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The structure of solutions near an extinction point in a semilinear heat equation with strong absorption: a formal approach

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Galaktionov, V. A. and Herrero, Miguel A. and Velázquez, J.J. L. (1992) The structure of solutions near an extinction point in a semilinear heat equation with strong absorption: a formal approach. In Nonlinear diffusion equations and their equilibrium states. Progress in Nonlinear Differential Equations and their Applications, 3 (7). Birkhäuser, Boston, pp. 215-236. ISBN 978-1-4612-6741-6

Official URL: http://link.springer.com/chapter/10.1007/978-1-4612-0393-3_16


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Abstract

We consider nonnegative solutions of the semilinear parabolic equation u t —u xx + u p = 0, -∞<x< +∞, t>0, 0<p<l, which vanish at the extinction point x = 0 at a time t = T. By means of formal methods, we derive a family of asymptotic expansions for solutions and interface curves (these last separating the regions where u = 0 and u> 0), as (x,t) approaches (0,T).


Item Type:Book Section
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Proceedings of the conference held in Gregynog, Wales, August 20–29, 1989

Uncontrolled Keywords:Semilinear parabolic equation; extinction point; formal methods; family of asymptotic expansions
Subjects:Sciences > Mathematics > Differential equations
ID Code:22708
Deposited On:05 Sep 2013 15:59
Last Modified:12 Dec 2018 15:08

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