THE INHOMOGENEOUS DAM PROBLEM WITH LINEAR DARCY’S LAW AND DIRICHLET BOUNDARY CONDITIONS-Reference-Cited by-同舟云学术

THE INHOMOGENEOUS DAM PROBLEM WITH LINEAR DARCY’S LAW AND DIRICHLET BOUNDARY CONDITIONS

Published:1996-12 Issue:08 Volume:06 Page:1051-1077
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

LYAGHFOURI A.¹

Affiliation:

1. Centre d’Analyse Non Linéaire, Université de Metz, URA-CNRS 399, Ile du Saulcy, 57045 Metz Cedex 01, France

Abstract

In this paper we study a fluid flow through a porous medium with Dirichlet boundary conditions and a general permeability. We establish the continuity of the free boundary and the uniqueness of the S3-connected solution.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202596000432

Cited by 20 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. Lipschitz continuity for elliptic free boundary problems with Dini mean oscillation coefficients;Portugaliae Mathematica;2023-12-04

2. Lipschitz Continuity and Explicit Form of Solution in a Class of Free Boundary Problem with Neumann Boundary Condition;Journal of Partial Differential Equations;2023-06

3. A platform for modular assembly and feeding of micro-organoids on standard Petri dishes;Biology Open;2023-05-15

4. A Note on Lipschitz Continuity of the Solutions of a Class of Elliptic Free Boundary Problems;Zeitschrift für Analysis und ihre Anwendungen;2021-04-16

5. The evolution dam problem for a compressible fluid with nonlinear Darcy's law and Dirichlet boundary condition;Mathematical Methods in the Applied Sciences;2020-07-19