Discrete Dynamics in Nature and Society (Jan 2021)

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

  • Jincheng Shi,
  • Shengzhong Xiao

DOI
https://doi.org/10.1155/2021/7211126
Journal volume & issue
Vol. 2021

Abstract

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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.