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

Piotr Boguslaw Mucha, and Wojciech Zajączkowski. "On the existence for the Dirichlet problem for the compressible linearized Navier-Stokes system in the $L_p$-framework." Annales Polonici Mathematici 78.3 (2002): 241-260. <http://eudml.org/doc/280787>.

@article{PiotrBoguslawMucha2002,
abstract = {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.},
author = {Piotr Boguslaw Mucha, Wojciech Zajączkowski},
journal = {Annales Polonici Mathematici},
keywords = {compressible Navier-Stokes system; Dirichlet problem; existence},
language = {eng},
number = {3},
pages = {241-260},
title = {On the existence for the Dirichlet problem for the compressible linearized Navier-Stokes system in the $L_p$-framework},
url = {http://eudml.org/doc/280787},
volume = {78},
year = {2002},
}

TY - JOUR
AU - Piotr Boguslaw Mucha
AU - Wojciech Zajączkowski
TI - On the existence for the Dirichlet problem for the compressible linearized Navier-Stokes system in the $L_p$-framework
JO - Annales Polonici Mathematici
PY - 2002
VL - 78
IS - 3
SP - 241
EP - 260
AB - 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.
LA - eng
KW - compressible Navier-Stokes system; Dirichlet problem; existence
UR - http://eudml.org/doc/280787
ER -