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Self-similar singular solution of doubly singular parabolic equation with gradient absorption term

Abstract

We deal with the self-similar singular solution of doubly singular parabolic equation with a gradient absorption term for, and in. By shooting and phase plane methods, we prove that when there exists self-similar singular solution, while there is no any self-similar singular solution. In case of existence, the self-similar singular solution is the self-similar very singular solutions which have compact support. Moreover, the interface relation is obtained.

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Correspondence to Peihu Shi.

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Shi, P., Wang, M. Self-similar singular solution of doubly singular parabolic equation with gradient absorption term. J Inequal Appl 2006, 20438 (2006). https://doi.org/10.1155/JIA/2006/20438

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Keywords

  • Gradient Absorption
  • Parabolic Equation
  • Compact Support
  • Phase Plane
  • Plane Method
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