Numerical study on the blow-up rate to a quasilinear parabolic equation
Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo
- Proceedings of Equadiff 14, Publisher: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing(Bratislava), page 325-330
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topAnada, Koichi, Ishiwata, Tetsuya, and Ushijima, Takeo. "Numerical study on the blow-up rate to a quasilinear parabolic equation." Proceedings of Equadiff 14. Bratislava: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, 2017. 325-330. <http://eudml.org/doc/294905>.
@inProceedings{Anada2017,
abstract = {In this paper, we consider the blow-up solutions for a quasilinear parabolic partial differential equation $u_t = u^2(u_\{xx\}+u)$. We numerically investigate the blow-up rates of these solutions by using a numerical method which is recently proposed by the authors [3].},
author = {Anada, Koichi, Ishiwata, Tetsuya, Ushijima, Takeo},
booktitle = {Proceedings of Equadiff 14},
keywords = {Blow-up rate, type II blow-up, numerical estimate, scale invariance, rescaling algorithm, curvature flow},
location = {Bratislava},
pages = {325-330},
publisher = {Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing},
title = {Numerical study on the blow-up rate to a quasilinear parabolic equation},
url = {http://eudml.org/doc/294905},
year = {2017},
}
TY - CLSWK
AU - Anada, Koichi
AU - Ishiwata, Tetsuya
AU - Ushijima, Takeo
TI - Numerical study on the blow-up rate to a quasilinear parabolic equation
T2 - Proceedings of Equadiff 14
PY - 2017
CY - Bratislava
PB - Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing
SP - 325
EP - 330
AB - In this paper, we consider the blow-up solutions for a quasilinear parabolic partial differential equation $u_t = u^2(u_{xx}+u)$. We numerically investigate the blow-up rates of these solutions by using a numerical method which is recently proposed by the authors [3].
KW - Blow-up rate, type II blow-up, numerical estimate, scale invariance, rescaling algorithm, curvature flow
UR - http://eudml.org/doc/294905
ER -
References
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