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

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

Year:    2000

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 6 : pp. 571–586

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JCM-9068

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 6 : pp. 571–586

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

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