Weak convergence results for inhomogeneous rotating fluid equations
偏微分方程分析
2007-05-23 v1
摘要
We consider the equations governing incompressible, viscous fluids in three space dimensions, rotating around an inhomogeneous vector B(x): this is a generalization of the usual rotating fluid model (where B is constant). We prove the weak convergence of Leray--type solutions towards a vector field which satisfies the usual 2D Navier--Stokes equation in the regions of space where B is constant, with Dirichlet boundary conditions, and a heat--type equation elsewhere. The method of proof uses weak compactness arguments.
引用
@article{arxiv.math/0302103,
title = {Weak convergence results for inhomogeneous rotating fluid equations},
author = {Isabelle Gallagher and Laure Saint-Raymond},
journal= {arXiv preprint arXiv:math/0302103},
year = {2007}
}