Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity-Reference-Cited by-同舟云学术

Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity

Published:2021-10-27 Issue: Volume:2021 Page:1-16
ISSN:1607-887X
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Shi Jincheng¹^ORCID,Xiao Shengzhong²

Affiliation:

1. Department of Applied Mathematics, Guangzhou Huashang College, Guangzhou 510000, China

2. Department of Mathematics, Guangdong AIB University, Guangzhou 510527, China

Abstract

We are concerned with the global existence of classical solutions for a general model of viscosity long-short wave equations. Under suitable initial conditions, the existence of the global classical solutions for the viscosity long-short wave equations is proved. If it does not exist globally, the life span which is the largest time where the solutions exist is also obtained.

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2021/7211126.pdf

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