Uniqueness theorems for the Boussinesq system
Lorenzo Brandolese, Jiao He
Abstract
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.
Topics & Concepts
UniquenessMathematicsUniqueness theorem for Poisson's equationMathematical analysisApplied mathematicsPure mathematicsNavier-Stokes equation solutionsAdvanced Mathematical Physics ProblemsStability and Controllability of Differential Equations