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Temperature fronts in one-dimensional media

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1987

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Longman Scientific & Technical
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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.

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

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