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 inApplicable analysis Vol. 93; no. 7; pp. 1477 - 1494
Main Authors Djoko, J.K., Razafimandimby, P.A.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.07.2014
Taylor & Francis Ltd
Subjects
Analysis
Boundary conditions
Brinkman-Forchheimer equations
Continuity
continuous dependence
Friction
Mathematical analysis
Regularization
Slip
slip boundary conditions
stability
Uniqueness
weak solutions
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Abstract 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.
AbstractList 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.
Author Razafimandimby, P.A.
Djoko, J.K.
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crossref_primary_10_1093_imanum_draa035
crossref_primary_10_1016_j_cma_2022_114895
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Snippet 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...
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StartPage 1477
SubjectTerms Analysis
Boundary conditions
Brinkman-Forchheimer equations
Continuity
continuous dependence
Friction
Mathematical analysis
Regularization
Slip
slip boundary conditions
stability
Uniqueness
weak solutions
Title Analysis of the Brinkman-Forchheimer equations with slip boundary conditions
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