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Unique solvability of compressible micropolar viscous fluids

Mingtao Chen

Author Affiliations

School of Mathematics and Statistics, Shandong University at Weihai, Weihai 264209, PR China

Boundary Value Problems 2012, 2012:32  doi:10.1186/1687-2770-2012-32

Published: 20 March 2012


In this article, we consider the compressible micropolar viscous flow in a bounded or unbounded domain Ω ⊆ ℝ3. We prove the existence of unique local strong solutions for large initial data satisfying some compatibility conditions. The key point here is that the initial density need not be positive and may vanish in an open set.