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Temperature fronts in one-dimensional media

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Herrero, Miguel A. (1987) Temperature fronts in one-dimensional media. In Nonlinear parabolic equations: qualitative properties of solutions. Pitman Research Notes in Mathematics Series (149). Longman Scientific & Technical, Harlow, pp. 121-128. ISBN 0-582-99459-4




Abstract

The paper surveys some recent results for the one-dimensional nonlinear heat equation with absorption subject to continuous nonnegative initial data with compact support. Without absorption, the equation becomes the porous media equation. (Generalized) solutions with interfaces, source- type solutions and the behavior of the fronts are also discussed.


Item Type:Book Section
Additional Information:

Proceedings of the conference held at the Second Rome University, Rome, April 1–5, 1985

Uncontrolled Keywords:Cauchy problem; nonlinear heat equation; absorption; continuous nonnegative initial data; compact support; porous media equation; interfaces; source-type solutions; behavior of the fronts
Subjects:Sciences > Mathematics > Differential equations
ID Code:22732
Deposited On:05 Sep 2013 16:05
Last Modified:12 Dec 2018 15:08

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