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arXiv · 2005.05429

Well-posedness for a family of degenerate parabolic mixed equations

Ramiro Acevedo·Christian Gómez·Bibiana López Rodríguez
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Abstract

The aim of this work is to show an abstract framework to analyze a family of linear degenerate parabolic mixed equations. We combine the theory for the degenerate parabolic equations with the classical Babuska-Brezzi theory for linear mixed stationary equations to deduce sufficient conditions to prove the well-posedness of the problem. Finally, we illustrate the application of the abstract framework through examples that come from physical science applications including fluid dynamics models and electromagnetic problems.

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Ramiro Acevedo, Christian Gómez, Bibiana López Rodríguez. 2020-05-11. Well-posedness for a family of degenerate parabolic mixed equations. https://arxiv.org/abs/2005.05429

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