Large-Time Behaviour of Solutions to the Surface Quasi-Geostrophic Equations

2021/05/18 by Dáithí Ó hAodha, Tsukasa Iwabuchi, hAodha, Dáithí Ó +1
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #math.AP

paper · pdf · doi:10.48550/arxiv.2105.08289

openalex publication_date 2021/05/18 · openalex created_date 2021/05/24 · arxiv created 2021/11/15 · arxiv updated 2021/11/16 · openalex updated_date 2026/07/28

Abstract

We construct a linear approximation of the solution to the Surface Quasi-Geostrophic Equation in ℝ², and obtain a convergence rate in L^p between the solution and this approximation with respect to time. We also demonstrate that the nonlinear term of the solution is bounded sharply in L^p by the same function of time.

Citations

• Some theorems on stable processes

Related

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