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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Autores principales: Jincheng Shi, Shengzhong Xiao
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Publicado: Hindawi Limited 2021
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Acceso en línea: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
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