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Weak solutions to 2D and 3D compressible navier-stokes equations in critical cases. / Plotnikov, P. I.; Weigant, W.

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing AG, 2018. p. 1601-1671.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Plotnikov, PI & Weigant, W 2018, Weak solutions to 2D and 3D compressible navier-stokes equations in critical cases. in Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing AG, pp. 1601-1671. https://doi.org/10.1007/978-3-319-13344-7_75

APA

Plotnikov, P. I., & Weigant, W. (2018). Weak solutions to 2D and 3D compressible navier-stokes equations in critical cases. In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids (pp. 1601-1671). Springer International Publishing AG. https://doi.org/10.1007/978-3-319-13344-7_75

Vancouver

Plotnikov PI, Weigant W. Weak solutions to 2D and 3D compressible navier-stokes equations in critical cases. In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing AG. 2018. p. 1601-1671 doi: 10.1007/978-3-319-13344-7_75

Author

Plotnikov, P. I. ; Weigant, W. / Weak solutions to 2D and 3D compressible navier-stokes equations in critical cases. Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing AG, 2018. pp. 1601-1671

BibTeX

@inbook{237f802b63e746f8822412c926738565,
title = "Weak solutions to 2D and 3D compressible navier-stokes equations in critical cases",
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.",
author = "Plotnikov, {P. I.} and W. Weigant",
year = "2018",
month = apr,
day = "19",
doi = "10.1007/978-3-319-13344-7_75",
language = "English",
isbn = "9783319133430",
pages = "1601--1671",
booktitle = "Handbook of Mathematical Analysis in Mechanics of Viscous Fluids",
publisher = "Springer International Publishing AG",
address = "Switzerland",

}

RIS

TY - CHAP

T1 - Weak solutions to 2D and 3D compressible navier-stokes equations in critical cases

AU - Plotnikov, P. I.

AU - Weigant, W.

PY - 2018/4/19

Y1 - 2018/4/19

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85054376103&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-13344-7_75

DO - 10.1007/978-3-319-13344-7_75

M3 - Chapter

AN - SCOPUS:85054376103

SN - 9783319133430

SP - 1601

EP - 1671

BT - Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

PB - Springer International Publishing AG

ER -

ID: 17038530