Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 14, Tome 245 (1997), pp. 247-269
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A. Novotny; P. Penel; V. A. Solonnikov. Investigation of a problem governing a viscous compressible flow past a body in Hölder spaces. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 14, Tome 245 (1997), pp. 247-269. http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a13/
@article{ZNSL_1997_245_a13,
author = {A. Novotny and P. Penel and V. A. Solonnikov},
title = {Investigation of a~problem governing a~viscous compressible flow past a~body in {H\"older} spaces},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {247--269},
year = {1997},
volume = {245},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a13/}
}
TY - JOUR
AU - A. Novotny
AU - P. Penel
AU - V. A. Solonnikov
TI - Investigation of a problem governing a viscous compressible flow past a body in Hölder spaces
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 247
EP - 269
VL - 245
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a13/
LA - ru
ID - ZNSL_1997_245_a13
ER -
%0 Journal Article
%A A. Novotny
%A P. Penel
%A V. A. Solonnikov
%T Investigation of a problem governing a viscous compressible flow past a body in Hölder spaces
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 247-269
%V 245
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a13/
%G ru
%F ZNSL_1997_245_a13
It is shown that the stationary exterior problem for the equations of notion of a viscous compressible liquid uniquely solvable in weighted Hölder spaces, if exterior forces and the value of velocity at infinity are sufficiently small. As a weight function, a power function $(1+|x|)^{-m}$, $m>0$ is taken. The proof, which is carried out by the method of decomposition, relies on the estimates of sindular integers and of solutions of the transport equations in weighted spaces.
