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Finite energy weak solution of 2d Boussinesq equation with diffusive temperature

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arxiv 1901.09179 v1 pith:7BIA2UZD submitted 2019-01-26 math.AP

Tianwen Luo , Tao Tao , Liqun Zhang This is my paper · ORCID
classification math.AP
keywords energyboussinesqdiffusivefinitekineticsolutiontemperatureequation
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We show the existence of finite kinetic energy solution with prescribed kinetic energy to the 2d Boussinesq equations with diffusive temperature on torus.

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  1. Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations

    math.AP 2019-08 accept novelty 6.0 of 10

    Every 2D hypoviscous Navier-Stokes system with fractional Laplacian exponent theta below 1 admits nonunique C^0_t L^2_x weak solutions, including solutions with compact temporal support.

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