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

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 l...

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Auteurs principaux:	Jincheng Shi, Shengzhong Xiao
Format:	article
Langue:	EN
Publié:	Hindawi Limited 2021
Sujets:	Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/b350c8cacc7d42a8a6eeacfd9b540a18
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spelling	oai:doaj.org-article:b350c8cacc7d42a8a6eeacfd9b540a182021-11-08T02:36:43ZGlobal Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity1607-887X10.1155/2021/7211126https://doaj.org/article/b350c8cacc7d42a8a6eeacfd9b540a182021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/7211126https://doaj.org/toc/1607-887XWe 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.Jincheng ShiShengzhong XiaoHindawi LimitedarticleMathematicsQA1-939ENDiscrete Dynamics in Nature and Society, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Jincheng Shi Shengzhong Xiao Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity
description	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.
format	article
author	Jincheng Shi Shengzhong Xiao
author_facet	Jincheng Shi Shengzhong Xiao
author_sort	Jincheng Shi
title	Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity
title_short	Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity
title_full	Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity
title_fullStr	Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity
title_full_unstemmed	Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity
title_sort	global existence and blow-up for the classical solutions of the long-short wave equations with viscosity
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/b350c8cacc7d42a8a6eeacfd9b540a18
work_keys_str_mv	AT jinchengshi globalexistenceandblowupfortheclassicalsolutionsofthelongshortwaveequationswithviscosity AT shengzhongxiao globalexistenceandblowupfortheclassicalsolutionsofthelongshortwaveequationswithviscosity
_version_	1718443130548649984

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

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