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Blow-up for self-interacting fractional Ginzburg–Landau equation
Dynamics of Partial Differential Equations ( IF 1.1 ) Pub Date : 2018-01-01 , DOI: 10.4310/dpde.2018.v15.n3.a1 Kazumasa Fujiwara 1 , Vladimir Georgiev 2 , Tohru Ozawa 3
Dynamics of Partial Differential Equations ( IF 1.1 ) Pub Date : 2018-01-01 , DOI: 10.4310/dpde.2018.v15.n3.a1 Kazumasa Fujiwara 1 , Vladimir Georgiev 2 , Tohru Ozawa 3
Affiliation
The blow-up of solutions for the Cauchy problem of fractional Ginzburg-Landau equation with non-positive nonlinearity is shown by an ODE argument. Moreover, in one dimensional case, the optimal lifespan estimate for size of initial data is obtained.
中文翻译:
自相互作用分数阶 Ginzburg-Landau 方程的爆破
具有非正非线性的分数阶 Ginzburg-Landau 方程的 Cauchy 问题的解的爆炸由 ODE 参数显示。此外,在一维情况下,获得初始数据大小的最佳寿命估计。
更新日期:2018-01-01
中文翻译:
自相互作用分数阶 Ginzburg-Landau 方程的爆破
具有非正非线性的分数阶 Ginzburg-Landau 方程的 Cauchy 问题的解的爆炸由 ODE 参数显示。此外,在一维情况下,获得初始数据大小的最佳寿命估计。