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H\"{o}lder Continuous Periodic Solution of Boussinesq Equation with Partial Viscosity

Analysis of PDEs 2019-02-27 v2

Abstract

We show the existence of H\"older continuous periodic solution with compact support in time of the Boussinesq equations with partial viscosity. The H\"older regularity of the solution we constructed is anisotropic which is compatible with partial viscosity of the equations.

Keywords

Cite

@article{arxiv.1611.08124,
  title  = {H\"{o}lder Continuous Periodic Solution of Boussinesq Equation with Partial Viscosity},
  author = {Tao Tao and Liqun Zhang},
  journal= {arXiv preprint arXiv:1611.08124},
  year   = {2019}
}

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final version