On the existence for the Dirichlet problem for the compressible linearized Navier-Stokes system in the $L_p$-framework

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

Abstrakty

EN

The existence of solutions to the Dirichlet problem for the compressible linearized Navier-Stokes system is proved in a class such that the velocity vector belongs to $W^{2,1}_r$ with r > 3. The proof is done in two steps. First the existence for local problems with constant coefficients is proved by applying the Fourier transform. Next by applying the regularizer technique the existence in a bounded domain is shown.

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: 241-260

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

Identyfikatory

DOI

10.4064/ap78-3-3