Ekman boundary layers in rotating fluids

Jean-Yves Chemin; Benoît Desjardins; Isabelle Gallagher; Emmanuel Grenier

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Navier-Stokes equations with nonhomogeneous boundary conditions in a convex bi-dimensional domain

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A regularity result for a solid-fluid system associated to the compressible Navier-Stokes equations

M. Boulakia, S. Guerrero (2009)

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On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions

Miroslav Bulíček, Roger Lewandowski, Josef Málek (2011)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we establish the large-data and long-time existence of a suitable weak solution to an initial and boundary value problem driven by a system of partial differential equations consisting of the Navier-Stokes equations with the viscosity $ν$ polynomially increasing with a scalar quantity $k$ that evolves according to an evolutionary convection diffusion equation with the right hand side $ν (k) | 𝖣 (\vec{v}) |^{2}$ that is merely $L^{1}$ -integrable over space and time. We also formulate a conjecture concerning...

Transmission problem in thermoelasticity.

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The motion of the free surface of a liquid

Hans Lindblad (2000-2001)

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On a differential inequality for equations of a viscous compressible heat conducting fluid bounded by a free surface

Ewa Zadrzyńska, Wojciech M. Zajączkowski (1995)

Annales Polonici Mathematici

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We derive a global differential inequality for solutions of a free boundary problem for a viscous compressible heat conducting fluid. The inequality is essential in proving the global existence of solutions.