Local solvability of free boundary problem for viscous compressible and incompressible fluids in the spaces $W_p^{2+l,1+l/2}(Q_T)$, $p>2$
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 48, Tome 489 (2020), pp. 96-112
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We prove local in time solvability of the free boundary problem for two phase viscous compressible and incompressible fluids in the spaces $W_p^{2+l,1+l/2}(Q_T)$ with $p>2$, $l\in(1/p,2/p)$.
@article{ZNSL_2020_489_a5,
author = {V. A. Solonnikov},
title = {Local solvability of free boundary problem for viscous compressible and incompressible fluids in the spaces $W_p^{2+l,1+l/2}(Q_T)$, $p>2$},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {96--112},
publisher = {mathdoc},
volume = {489},
year = {2020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_489_a5/}
}
TY - JOUR
AU - V. A. Solonnikov
TI - Local solvability of free boundary problem for viscous compressible and incompressible fluids in the spaces $W_p^{2+l,1+l/2}(Q_T)$, $p>2$
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2020
SP - 96
EP - 112
VL - 489
PB - mathdoc
UR - http://geodesic.mathdoc.fr/item/ZNSL_2020_489_a5/
LA - en
ID - ZNSL_2020_489_a5
ER -
%0 Journal Article
%A V. A. Solonnikov
%T Local solvability of free boundary problem for viscous compressible and incompressible fluids in the spaces $W_p^{2+l,1+l/2}(Q_T)$, $p>2$
%J Zapiski Nauchnykh Seminarov POMI
%D 2020
%P 96-112
%V 489
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2020_489_a5/
%G en
%F ZNSL_2020_489_a5
V. A. Solonnikov. Local solvability of free boundary problem for viscous compressible and incompressible fluids in the spaces $W_p^{2+l,1+l/2}(Q_T)$, $p>2$. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 48, Tome 489 (2020), pp. 96-112. http://geodesic.mathdoc.fr/item/ZNSL_2020_489_a5/