Self-Similar Solutions of the Compressible Flow in One-Space Dimension
Keyword(s):
Gas Flow
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For the isentropic compressible fluids in one-space dimension, we prove that the Navier-Stokes equations with density-dependent viscosity have neither forward nor backward self-similar strong solutions with finite kinetic energy. Moreover, we obtain the same result for the nonisentropic compressible gas flow, that is, for the fluid dynamics of the Navier-Stokes equations coupled with a transport equation of entropy. These results generalize those in Guo and Jiang's work (2006) where the one-dimensional compressible fluids with constant viscosity are considered.
2006 ◽
Vol 71
(5)
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pp. 658-669
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1999 ◽
Vol 387
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pp. 227-254
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2018 ◽
Vol 50
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pp. 541-556
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2016 ◽
Vol 18
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pp. 1095-1119
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1976 ◽
Vol 29
(3)
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pp. 325-341
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1992 ◽
Vol 238
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pp. 487-507
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2009 ◽
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pp. 503-515
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1996 ◽
Vol 21
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pp. 179-193
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2020 ◽
Vol 71
(5)
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