Geodesic
Continuous dependence for the Brinkman equations of flow in double-diffusive convection
Electronic journal of differential equations, Tome 2007 (2007)
This paper concerns the structural stability for convective motion in a fluid-saturated porous medium under the Brinkman scheme. Continuous dependence for the solutions on the gravity coefficients and the Soret coefficient are proved. First of all, an a priori bound in $L^2$ norm is derived whereby we show the solution depends continuously in L^2 norm on changes in the gravity coefficients and the Soret coefficient. This estimate also implies that the solutions decay exponentially.
Classification : 35B30, 35K55, 35Q35
Keywords: continuous dependence, structural stability, gravity coefficients, Sorét coefficient, Brinkman equations 
@article{EJDE_2007__2007__a240,
     author = {Tu,  Hongliang and Lin,  Changhao},
     title = {Continuous dependence for the {Brinkman} equations of flow in double-diffusive convection},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1136.35313},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a240/}
}
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Tu,  Hongliang; Lin,  Changhao. Continuous dependence for the Brinkman equations of flow in double-diffusive convection. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a240/