Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature

被引：12

作者：

Climent-Ezquerra, Blanca

Guillen-Gonzalez, Francisco

Rojas-Medar, Marko Antonio

机构：

[1] Univ Seville, Dept Ecuac Diferencales & Anal Numer, E-41080 Seville, Spain

[2] Univ Bio Bio, Fac Ciencias, Dept Ciencias Basic, Chillan, Chile

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2007年 / 463卷 / 2085期

关键词：

regularity; time-periodic solutions; nonlinear diffusion; Navier-Stokes type equations;

D O I：

10.1098/rspa.2007.1867

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The aim of this work is to prove the existence of regular time-periodic solutions for a generalized Boussinesq model (with nonlinear diffusion for the equations of velocity and temperature). The main idea is to obtain higher regularity (of H-3 type) for temperature than for velocity (of H-2 type), using specifically the Neumann boundary condition for temperature. In fact, the case of Dirichlet condition for temperature remains as an open problem.

引用

页码：2153 / 2164

页数：12

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