具有线性恢复力和变系数非线性的双色散方程全局解的不存在性

IF 0.3 4区综合性期刊 Q4 MULTIDISCIPLINARY SCIENCES

Comptes Rendus De L Academie Bulgare Des Sciences Pub Date : 2023-10-31 DOI:10.7546/crabs.2023.10.02

Natalia Kolkovska, Milena Dimova, Nikolay Kutev

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引用次数: 0

摘要

研究了具有变系数多项式型非线性的双色散方程的Cauchy问题。得到了亚临界初始能量不存在整体弱解和不爆破解的充分必要条件。对于超临界能量，给出了与初始数据的标量积无关的弱解的有限时间爆破的充分条件。

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Nonexistence of Global Solutions to Double Dispersion Equations with Linear Restoring Force and Nonlinearities with Variable Coefficients

We investigate Cauchy problem to double dispersion equations with polynomial type nonlinearities with variable coefficients. Necessary and sufficient conditions for nonexistence of global weak solutions and nonblowing up ones are found for subcritical initial energy. For supercritical energy a sufficient condition for finite time blow up of the weak solutions, independent of the scalar product of the initial data, is developed.

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来源期刊

Comptes Rendus De L Academie Bulgare Des Sciences 综合性期刊-综合性期刊

CiteScore

0.60

自引率

33.30%

发文量

181

审稿时长

3-6 weeks

期刊介绍： Founded in 1948 by academician Georgy Nadjakov, "Comptes rendus de l’Académie bulgare des Sciences" is also known as "Доклади на БАН","Доклады Болгарской академии наук" and "Proceeding of the Bulgarian Academy of Sciences". If applicable, the name of the journal should be abbreviated as follows: C. R. Acad. Bulg. Sci. (according to ISO)