On the stationary motion of a Stokes fluid in a thick elastic tube: a 3D/3D interaction problem.
Surulescu, C. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “Weak solutions for a fluid-elastic structure interaction model.”
On the stationary motion of a Stokes fluid in a thick elastic tube: a 3D/3D interaction problem.
A direct boundary integral method for a mobility problem.
Kohr, Mirela (2000)
Georgian Mathematical Journal
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Asymptotic behavior of a non-Newtonian flow with stick-slip condition.
Boughanim, Fouad, Boukrouche, Mahdi, Smaoui, Hassan (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Existence of solutions for an Oldroyd model of viscoelastic fluids.
De Araujo, Geraldo M., De Menezes, Silvano B., Marinho, Alexandro O. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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 .
Dynamics of Singularity Surfaces for Compressible Navier-Stokes Flows in Two Space Dimensions
David Hoff (2001)
Journées équations aux dérivées partielles
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We prove the global existence of solutions of the Navier-Stokes equations of compressible, barotropic flow in two space dimensions with piecewise smooth initial data. These solutions remain piecewise smooth for all time, retaining simple jump discontinuities in the density and in the divergence of the velocity across a smooth curve, which is convected with the flow. The strengths of these discontinuities are shown to decay exponentially in time, more rapidly for larger acoustic speeds...
Some recent results on the Muskat problem
Angel Castro, Diego Córdoba, Francisco Gancedo (2010)
Journées Équations aux dérivées partielles
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We consider the dynamics of an interface given by two incompressible fluids with different characteristics evolving by Darcy’s law. This scenario is known as the Muskat problem, being in 2D mathematically analogous to the two-phase Hele-Shaw cell. The purpose of this paper is to outline recent results on local existence, weak solutions, maximum principles and global existence.
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...