On existence and Schauder regularity of solutions to a class of generalized stationary Stokes problems
Huy, Nguyen Duc, Stará, Jana
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Displaying similar documents to “On singular perturbation of the Stokes problem”
On existence and Schauder regularity of solutions to a class of generalized stationary Stokes problems
On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable
Eduard Feireisl (2001)
Commentationes Mathematicae Universitatis Carolinae
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We show compactness of bounded sets of weak solutions to the isentropic compressible Navier-Stokes equations in three space dimensions under the hypothesis that the adiabatic constant .
Trapping regions and an ODE-type proof of the existence and uniqueness theorem for Navier-Stokes equations with periodic boundary conditions on the plane.
Zgliczyński, Piotr (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Some remarks to the compactness of steady compressible isentropic Navier-Stokes equations via the decomposition method
Antonín Novotný (1996)
Commentationes Mathematicae Universitatis Carolinae
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In [18]–[19], P.L. Lions studied (among others) the compactness and regularity of weak solutions to steady compressible Navier-Stokes equations in the isentropic regime with arbitrary large external data, in particular, in bounded domains. Here we investigate the same problem, combining his ideas with the method of decomposition proposed by Padula and myself in [29]. We find the compactness of the incompressible part of the velocity field and we give a new proof of the compactness...
Convergence of the rotating fluids system in a domain with rough boundaries
David Gérard-Varet (2003)
Journées équations aux dérivées partielles
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We consider a rotating fluid in a domain with rough horizontal boundaries. The Rossby number, kinematic viscosity and roughness are supposed of characteristic size . We prove a convergence theorem on solutions of Navier-Stokes Coriolis equations, as goes to zero, in the well prepared case. We show in particular that the limit system is a two-dimensional Euler equation with a nonlinear damping term due to boundary layers. We thus generalize the results obtained on flat boundaries with...