Suppression of chemotactic singularity via viscous flow with large buoyancy

Z Hu - SIAM Journal on Mathematical Analysis, 2024 - SIAM
In this work, we study the Keller–Segel–Navier–Stokes equation with low Reynolds number
and subject to large buoyancy force. We show that, for initial cell density with arbitrarily large …

Fractional regularity, global persistence, and asymptotic properties of the Boussinesq equations on bounded domains

MS Aydın, PC Jayanti - Journal of Evolution Equations, 2025 - Springer
We address the long-time behavior of the 2D Boussinesq system, which consists of the
incompressible Navier–Stokes equations driven by a non-diffusive density. We construct …

The optimal decay rates for solutions to the 3D Boussinesq equations with a velocity dam** term in R3

L Dong - Nonlinear Analysis, 2025 - Elsevier
This paper is concerned with asymptotic stability of certain stationary solution to the 3D
Boussinesq equations in the whole space R 3 with a dam** term in the velocity equation …