Continuous dependence on the reaction terms in porous convection with surface reactions

Scott, Nicola; Straughan, B.

doi:10.1090/S0033-569X-2013-01289-X

Authors: Nicola L. Scott and B. Straughan
Journal: Quart. Appl. Math. 71 (2013), 501-508
MSC (2010): Primary 35B30, 76S05, 76V05
DOI: https://doi.org/10.1090/S0033-569X-2013-01289-X
Published electronically: May 16, 2013
MathSciNet review: 3112825
Full-text PDF Free Access

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Abstract: We investigate continuous dependence of the solution on the coefficients of the reaction terms for the problem where convection in a saturated porous medium is primarily due to chemical reactions on the boundary. Such boundary reaction terms are not obviously controllable by the usual arguments involving integrals of the functions themselves over the interior domain. Continuous dependence is established for a porous medium of Brinkman type in a general three-dimensional setting.

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