On Asymptotic Properties of the Boussinesq Equations
Mustafa Sencer Ayd{\i}n, Igor Kukavica, Mohammed Ziane
TL;DR
This paper investigates the long-term behavior of the Boussinesq system, providing rigorous solutions that support prior theoretical bounds on the system's dynamics.
Contribution
It offers a rigorous construction of solutions for the Boussinesq equations, confirming earlier a priori estimates and enhancing understanding of their asymptotic properties.
Findings
Validated long-term behavior of Boussinesq solutions
Confirmed previous a priori bounds
Provided rigorous solution construction
Abstract
We address the long time behavior of the Boussinesq system coupling the Navier-Stokes equations driven by density with the non-diffusive equation for the density. We construct solutions of the system justifying previously obtained a priori bounds.
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Taxonomy
TopicsNavier-Stokes equation solutions · Stochastic processes and financial applications · Advanced Thermodynamics and Statistical Mechanics