6 papers · 1 filter
Dissipation concentration in two-dimensional fluids
Luigi De Rosa, Jaemin Park
We study the dissipation measure arising in the inviscid limit of two-dimensional incompressible fluids. It is proved that the dissipation is Lebesgue in time and, for almost every…
Sharp asymptotic stability of the incompressible porous media equation
Roberta Bianchini, Min Jun Jo, Jaemin Park +1
In this paper, we prove the asymptotic stability of the incompressible porous media (IPM) equation near a stable stratified density, for initial perturbations in the Sobolev space…
Long time stability and instability in the two-dimensional Boussinesq system with kinematic viscosity
Jaemin Park
In this paper, we investigate the long-time behavior of the two-dimensional incompressible Boussinesq system with kinematic viscosity in a periodic channel, focusing on instability…
Stability analysis of the incompressible porous media equation and the Stokes transport system via energy structure
Jaemin Park
In this paper, we revisit asymptotic stability for the two-dimensional incompressible porous media equation and the Stokes transport system in a periodic channel. It is well-known…
No anomalous dissipation in two-dimensional incompressible fluids
Luigi De Rosa, Jaemin Park
We prove that any sequence of vanishing viscosity Leray-Hopf solutions to the periodic two-dimensional incompressible Navier-Stokes equations does not display anomalous dissipation…
Growth of curvature and perimeter of temperature patches in the 2D Boussinesq equations
Jaemin Park
In this paper, we construct an example of temperature patch solutions for the two-dimensional, incompressible Boussinesq system with kinematic viscosity such that both the curvatur…