Huashui Zhan, "The Self-Similar Solutions of a Diffusion Equation," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Huashui Zhan. The Self-Similar Solutions of a Diffusion Equation.
WSEAS Transactions on Mathematics. 2012;11:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
The Self-Similar Solutions of a Diffusion Equation
Author:
Abstract: This paper discusses the diffusion equation with a damping term as follows <br> $$ut = div (|Du^{m}|^{p−2}Du^{m})-u^{q1}|Du^{m}|p^{1}$$, <br> where p > 2, m > 1, and p > p1, q1 +p1m > m(p−1) > 1. By the standard Picard iteration method, a sufficient condition is given to the existence of the singular self-similar solutions. Moreover, the paper gives a classification for these singular self-similar solutions.
Keywords:
Diffusion equation, Damping term, Picard iteration method, Self-similar solution, Singular solution
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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