Continuous dependence for the Brinkman equations of flow in double-diffusive convection

Electronic Journal of Differential Equations

卷:2007

关键词: Continuous dependence;    structural stability;    gravity coefficients;    Soret coefficient;    Brinkman equations;   

DOI  :  

来源: DOAJ

【 摘 要 】

This paperconcerns thestructuralstability forconvective motion in a fluid-saturated porous mediumunder the Brinkman scheme. Continuous dependence for thesolutions on the gravity coefficients and the Soret coefficientare proved. First of all,an a priori bound in$L^2$ norm is derived whereby we show the solution dependscontinuously in $L^2$ norm on changes in the gravity coefficientsand the Soret coefficient. This estimate also implies that the solutionsdecay exponentially.

【 授权许可】

Unknown