Weak Solutions to 2D and 3D Compressible Navier-Stokes Equations in Critical Cases Full article
| Source | Handbook of Mathematical Analysis in Mechanics
of Viscous Fluids Monography, 2018. Scopus Scopus |
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| Output data | Year: 2018, Pages: 1601-1671 Pages count : 71 DOI: 10.1007/978-3-319-13344-7_75 | ||||||
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Abstract:
In this chapter the compressible Navier-Stokes equations with the critical adiabatic exponents are considered. The crucial point in this situation are new estimates of the Radon measure of solutions. These estimates are applied to the boundary value problem for the compressible Navier-Stokes equations with the critical adiabatic exponents. The existence of weak solutions to 2D isothermal problem is proved. The cancelation of concentrations for 3D nonstationary initial-boundary value problem with the critical adiabatic exponent 3/2 is established.
Cite:
Plotnikov P.I.
, Weigant W.
Weak Solutions to 2D and 3D Compressible Navier-Stokes Equations in Critical Cases
Monography chapter Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. 2018. – C.1601-1671. DOI: 10.1007/978-3-319-13344-7_75 Scopus РИНЦ OpenAlex
Weak Solutions to 2D and 3D Compressible Navier-Stokes Equations in Critical Cases
Monography chapter Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. 2018. – C.1601-1671. DOI: 10.1007/978-3-319-13344-7_75 Scopus РИНЦ OpenAlex
Identifiers:
| Scopus: | 2-s2.0-85054376103 |
| Elibrary: | 38613061 |
| OpenAlex: | W4244752856 |