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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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/7211126 |
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| _version_ | 1832547801049858048 |
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| author | Jincheng Shi Shengzhong Xiao |
| author_facet | Jincheng Shi Shengzhong Xiao |
| author_sort | Jincheng Shi |
| collection | DOAJ |
| 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 |
| id | doaj-art-b350c8cacc7d42a8a6eeacfd9b540a18 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b350c8cacc7d42a8a6eeacfd9b540a182025-02-03T06:43:31ZengWileyDiscrete Dynamics in Nature and Society1607-887X2021-01-01202110.1155/2021/7211126Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with ViscosityJincheng Shi0Shengzhong Xiao1Department of Applied MathematicsDepartment of MathematicsWe 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.http://dx.doi.org/10.1155/2021/7211126 |
| spellingShingle | Jincheng Shi Shengzhong Xiao Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity Discrete Dynamics in Nature and Society |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/7211126 |
| work_keys_str_mv | AT jinchengshi globalexistenceandblowupfortheclassicalsolutionsofthelongshortwaveequationswithviscosity AT shengzhongxiao globalexistenceandblowupfortheclassicalsolutionsofthelongshortwaveequationswithviscosity |