UNIQUENESS THEOREMS FOR THE BOUSSINESQ SYSTEM
キーワード:
Boussinesq approximation,
bilinear estimates,
Lorentz spaces,
Navier–Stokes equations,
Besov spaces
2020 年 72 巻 2 号 p. 283-297
詳細
2020 年 72 巻 2 号 p. 283-297
We address the uniqueness problem for mild solutions of the Boussinesq system in $\mathbb{R}^3$. We provide several uniqueness classes on the velocity and the temperature, generalizing in this way the classical $C ([0,T]; L^3(\mathbb{R}^3))$-uniqueness result for mild solutions of the Navier–Stokes equations.
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