𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On existence and regularity of solutions for 2-D micropolar fluid equations with periodic boundary conditions

✍ Scribed by Piotr Szopa


Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
162 KB
Volume
30
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

In this paper, we prove the existence and uniqueness of a global solution for 2‐D micropolar fluid equation with periodic boundary conditions. Then we restrict ourselves to the autonomous case and show the existence of a global attractor. Copyright Β© 2006 John Wiley & Sons, Ltd.


πŸ“œ SIMILAR VOLUMES


On the existence and uniqueness of solut
✍ Tadeusz Jankowski; Marian Kwapisz πŸ“‚ Article πŸ“… 1976 πŸ› John Wiley and Sons 🌐 English βš– 419 KB πŸ‘ 1 views

A question of the existence of fiolutions of boundary-value problems for differential equations with parameter was considered by many authors, see [1]-[3] and [5]-[9]. The analogous problems for differential equations with a deviated argument was discussed in [8] and [3]. The purpose of this paper

Global existence of solutions for 2-D se
✍ Ryo Ikehata πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 148 KB

## Abstract We shall derive some global existence results to semilinear wave equations with a damping coefficient localized near infinity for very special initial data in __H__Γ—__L__^2^. This problem is dealt with in the two‐dimensional exterior domain with a star‐shaped complement. In our result,

On the weak solution of the Neumann prob
✍ A. E. Merzon; F.-O. Speck; T. J. Villalba-Vega πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 312 KB πŸ‘ 1 views

We extend previous results for the Neumann boundary value problem to the case of boundary data from the space H -1 2 +e (C), 0<e< 1 2 , where C = \*X is the boundary of a two-dimensional cone X with angle b<p. We prove that for these boundary conditions the solution of the Helmholtz equation in X ex