BLOW-UP OF SMOOTH SOLUTIONS TO THE NAVIER–STOKES EQUATIONS OF COMPRESSIBLE VISCOUS HEAT-CONDUCTING FLUIDS
2010 ◽
Vol 88
(2)
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pp. 239-246
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Keyword(s):
Blow Up
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AbstractWe give a simpler and refined proof of some blow-up results of smooth solutions to the Cauchy problem for the Navier–Stokes equations of compressible, viscous and heat-conducting fluids in arbitrary space dimensions. Our main results reveal that smooth solutions with compactly supported initial density will blow up in finite time, and that if the initial density decays at infinity in space, then there is no global solution for which the velocity decays as the reciprocal of the elapsed time.
2013 ◽
Vol 45
(2)
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pp. 431-468
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2006 ◽
Vol 38
(2)
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pp. 368-384
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1997 ◽
Vol 139
(4)
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pp. 303-354
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2007 ◽
Vol 87
(1)
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pp. 57-90
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2013 ◽
Vol 11
(2)
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pp. 541-546
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