Exact Solutions of a Nonlinear Equation Describing Blow-Up Instability in Self-Oscillatory Systems

被引：0

作者：

Aristov, A. I. ^{[1
,2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia

[2] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2023年 / 63卷 / 11期

基金：

俄罗斯科学基金会;

关键词：

nonlinear partial differential equations; blow-up of solutions; exact solutions;

D O I：

10.1134/S0965542523110027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonclassical fourth-order partial differential equation describing blow-up instability in self-oscillatory systems is studied. Several classes of exact solutions of this equation are constructed. It is shown that these solutions include ones growing to infinity in a finite time, ones bounded globally in time, and ones bounded on any finite time interval, but not globally.

引用

页码：2081 / 2089

页数：9

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