EXISTENCE OF SOLUTIONS AND ITERATIVE APPROXIMATIONS FOR NONLINEAR SYSTEMS ARISING IN FREE CONVECTION-Reference-Cited by-同舟云学术

EXISTENCE OF SOLUTIONS AND ITERATIVE APPROXIMATIONS FOR NONLINEAR SYSTEMS ARISING IN FREE CONVECTION

Published:2009-07 Issue:03 Volume:07 Page:225-241
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

BRIGHI BERNARD¹,GUESMIA SENOUSSI²³

Affiliation:

1. Laboratoire de Mathématiques, Informatique et Applications, Université de Haute Alsace 4, rue des Frères Lumière, F-68093 Mulhouse, Frances

2. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland

3. Service de Métrologie Nucléaire, Université Libre de Bruxelles (C.P. 165) 50, Av. F.D. Roosevelt, B-1050 Brussels, Belgium

Abstract

We study the existence and the regularity of the solutions of some nonlinear partial differential system arising in the study of free convection in a two-dimensional bounded domain, modeling a porous medium saturated with a fluid. By introducing an iterative method, the closeness of such solutions by solution of linear elliptic problems is given with an exponential rate of convergence.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530509001360

Reference11 articles.

1. On a family of differential equations for boundary layer approximations in porous media

2. B. Brighi and J.D. Hoernel, Progress in Nonlinear Differential Equations and Their Applications 63 (Birkhäuser Verlag, Switzerland, 2005) pp. 83–92.

4. Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow;International Journal of Differential Equations;2022-01-10

2. On a Nonlinear System of PDE’s Arising in Free Convection;Journal of Elliptic and Parabolic Equations;2015-10