PAICU, Marius; ZHANG, Ping

doi:10.1007/s00220-019-03446-z

Metadatos

Mostrar el registro completo del ítem

Licencia de uso del documento

PAICU, Marius
Institut de Mathématiques de Bordeaux [IMB]

ZHANG, Ping
Académie Chinoise des Sciences

Idioma

Article de revue

Este ítem está publicado en

Communications in Mathematical Physics. 2020

Springer Verlag

Fecha de defensa

2020

Resumen en inglés

In this paper, we investigate the global existence and uniqueness of strong solutions to 2D incompressible inhomogeneous Navier-Stokes equations with viscous coefficient depending on the density and with initial density being discontinuous across some smooth interface. Compared with the previous results for the inhomogeneous Navier-Stokes equations with constant viscosity, the main difficulty here lies in the fact that the L 1 in time Lipschitz estimate of the velocity field can not be obtained by energy method (see [11, 20, 21] for instance). Motivated by the key idea of Chemin to solve 2-D vortex patch of ideal fluid ([6, 7]), namely, striated regularity can help to get the L ∞ boundedness of the double Riesz transform, we derive the a priori L 1 in time Lipschitz estimate of the velocity field under the assumption that the viscous coefficient is close enough to a positive constant in the bounded function space. As an application, we shall prove the propagation of H 3 regularity of the interface between fluids with different densities.< Leer menos

Palabras clave en inglés

Inhomogeneous Navier-Stokes equations

Littlewood-Paley theory

Striated regularity

Metadatos

Compartir este ítem

Licencia de uso del documento

STRIATED REGULARITY OF 2-D INHOMOGENEOUS INCOMPRESSIBLE NAVIER-STOKES SYSTEM WITH VARIABLE VISCOSITY

Idioma

Este ítem está publicado en

Fecha de defensa

Resumen en inglés

Palabras clave en inglés

URI

DOI

Orígen

Centros de investigación