Stationary solutions for generalized Boussinesq models in exterior domains.

Notte-Cuello, E.A.; Rojas-Medar, M.A.

Displaying similar documents to “Stationary solutions for generalized Boussinesq models in exterior domains.”

On the exterior steady problem for the equations of a viscous isothermal gas

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 $ϱ$ , moving in an exterior domain, when the speed of the obstacle and the external forces are sufficiently small.

A penalty method for approximations of the stationary power-law Stokes problem.

Lefton, Lew, Wei, Dongming (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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On the Navier-Stokes equations with temperature-dependent transport coefficients.

Feireisl, Eduard, Málek, Josef (2006)

Differential Equations & Nonlinear Mechanics

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Planar flows of incompressible heat-conducting shear-thinning fluids — existence analysis

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 $L^{\infty}$ -truncation method, used to obtain the strong convergence of...

Regularity of the interface for the porous medium equation.

Ko, Youngsang (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Homogenization of the compressible Navier–Stokes equations in a porous medium

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 $ε$ ) 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”.