Blow-up for self-interacting fractional Ginzburg-Landau equation

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)175-182
    Number of pages8
    JournalDynamics of Partial Differential Equations
    Volume15
    Issue number3
    DOIs
    Publication statusPublished - 2018 Jan 1

    Fingerprint

    Blow-up of Solutions
    Ginzburg-Landau Equation
    Life Span
    Blow-up
    Cauchy Problem
    Fractional
    Nonlinearity
    Estimate

    Keywords

    • Blow-up
    • Fractional Ginzburg-landau equation

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    Cite this

    Blow-up for self-interacting fractional Ginzburg-Landau equation. / Fujiwara, Kazumasa; Gueorguiev, Vladimir Simeonov; Ozawa, Tohru.

    In: Dynamics of Partial Differential Equations, Vol. 15, No. 3, 01.01.2018, p. 175-182.

    Research output: Contribution to journalArticle

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