A class of self-similar solutions to a singular and degenerate diffusion equation

Chunpeng Wang; Tong Yang; Jingxue Yin

doi:10.1016/j.na.2004.09.051

Author(s)

Chunpeng Wang
Tong Yang
Jingxue Yin

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	775-796
Journal / Publication	Nonlinear Analysis, Theory, Methods and Applications
Volume	60
Issue number	4
Publication status	Published - Feb 2005

Link(s)

DOI	DOI https://doi.org/10.1016/j.na.2004.09.051 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-10644274284&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(62a3fb60-b0d5-4133-ae27-811f208fa577).html

Abstract

In this paper we study self-similar solutions to the singular and degenerate diffusion equation u_t = (|(p(u))_x| ^λ-2(p(u))_x)_x, -∞ <x <+ ∞, t > 0, where 1 <λ <2. The existence and uniqueness for the solutions are established. In addition, the asymptotic behavior is investigated. © 2004 Elsevier Ltd. All rights reserved.

Research Area(s)

Existence, Singular and degenerate diffusion equation, Uniqueness and asymptotic behavior

Citation Format(s)

[ RIS ] [ BibTeX ]

A class of self-similar solutions to a singular and degenerate diffusion equation. / Wang, Chunpeng; Yang, Tong; Yin, Jingxue.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 60, No. 4, 02.2005, p. 775-796.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Wang, C, Yang, T & Yin, J 2005, 'A class of self-similar solutions to a singular and degenerate diffusion equation', Nonlinear Analysis, Theory, Methods and Applications, vol. 60, no. 4, pp. 775-796. https://doi.org/10.1016/j.na.2004.09.051

Wang, C., Yang, T., & Yin, J. (2005). A class of self-similar solutions to a singular and degenerate diffusion equation. Nonlinear Analysis, Theory, Methods and Applications, 60(4), 775-796. https://doi.org/10.1016/j.na.2004.09.051

Wang C, Yang T, Yin J. A class of self-similar solutions to a singular and degenerate diffusion equation. Nonlinear Analysis, Theory, Methods and Applications. 2005 Feb;60(4):775-796. doi: 10.1016/j.na.2004.09.051

Wang, Chunpeng ; Yang, Tong ; Yin, Jingxue. / A class of self-similar solutions to a singular and degenerate diffusion equation. In: Nonlinear Analysis, Theory, Methods and Applications. 2005 ; Vol. 60, No. 4. pp. 775-796.