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Hölder Continuous Periodic Solution of Boussinesq Equation with Partial Viscosity

2016/11/24 by Tao Tao, Liqun Zhang, Tao, Tao +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1611.08124

openalex publication_date 2016/11/24 · openalex created_date 2016/12/08 · openalex updated_date 2026/07/28

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.

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