Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity

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Bibliographische Detailangaben
Zeitschriftentitel:	Journal of Applied Mathematics
Personen und Körperschaften:	Lian, Ruxu, Huang, Lan, Liu, Jian
In:	Journal of Applied Mathematics, 2012, 2012, S. 1-22
Medientyp:	E-Article
Sprache:	Englisch
veröffentlicht:	Hindawi Limited
Schlagwörter:	Applied Mathematics

Details
Zusammenfassung:	<jats:p>We consider the exterior problem and the initial boundary value problem for the spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity coefficient in this paper. For regular initial density, we show that there exists a unique global strong solution to the exterior problem or the initial boundary value problem, respectively. In particular, the strong solution tends to the equilibrium state as<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>t</mml:mi><mml:mo>→</mml:mo><mml:mo>+</mml:mo><mml:mi>∞</mml:mi></mml:math>.</jats:p>
Umfang:	1-22
ISSN:	1110-757X 1687-0042
DOI:	10.1155/2012/395209