Flows through nonhomogeneous porous media in an isolated environment-Reference-Cited by-同舟云学术

Flows through nonhomogeneous porous media in an isolated environment

Published:1997 Issue:2 Volume:55 Page:333-346
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Yin Jingxue,Gao Wenjie

Abstract

The nonhomogeneous gas or fluid flowing through a nonhomogeneous porous medium is studied. An interesting phenomenon is discussed which shows that the state of the flow is not affected by the surrounding environment if some hypotheses are made on the porosity of the gas, the viscosity, and the permeability of the medium. Such a state is called an isolated environment. The conditions under which the state of the gas depends on the surrounding environment are also discussed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1997-55-02/S0033-569X-1997-1447581-0/S0033-569X-1997-1447581-0.pdf

Reference12 articles.

1. N. Ahmed and D. K. Sunada, Nonlinear flows in porous media, J. Hydraulics Div. Proc. Amer. Soc. Civil Eng. 95, 1847–1857 (1969)

2. D. G. Aronson, L. A. Caffarelli, and S. Kamin, How an initially stationary interface begins to move in porous medium flow, Univ. of Minnesota Math. Report 81-113, 1–41 (1981)

3. Regularity of the free boundary of a gas flow in an 𝑛-dimensional porous medium;Caffarelli, Luis A.;Indiana Univ. Math. J.,1980

4. Lipschitz continuity of solutions and interfaces of the 𝑁-dimensional porous medium equation;Caffarelli, L. A.;Indiana Univ. Math. J.,1987

5. On the equation of turbulent filtration in one-dimensional porous media;Esteban, Juan R.;Nonlinear Anal.,1986

Cited by 5 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. On the Budyko–Sellers climate model with mushy region;Journal of Mathematical Analysis and Applications;2016-02

2. On double degenerate quasilinear parabolic variational inequalities;Acta Mathematicae Applicatae Sinica, English Series;2013-10

3. On Doubly Degenerate Quasilinear Parabolic Equations of Higher Order;Acta Mathematica Sinica, English Series;2004-11-26

4. Periodic solutions for double degenerate quasilinear parabolic equations;Nonlinear Analysis: Theory, Methods & Applications;2002-12

5. On the solvability of double degenerate quasilinear parabolic equations;Acta Mathematica Hungarica;2002