Continuous dependence for the Brinkman equations of flow in double-diffusive convection
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Date
2007-06-16
Authors
Tu, Hongliang
Lin, Changhao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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 L2 norm is derived whereby we show the solution depends continuously in L2 norm on changes in the gravity coefficients and the Soret coefficient. This estimate also implies that the solutions decay exponentially.
Description
Keywords
Continuous dependence, Structural stability, Gravity coefficients, Soret coefficient, Brinkman equations
Citation
Tu, H., & Lin, C. (2007). Continuous dependence for the Brinkman equations of flow in double-diffusive convection. <i>Electronic Journal of Differential Equations, 2007</i>(92), pp. 1-9.
Rights
Attribution 4.0 International