Semidiscretization in space of nonlinear degenerate parabolic equations with blow-up of the solutions

Tetsuya Ishiwata, Masayoshi Tsutsumi

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2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)571-586
Number of pages16
JournalJournal of Computational Mathematics
Volume18
Issue number6
Publication statusPublished - 2000 Nov 1

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Keywords

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

ASJC Scopus subject areas

  • Computational Mathematics

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