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Title: Complete blow-up for a degenerate semilinear parabolic problem with a localized nonlinear term
Authors: Wannika Sawangtong (Jumpen)
Keywords: Blow-up in finite time;Blow-up set;Complete blowup;Localized nonlinear terms;Semilinear parabolic problems
Issue Date: 2010
Publisher: International Conference on Theoretical and Applied Mechanics 2010, International Conference on Fluid Mechanics and Heat and Mass Transfer 2010; Corfu Island; Greece; 22 July 2010 through 24 July 2010; Code 85014
Citation: คณิตศาสตร์
Series/Report no.: ;94-99
Abstract: We here establish the local existence and uniqueness of a continuous solution under certain conditions of a degenerate semilinear parabolic problem with a localized nonlinear term: let T be any positive real number and x 0 be a fixed number in the interval (0,1), ut - 1/k(x)(p(x)ux)x = f(u(x0,t)) for (x,t) ε (0,1) × (0,T), u(0,t) = 0 = u(1,t) for t ε (0,T), u(x,0) = u 0(x) for x ε [0,1], where k, p, f and u0 are given functions. Moreover, the sufficient condition to blow-up in finite time and the blow-up set of a such solution u are shown.
Description: Scopus
ISSN: 17924359
Appears in Collections:Mathematics: International Proceedings

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