English

On The Continuous Periodic Weak Slution of Boussinesq Equations

Analysis of PDEs 2015-12-01 v2

Abstract

The Boussingesq equations was introduced in understanding the coupling nature of the thermodynamics and the fluid dynamics. We show the existence of continuous periodic weak solutions of the Boussinesq equations which satisfies the prescribed kinetic energy or some other prescribed property. Our results represent the conversions between internal energy and mechanical energy.

Keywords

Cite

@article{arxiv.1511.03448,
  title  = {On The Continuous Periodic Weak Slution of Boussinesq Equations},
  author = {Tao Tao and Liqun Zhang},
  journal= {arXiv preprint arXiv:1511.03448},
  year   = {2015}
}

Comments

43 pages. Revised title and introducton