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 - <p style="text-align: justify;">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.</p>