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Volume 18, Issue 6
Semidiscretization in Space of Nonlinear Degenerate Parabolic Equations with Blow-up of the Solutions

Tetsuya Ishiwata & Masayoshi Tsutsumi

J. Comp. Math., 18 (2000), pp. 571-586.

Published online: 2000-12

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  • 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.

  • Keywords

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

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-571, author = {Tetsuya Ishiwata and Masayoshi Tsutsumi}, title = {Semidiscretization in Space of Nonlinear Degenerate Parabolic Equations with Blow-up of the Solutions}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {6}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9068.html} }
TY - JOUR T1 - Semidiscretization in Space of Nonlinear Degenerate Parabolic Equations with Blow-up of the Solutions AU - Tetsuya Ishiwata & Masayoshi Tsutsumi JO - Journal of Computational Mathematics VL - 6 SP - 571 EP - 586 PY - 2000 DA - 2000/12 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9068.html KW - Semi-discrete problem, Blow-up of solutions, Blow-up rate, Blow-up set, Limiting profile. AB -

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.

Tetsuya Ishiwata and Masayoshi Tsutsumi. (2000). Semidiscretization in Space of Nonlinear Degenerate Parabolic Equations with Blow-up of the Solutions. Journal of Computational Mathematics. 18 (6). 571-586. doi:
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