Analysis of the Brinkman-Forchheimer equations with slip boundary conditions
In this work, we study the Brinkman-Forchheimer equations driven under slip boundary conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization combined with the Faedo-Galerkin approach. Next, we discuss the continuity of the solution with respect...
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Published in | Applicable analysis Vol. 93; no. 7; pp. 1477 - 1494 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Abingdon
Taylor & Francis
03.07.2014
Taylor & Francis Ltd |
Subjects | |
Online Access | Get full text |
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Summary: | In this work, we study the Brinkman-Forchheimer equations driven under slip boundary conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization combined with the Faedo-Galerkin approach. Next, we discuss the continuity of the solution with respect to Brinkman's and Forchheimer's coefficients. Finally, we show that the weak solution of the corresponding stationary problem is stable. |
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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 0003-6811 1563-504X |
DOI: | 10.1080/00036811.2013.836183 |