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arXiv · 2412.13828

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness

Timothée Crin-Barat·Nicola De Nitti·Stefan Škondrić·Alessandro Violini
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Abstract

We characterize the Leray--Hopf solutions of the 2D inhomogeneous Navier--Stokes system that become strong for positive times. This characterization relies on the strong energy inequality and the regularity properties of the pressure. As an application, we establish a weak-strong uniqueness result and provide a unified framework for several recent advances in the field.

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Timothée Crin-Barat, Nicola De Nitti, Stefan Škondrić, Alessandro Violini. 2024-12-18. Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness. https://arxiv.org/abs/2412.13828

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