Concentrations Problem for Solutions to Compressible Navier–Stokes Equations

Concentrations Problem for Solutions to Compressible Navier–Stokes Equations Full article

Journal

Doklady Mathematics
ISSN: 1064-5624

Output data

Year: 2020, Volume: 102, Number: 3, Pages: 493-496 Pages count : 4 DOI: 10.1134/s1064562420060149

Tags

concentration phenomenon; Navier–Stokes equations; viscous gas

Authors

Plotnikov P.I. ¹

Affiliations

1	Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russi

A three-dimensional initial-boundary value problem for the isentropic equations of the dynamics of a viscous gas is considered. The concentration phenomenon is that, for adiabatic exponent values 3/2, the finite energy can be concentrated on arbitrarily small sets. It is proved that, in the critical case γ = 3/2, the norm of the density of kinetic energy in the logarithmic Orlicz space is bounded by a constant that depends only on the initial and boundary data. This eliminates the possibility of the concentration phenomenon.

Plotnikov P.I.
Concentrations Problem for Solutions to Compressible Navier–Stokes Equations
Doklady Mathematics. 2020. V.102. N3. P.493-496. DOI: 10.1134/s1064562420060149 WOS Scopus РИНЦ OpenAlex

Плотников П.И.
ПРОБЛЕМА КОНЦЕНТРАЦИЙ РЕШЕНИЙ УРАВНЕНИЙ ДИНАМИКИ ВЯЗКОГО ГАЗА
ДОКЛАДЫ РОССИЙСКОЙ АКАДЕМИИ НАУК. МАТЕМАТИКА, ИНФОРМАТИКА, ПРОЦЕССЫ УПРАВЛЕНИЯ. 2020. Т.495. №1. С.55-58. DOI: 10.31857/S2686954320060120 РИНЦ OpenAlex

Web of science:	WOS:000627403800012
Scopus:	2-s2.0-85102502693
Elibrary:	6781302
OpenAlex:	W3134505924

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