Weak convergence results for inhomogeneous rotating fluid equations

✍ Scribed by Isabelle Gallagher; Laure Saint-Raymond

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 108 KB
• Volume: 336
• Category: Article
• ISSN: 1631-073X
• DOI: 10.1016/s1631-073x(03)00066-9

✦ Synopsis

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.