The Leray problem for 2D inhomogeneous fluids

• Autorzy: Farid Ammar-Khodja , Marcelo M. Santos
• Języki publikacji: EN

Abstrakty

EN

We formulate the Leray problem for inhomogeneous fluids in two dimensions and outline the proof of the existence of a solution. There are two kinds of results depending on whether the given value for the density is a continuous function or only an $L^∞$ function. In the former case, the given densities are attained in the sense of uniform convergence and in the latter with respect to weak-* convergence.

Kategorie tematyczne

• 76D05: Navier-Stokes equations
• 35Q30: Navier-Stokes equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 70
• Numer: 1
• Strony: 51-59

Daty

wydano

2005

Twórcy

autor

Farid Ammar-Khodja

• Département de Mathématiques & UMR 6623, Université de Franche-Comté, 16, route de Gray, 25030 Besançon Cedex, France

autor

Marcelo M. Santos

• Departamento de Matemática, IMECC-UNICAMP, Cx. Postal 6065, 13.081-970 Campinas, SP, Brazil

Identyfikatory

DOI

10.4064/bc70-0-3