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Título:
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A parabolic system involving a quadratic gradient term related to the Boussinesq approximation
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Autores:
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Díaz Díaz, Jesús Ildefonso ;
Rakotoson, Jean Michel Theresien ;
Schmidt, Paul G.
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Tipo de documento:
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texto impreso
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Editorial:
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Real Academia Ciencias Exactas Físicas Y Naturales, 2007
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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We propose a modification of the classical Boussinesq approximation for buoyancy-driven flows of viscous, incompressible fluids in situations where viscous heating cannot be neglected. This modification is motivated by unresolved issues regarding the global solvability of the original system. A very simple model problem leads to a coupled system of two parabolic equations with a source term involving the square of the gradient of one of the unknowns. Based on adequate notions of weak and strong solutions, we establish the global-in-time existence of weak solutions and the uniqueness of strong solutions.
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En línea:
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https://eprints.ucm.es/id/eprint/15290/1/37.pdf
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