Self-similar asymptotics for solutions to the intermediate long-wave equation

被引：12

作者：

Bernal-Vilchis, Fernando ^{[1
]}

Naumkin, Pavel I. ^{[1
]}

机构：

[1] UNAM, Ctr Ciencias Matemat, Campus Morelia,AP 61-3 Xangari, Morelia 58089, Michoacan, Mexico

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2019年 / 19卷 / 03期

关键词：

Intermediate long-wave equation; Large time asymptotics; Critical nonlinearity; Self-similar solutions; TIME BEHAVIOR; CONSTRUCTION; STABILITY; EXISTENCE; SOLITONS; MODELS; FLUIDS;

D O I：

10.1007/s00028-019-00498-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem for the intermediate long-wave equation u(t) - partial derivative(x) u(2) + 1/vu(x) + V P integral(R) 1/2v coth(pi (y - x)/2v u(yy) (t, y) dy = 0, where v > 0. Our purpose in this paper is to prove the large time asymptotic behavior of solutions under the nonzero mass condition integral u(0) (x) dx not equal 0.

引用

页码：729 / 770

页数：42

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