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

Crin-Barat T, De Nitti N, Skondrić S, Violini A (2026)

Publication Type: Journal article

Publication year: 2026

Journal

Nonlinearity Institute of Physics: Hybrid Open Access

Book Volume: 38

Article Number: 125020

Journal Issue: 12

DOI: 10.1088/1361-6544/ae153d

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.

Authors with CRIS profile

Stefan Skondrić Lehrstuhl für Analysis

Involved external institutions

Université Fédérale de Toulouse Midi-Pyrénées FR France (FR) University of Pisa / Università di Pisa (UniPi) IT Italy (IT) Universität Basel CH Switzerland (CH)

How to cite

APA:

Crin-Barat, T., De Nitti, N., Skondrić, S., & Violini, A. (2026). Regularity aspects of Leray-Hopf solutions to the 2D inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness. Nonlinearity, 38(12). https://doi.org/10.1088/1361-6544/ae153d

MLA:

Crin-Barat, Timothée, et al. "Regularity aspects of Leray-Hopf solutions to the 2D inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness." Nonlinearity 38.12 (2026).

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