Global Large Solution to Navier-Stokes and SQG Equations with Time Oscillation

Fuente: arXiv
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Auteurs principaux: Xu, Yiran, Li, Haina
Format: Preprint
Publié: 2024
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author Xu, Yiran
Li, Haina
author_facet Xu, Yiran
Li, Haina
contents In this paper, we consider the model of 3D incompressible Navier-Stokes equations and 2D supercritical Surface Quasi-Geostrophic equations with time oscillation in the nonlinear term. We obtain that there exists global smooth solution of these two equations for any initial data $u_0\in H^2$.
format Preprint
id arxiv_https___arxiv_org_abs_2404_08420
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Global Large Solution to Navier-Stokes and SQG Equations with Time Oscillation
Xu, Yiran
Li, Haina
Analysis of PDEs
35A01
In this paper, we consider the model of 3D incompressible Navier-Stokes equations and 2D supercritical Surface Quasi-Geostrophic equations with time oscillation in the nonlinear term. We obtain that there exists global smooth solution of these two equations for any initial data $u_0\in H^2$.
title Global Large Solution to Navier-Stokes and SQG Equations with Time Oscillation
topic Analysis of PDEs
35A01
url https://arxiv.org/abs/2404.08420