English

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

Analysis of PDEs 2024-04-15 v1

Abstract

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 u0H2u_0\in H^2.

Keywords

Cite

@article{arxiv.2404.08420,
  title  = {Global Large Solution to Navier-Stokes and SQG Equations with Time Oscillation},
  author = {Yiran Xu and Haina Li},
  journal= {arXiv preprint arXiv:2404.08420},
  year   = {2024}
}