activity
20232026
most citedNo anomalous dissipation in two-dimensional incompressible fluids

1 citations · 1 across the 5 of their papers we have counts for

collaborators

7 papers

cs.CV2026

SCOPE: Semantic COdec Pre-Editing for Object-Preserving Compression

Silvia Dani, Leonardo Galteri, Marco Bertini

Image compression is increasingly used before machine vision systems, yet standard codecs are mainly optimized for human perception rather than downstream task accuracy. We propose…

math.AP2025

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

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…

math.AP2024

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…

math.AP2024

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…

math.AP2024★ 1 cited

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.AP2023

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…