Navier-Stokes equations with nonhomogeneous boundary conditions in a convex bi-dimensional domain
Vincent Girinon (2009)
Annales de l'I.H.P. Analyse non linéaire
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Vincent Girinon (2009)
Annales de l'I.H.P. Analyse non linéaire
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M. Boulakia, S. Guerrero (2009)
Annales de l'I.H.P. Analyse non linéaire
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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 polynomially increasing with a scalar quantity that evolves according to an evolutionary convection diffusion equation with the right hand side that is merely -integrable over space and time. We also formulate a conjecture concerning...
Alves, Margareth S., Rivera, Jaime E.Muñoz, Sepúlveda, Mauricio, Villagrán, Octavio Vera (2011)
Boundary Value Problems [electronic only]
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Hans Lindblad (2000-2001)
Séminaire Équations aux dérivées partielles
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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.