In this paper, we establish the existence and uniqueness of strong solutions for the viscous incompressible chemically active fluid in an unbounded domain differing somewhat from those previously known.
Existence and uniqueness of strong solution for the incompressible micropolar fluid equations in domains of({mathbb{R}^3})
✍ Scribed by J. L. Boldrini; M. Durán; M. A. Rojas-Medar
- Book ID
- 107392666
- Publisher
- Springer-Verlag
- Year
- 2010
- Tongue
- German
- Weight
- 184 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0430-3202
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📜 SIMILAR VOLUMES
In this paper we are concerned with the initial boundary value problem of the micropolar uid system in a three dimensional bounded domain. We study the resolvent problem of the linearized equations and prove the generation of analytic semigroup and its time decay estimates. In particular, L p -L q t
## Abstract We prove the existence of a global strong solution in some class of Marcinkiewicz spaces for the micropolar fluid in an exterior domain of __R__^3^, with initial conditions being a non‐smooth disturbance of a steady solution. We also analyse the large time behaviour of those solutions a
## Abstract In this paper we study the magneto‐micropolar fluid equations in ℝ^3^, prove the existence of the strong solution with initial data in __H__^__s__^(ℝ^3^) for $s>{3\over2}$, and set up its blow‐up criterion. The tool we mainly use is Littlewood–Paley decomposition, by which we obtain a B