Dynamics of Singularity Surfaces for Compressible Navier-Stokes Flows in Two Space Dimensions
Journées équations aux dérivées partielles (2001), article no. 7, 9 p.
We prove the global existence of solutions of the Navier-Stokes equations of compressible, barotropic flow in two space dimensions with piecewise smooth initial data. These solutions remain piecewise smooth for all time, retaining simple jump discontinuities in the density and in the divergence of the velocity across a smooth curve, which is convected with the flow. The strengths of these discontinuities are shown to decay exponentially in time, more rapidly for larger acoustic speeds and smaller viscosities.
@incollection{JEDP_2001____A7_0,
author = {Hoff, David},
title = {Dynamics of {Singularity} {Surfaces} for {Compressible} {Navier-Stokes} {Flows} in {Two} {Space} {Dimensions}},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {7},
pages = {1--9},
year = {2001},
publisher = {Universit\'e de Nantes},
doi = {10.5802/jedp.591},
mrnumber = {1843408},
zbl = {1005.35075},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/jedp.591/}
}
TY - JOUR AU - Hoff, David TI - Dynamics of Singularity Surfaces for Compressible Navier-Stokes Flows in Two Space Dimensions JO - Journées équations aux dérivées partielles PY - 2001 SP - 1 EP - 9 PB - Université de Nantes UR - http://geodesic.mathdoc.fr/articles/10.5802/jedp.591/ DO - 10.5802/jedp.591 LA - en ID - JEDP_2001____A7_0 ER -
%0 Journal Article %A Hoff, David %T Dynamics of Singularity Surfaces for Compressible Navier-Stokes Flows in Two Space Dimensions %J Journées équations aux dérivées partielles %] 7 %D 2001 %P 1-9 %I Université de Nantes %U http://geodesic.mathdoc.fr/articles/10.5802/jedp.591/ %R 10.5802/jedp.591 %G en %F JEDP_2001____A7_0
Hoff, David. Dynamics of Singularity Surfaces for Compressible Navier-Stokes Flows in Two Space Dimensions. Journées équations aux dérivées partielles (2001), article no. 7, 9 p.. doi: 10.5802/jedp.591
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