2017年8月
BLOW-UP OF SOLUTIONS FOR WEAKLY COUPLED SYSTEMS OF COMPLEX GINZBURG-LANDAU EQUATIONS
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
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- 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
- ID情報
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- ISSN : 1072-6691
- ORCIDのPut Code : 43413207
- arXiv ID : arXiv:1707.07109
- Web of Science ID : WOS:000407500200001