修正科特韦格-德-弗里斯方程的自相似解在膨胀时间的扰动

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-03-24 DOI:10.1007/s00205-024-01969-x

Simão Correia, Raphaël Côte

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引用次数: 0

摘要

我们证明了线上修正科特维格-德-弗里斯方程自相似炸毁的第一个稳定性结果。更确切地说，给定一个自相似解和一个足够小的规则轮廓，存在一个唯一的全局解，它在（t=0）时的行为是自相似解和平滑扰动之和。

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Perturbation at Blow-Up Time of Self-Similar Solutions for the Modified Korteweg–de Vries Equation

We prove a first stability result of self-similar blow-up for the modified Korteweg–de Vries equation on the line. More precisely, given a self-similar solution and a sufficiently small regular profile, there is a unique global solution which behaves at \(t=0\) as the sum of the self-similar solution and the smooth perturbation.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464