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arXiv · 0910.0597

The initial value problem for motion of micropolar fluids with heat conduction in Banach spaces

Ryôhei Kakizawa
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Abstract

We consider the abstract initial value problem for the system of evolution equations which describe motion of micropolar fluids with heat conduction in a bounded domain. This problem has uniquely a mild solution locally in time for general initial data, and globally in time for small initial data. Moreover, a mild solution of this problem can be a strong or classical solution under appropriate assumptions for initial data. We prove the above properties by the theory of analytic semigroups on Banach spaces.

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Ryôhei Kakizawa. 2010-06-04. The initial value problem for motion of micropolar fluids with heat conduction in Banach spaces. https://arxiv.org/abs/0910.0597

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