English

On the two-dimensional Boussinesq equations with temperature-dependent thermal and viscosity diffusions in general Sobolev spaces

Analysis of PDEs 2021-12-08 v1

Abstract

We study the existence, uniqueness as well as regularity issues for the two-dimensional incompressible Boussinesq equations with temperature-dependent thermal and viscosity diffusion coefficients in general Sobolev spaces. The optimal regularity exponent ranges are considered.

Keywords

Cite

@article{arxiv.2107.04489,
  title  = {On the two-dimensional Boussinesq equations with temperature-dependent thermal and viscosity diffusions in general Sobolev spaces},
  author = {Zihui He and Xian Liao},
  journal= {arXiv preprint arXiv:2107.04489},
  year   = {2021}
}