Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Asymptotic behaviour and propagation properties of the one-dimensional flow of gas in a porous medium

Author: Juan Luis Vázquez
Journal: Trans. Amer. Math. Soc. 277 (1983), 507-527
MSC: Primary 35B40; Secondary 35K55, 76S05
MathSciNet review: 694373
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The one-dimensional porous media equation $ {u_t} = {({u^m})_{xx}}$, $ m > 1$, is considered for $ x \in R$, $ t > 0$ with initial conditions $ u(x,0) = {u_0}(x)$ integrable, nonnegative and with compact support. We study the behaviour of the solutions as $ t \to \infty $ proving that the expressions for the density, pressure, local velocity and interfaces converge to those of a model solution. In particular the first term in the asymptotic development of the free-boundary is obtained.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 35B40, 35K55, 76S05

Retrieve articles in all journals with MSC: 35B40, 35K55, 76S05

Additional Information

PII: S 0002-9947(1983)0694373-7
Keywords: Flows in porous media, asymptotic behaviour, free boundaries, shiftingcomparison
Article copyright: © Copyright 1983 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia