論文

査読有り
2017年8月

BLOW-UP OF SOLUTIONS FOR WEAKLY COUPLED SYSTEMS OF COMPLEX GINZBURG-LANDAU EQUATIONS

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
  • Kazumasa Fujiwara
  • ,
  • Masahiro Ikeda
  • ,
  • Yuta Wakasugi

開始ページ
Paper No. 196, 18
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
出版者・発行元
TEXAS STATE UNIV

Blow-up phenomena of weakly coupled systems of several evolution equations, especially complex Ginzburg-Landau equations is shown by a straightforward ODE approach, not by the so-called test-function method used in [38] which gives the natural blow-up rate. The difficulty of the proof is that, unlike the single case, terms which come from the Laplacian cannot be absorbed into the weakly coupled nonlinearities. A similar ODE approach is applied to heat systems by Mochizuki [32] to obtain the lower estimate of lifespan.

リンク情報
arXiv
http://arxiv.org/abs/arXiv:1707.07109
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000407500200001&DestApp=WOS_CPL
URL
http://orcid.org/0000-0002-3796-4570
ID情報
  • ISSN : 1072-6691
  • ORCIDのPut Code : 43413207
  • arXiv ID : arXiv:1707.07109
  • Web of Science ID : WOS:000407500200001

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