Two-velocity hydrodynamics in fluid mechanics. II. Existence of global \(\kappa\)-entropy solutions to the compressible Navier-Stokes systems with degenerate viscosities (Q496418)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-velocity hydrodynamics in fluid mechanics. II. Existence of global \(\kappa\)-entropy solutions to the compressible Navier-Stokes systems with degenerate viscosities |
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Two-velocity hydrodynamics in fluid mechanics. II. Existence of global \(\kappa\)-entropy solutions to the compressible Navier-Stokes systems with degenerate viscosities (English)
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21 September 2015
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The authors continue their studies on two-velocity hydrodynamics in [J. Math. Pures Appl. (9) 104, No. 4, 762--800 (2015; Zbl 1359.35126)] and construct global in time solutions of the Navier-Stokes system for viscous compressible and barotropic fluids with degenerate viscosities. The cases of singular pressure and turbulent drag term in the compressible Navier-Stokes equations are studied with the use of a new functional resembling entropy.
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compressible fluids
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two-velocity hydrodynamics
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entropy functional
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global weak solutions
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\(\kappa\)-entropy solutions
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