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...

Full description

Saved in:
Bibliographic Details
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
Online AccessGet full text

Cover

More Information
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.
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