混凝破碎方程的带峰解。第二部分:峰值聚合

IF 1.8 1区数学 Q1 MATHEMATICS, APPLIED

Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2021-05-01 DOI:10.1016/j.anihpc.2020.08.007

Marco Bonacini , Barbara Niethammer , Juan J.L. Velázquez

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引用次数: 3

摘要

这两部分的论文的目的是研究一类特殊的解的稳定性性质的凝固破碎方程。我们假设凝聚核接近对角核，破碎核是对角核。在另一篇论文中，我们构造了一个集中于狄拉克质量的双参数稳态解族，并仔细研究了这些解尾部的渐近衰减，表明这种行为是稳定的。在本文中，我们证明了对于足够集中的初始数据，其解在大时间内接近于这些平稳解之一。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Solutions with peaks for a coagulation-fragmentation equation. Part II: Aggregation in peaks

The aim of this two-part paper is to investigate the stability properties of a special class of solutions to a coagulation-fragmentation equation. We assume that the coagulation kernel is close to the diagonal kernel, and that the fragmentation kernel is diagonal. In a companion paper we constructed a two-parameter family of stationary solutions concentrated in Dirac masses, and we carefully studied the asymptotic decay of the tails of these solutions, showing that this behaviour is stable. In this paper we prove that for initial data which are sufficiently concentrated, the corresponding solutions approach one of these stationary solutions for large times.

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来源期刊

Annales De L Institut Henri Poincare-Analyse Non Lineaire 数学-应用数学

CiteScore

4.10

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Nonlinear Analysis section of the Annales de l''Institut Henri Poincaré is an international journal created in 1983 which publishes original and high quality research articles. It concentrates on all domains concerned with nonlinear analysis, specially applicable to PDE, mechanics, physics, economy, without overlooking the numerical aspects.