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

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  • Jincheng Shi
  • Shengzhong Xiao
  • Nikos I. Karachalios

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.

Suggested Citation

  • Jincheng Shi & Shengzhong Xiao & Nikos I. Karachalios, 2021. "Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-16, October.
    • Handle: RePEc:hin:jnddns:7211126
    DOI: 10.1155/2021/7211126
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