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Article

Anada, Koichi ; Ishiwata, Tetsuya ; Ushijima, Takeo
Numerical study on the blow-up rate to a quasilinear parabolic equation. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 325-330
MSC: 35B44, 35K59, 65M99
Keywords:
Blow-up rate, type II blow-up, numerical estimate, scale invariance, rescaling algorithm, curvature flow
Summary:
In this paper, we consider the blow-up solutions for a quasilinear parabolic partial differential equation $u_t = u^2(u_{xx}+u)$. We numerically investigate the blow-up rates of these solutions by using a numerical method which is recently proposed by the authors [3].
References:
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