On local-in-time existence for the Dirichlet problem for equations of compressible viscous fluids

• Autorzy: Piotr Boguslaw Mucha , Wojciech Zajączkowski
• Języki publikacji: EN

Abstrakty

EN

The local existence of solutions for the compressible Navier-Stokes equations with the Dirichlet boundary conditions in the $L_p$-framework is proved. Next an almost-global-in-time existence of small solutions is shown. The considerations are made in Lagrangian coordinates. The result is sharp in the $L_p$-approach, because the velocity belongs to $W^{2,1}_r$ with r > 3.

Kategorie tematyczne

• 35Q30: Navier-Stokes equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2002
• Tom: 78
• Numer: 3
• Strony: 227-239

Daty

wydano

2002

Twórcy

autor

Piotr Boguslaw Mucha

• Institute of Applied Mathematics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

autor

Wojciech Zajączkowski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland
• Institute of Mathematics, and Operations Research, Military University of Technology, Kaliskiego 2, 01-489 Warszawa, Poland

Identyfikatory

DOI

10.4064/ap78-3-2