Long Time Existence and Asymptotic Behavior of Solutions for the 2D Quasi-geostrophic Equation with Large Dispersive Forcing

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Abstract

We consider the initial value problem of the 2D dispersive quasi-geostrophic equation. We prove the long time existence of the solution for given initial data θ∈ Hs(R2) with s> 2. Moreover, we show that the solution converges to the corresponding linear dispersive solution e-AtR1θ0 when the size of dispersion parameter goes to infinity.

Original languageEnglish
Article number12
JournalJournal of Mathematical Fluid Mechanics
Volume23
Issue number1
DOIs
Publication statusPublished - Feb 2021

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics

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