitate dello spazio fisico.