NAME

郑斯宁

Paper Publications

Asymptotic analysis for a localized nonlinear diffusion equation
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  • Indexed by:

    期刊论文

  • First Author:

    Wang, Jinhuan

  • Correspondence Author:

    Zheng, SN (reprint author), Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China.

  • Co-author:

    Kong, Linghua,Zheng, Sining

  • Date of Publication:

    2008-11-01

  • Journal:

    COMPUTERS & MATHEMATICS WITH APPLICATIONS

  • Included Journals:

    SCIE、EI、Scopus

  • Document Type:

    J

  • Volume:

    56

  • Issue:

    9

  • Page Number:

    2294-2304

  • ISSN No.:

    0898-1221

  • Key Words:

    Nonlinear diffusion; Localized source; Blow-up rate; Blow-up profile; Blow-up set; Total blow-up; Single point blow-up

  • Abstract:

    In this paper we study a localized nonlinear diffusion equation u(t) = Delta u(m) + lambda(1)u(p) + lambda(2)u(q)(0, t) subject to null Dirichlet boundary condition with p, q >= 0, max{p, q) > m > 1, and lambda(1), lambda(2) > 0. We investigate interactions among the localized and local sources, nonlinear diffusion with the zero boundary value condition to establish blow-up rates and uniform blow-up profiles of solutions under different dominations. In addition, as results of the interactions of multiple nonlinearities, the blow-up sets of solutions, namely, total versus single point blow-up of solutions are also determined. (C) 2008 Elsevier Ltd. All rights reserved.

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