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math.AP2026
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…
math.AP2025
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…
math.AP2025
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…