EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS FOR A COMPRESSIBLE MULTIPHASE NAVIER–STOKES MISCIBLE FLUID-FLOW PROBLEM IN DIMENSION n = 1
2009 ◽
Vol 19
(03)
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pp. 443-476
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Keyword(s):
We prove the global existence and uniqueness of strong solutions for a compressible multifluid described by the barotropic Navier–Stokes equations in dim = 1. The result holds when the diffusion coefficient depends on the pressure. It relies on a global control in time of the L2 norm of the space derivative of the density, via a new kind of entropy.
2008 ◽
Vol 39
(4)
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pp. 1344-1365
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2019 ◽
Vol 51
(2)
◽
pp. 748-789
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2017 ◽
Vol 263
(10)
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pp. 6512-6536
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1997 ◽
Vol 4
(2)
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pp. 185-200
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2017 ◽
Vol 34
◽
pp. 363-378
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Keyword(s):
2016 ◽
Vol 67
(2)
◽
Keyword(s):