Semidiscretization in Space of Nonlinear Degenerate Parabolic Equations with Blow-up of the Solutions

Authors

  • Tetsuya Ishiwata & Masayoshi Tsutsumi

Keywords:

Semi-discrete problem, Blow-up of solutions, Blow-up rate, Blow-up set, Limiting profile.

Abstract

Semidiscretization in space of nonlinear degenerate parabolic equations of nondivergent form is presented, under zero Dirichlet boundary condition. It is shown that semidiscrete solutions blow up in finite time. In particular, the asymptotic behavior of blowing-up solutions, is discussed precisely.

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Published

2021-07-01

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Issue

Vol. 18 No. 6 (2000)

Section

Articles

How to Cite

Semidiscretization in Space of Nonlinear Degenerate Parabolic Equations with Blow-up of the Solutions. (2021). Journal of Computational Mathematics, 18(6), 571-586. https://www.global-sci.com/index.php/JCM/article/view/11392