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|Type:||Artigo de periódico|
|Title:||STRONG SOLUTIONS AND INVISCID LIMIT FOR BOUSSINESQ SYSTEM WITH PARTIAL VISCOSITY|
|Abstract:||We consider the convection problem of a fluid with viscosity depending on temperature in either a bounded or an exterior domain Omega subset of R-N, N = 2, 3. It is assumed that the temperature is transported without thermal conductance (dissipation) by the velocity field which is described by the Navier-Stokes flow. This model is commonly called the Boussinesq system with partial viscosity. In this paper we prove the existence and uniqueness of strong solutions for the Boussinesq system with partial viscosity with initial data in W-2-2/p,W- p (Omega) x W-1,W-q (Omega). For a bounded domain Omega, we also analyze the inviscid limit problem when the conductivity in the fully viscous Boussinesq system goes to zero.|
|Editor:||Int Press Boston, Inc|
|Citation:||Communications In Mathematical Sciences. Int Press Boston, Inc, v. 11, n. 2, n. 421, n. 439, 2013.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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