H\"{o}lder Continuous Periodic Solution of Boussinesq Equation with   Partial Viscosity
  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. 
Tao Tao and Liqun Zhang
math.AP