Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations

Date

2017-08-08

Authors

Fujiwara, Kazumasa
Ikeda, Masahiro
Wakasugi, Yuta

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

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.

Description

Keywords

Weakly coupled, Complex Ginzburg-Landau equation, Blow-up

Citation

Fujiwara, K., Ikeda, M., & Wakasugi, Y. (2017). Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations. <i>Electronic Journal of Differential Equations, 2017</i>(196), pp. 1-16.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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