Hölder Continuous Periodic Solution of Boussinesq Equation with Partial Viscosity

Abstract

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

final version

References in corpus (3)

• h-Principles for the incompressible Euler equations
• The thermal dust emission in the N158-N159-N160 (LMC) star forming complex mapped by Spitzer, Herschel and LABOCA
• Hölder Continuous Solutions Of Boussinesq Equation with compact support