On weak solutions to the equations of non-stationary motion of heat-conducting incompressible viscous fluids: defect measure and energy equality

Joachim Naumann

Displaying similar documents to “On weak solutions to the equations of non-stationary motion of heat-conducting incompressible viscous fluids: defect measure and energy equality”

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.

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

Feireisl, Eduard

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On Energy Inequality, Smoothness and Large Time Behavior in L2 for Weak Solutions of the Navier-Stokes Equations in Exterior Domains.

Hermann Sohr, Tetsuro Miyakawa (1988)

Mathematische Zeitschrift

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Time-dependent coupling of Navier–Stokes and Darcy flows

Aycil Cesmelioglu, Vivette Girault, Béatrice Rivière (2013)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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A weak solution of the coupling of time-dependent incompressible Navier–Stokes equations with Darcy equations is defined. The interface conditions include the Beavers–Joseph–Saffman condition. Existence and uniqueness of the weak solution are obtained by a constructive approach. The analysis is valid for weak regularity interfaces.

On the regularity for solutions of the micropolar fluid equations

Elva Ortega-Torres, Marko Rojas-Medar (2009)

Rendiconti del Seminario Matematico della Università di Padova

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Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence

R. Farwig, H. Kozono, H. Sohr (2011)

Rendiconti del Seminario Matematico della Università di Padova

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A uniqueness criterion for the solution of the stationary Navier-Stokes equations

Giovanni Prouse (1989)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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A uniqueness criterion is given for the weak solution of the Navier-Stokes equations in the stationary case. Precisely, it is proved that, for a generic known term, there exists one and only one solution such that the mechanical power of the corresponding flow is maximum and that this maximum is "stable" in an appropriate sense.