Magneto-micropolar fluid motion: existence of weak solutions.

Marko A. Rojas-Medar; José Luiz Boldrini

Displaying similar documents to “Magneto-micropolar fluid motion: existence of weak solutions.”

The initial value problem for the equations of magnetohydrodynamic type in non-cylindrical domains.

M. A. Rojas-Medar, R. Beltrán-Barrios (1995)

Revista Matemática de la Universidad Complutense de Madrid

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By using the spectral Galerkin method, we prove the existence of weak solutions for a system of equations of magnetohydrodynamic type in non-cylindrical domains.

Some theoretical results concerning non newtonian fluids of the Oldroyd kind

Enrique Fernández-Cara, Francisco Guillén, Rubens R. Ortega (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On global motion of a compressible barotropic viscous fluid with boundary slip condition

Takayuki Kobayashi, Wojciech Zajączkowski (1999)

Applicationes Mathematicae

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Global-in-time existence of solutions for equations of viscous compressible barotropic fluid in a bounded domain Ω ⊂ $ℝ^{3}$ with the boundary slip condition is proved. The solution is close to an equilibrium solution. The proof is based on the energy method. Moreover, in the $L_{2}$ -approach the result is sharp (the regularity of the solution cannot be decreased) because the velocity belongs to $H^{2 + α, 1 + α / 2} (Ω \times ℝ_{+})$ and the density belongs to $H^{1 + α, 1 / 2 + α / 2} (Ω \times ℝ_{+})$ , α ∈ (1/2,1).

Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid

Eduard Feireisl (2002)

Mathematica Bohemica

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This is a survey of some recent results on the existence of globally defined weak solutions to the Navier-Stokes equations of a viscous compressible fluid with a general barotropic pressure-density relation.

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...

A new method to obtain decay rate estimates for dissipative systems with localized damping.

Patrick Martínez (1999)

Revista Matemática Complutense

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We consider the wave equation damped with a locally distributed nonlinear dissipation. We improve several earlier results of E. Zuazua and of M. Nakao in two directions: first, using the piecewise multiplier method introduced by K. Liu, we weaken the usual geometrical conditions on the localization of the damping. Then thanks to some new nonlinear integral inequalities, we eliminate the usual assumption on the polynomial growth of the feedback in zero and we show that the energy of the...