Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916530724274176 |
|---|---|
| author | Crin-Barat, Timothée De Nitti, Nicola Škondrić, Stefan Violini, Alessandro |
| author_facet | Crin-Barat, Timothée De Nitti, Nicola Škondrić, Stefan Violini, Alessandro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13828 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Crin-Barat, Timothée De Nitti, Nicola Škondrić, Stefan Violini, Alessandro Analysis of PDEs 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. |
| title | Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.13828 |