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

Autor: Kakizawa, Ry��hei
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Popis: 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.
40 pages
Databáze: OpenAIRE