Nonlinear Heat Conduction with Absorption: Space Localization and Extinction in Finite Time

Nonlinear Heat Conduction with Absorption: Space Localization and Extinction in Finite Time
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具有吸收的非线性热传导:有限时间内的空间局域化和消光

DOI:
10.1137/0143085
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发表时间:
1983
影响因子:
1.9
通讯作者:
R. Kersner
R. Kersner
中科院分区:
数学4区
文献类型:
--
作者:
R. Kersner

文献摘要

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非线性热传导方程中的附加低阶项可以导致解的本质上新的行为。这些陈述回答了以下问题:解决方案的支持何时受到空间限制以及解决方案何时在有限时间内“消亡”。
Additional lower order terms in the nonlinear heat conduction equation can lead to essentially new behavior of the solutions. The statements answer the questions: when the support of the solution is bounded in space and when the solution “dies” in finite time.