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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2021
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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) |
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Mathematics QA1-939 |
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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 |