Bounds for solutions of isothermal equations of viscous gas dynamics

W. Weigant; P. I. Plotnikov

doi:10.1070/SM8901

Bounds for solutions of isothermal equations of viscous gas dynamics

W. Weigant, P. I. Plotnikov

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the first boundary-value problem for the Navier- Stokes equations of isothermal viscous gas flows. We establish bounds for the flow density in negative Sobolev spaces and Lebesgue spaces.

Original language	English
Pages (from-to)	1113-1137
Number of pages	25
Journal	Sbornik Mathematics
Volume	208
Issue number	8
DOIs	https://doi.org/10.1070/SM8901
Publication status	Published - 1 Jan 2017

Keywords

Navier-Stokes equations
Potentials
Viscous gas

Access to Document

10.1070/SM8901

Link to publication in Scopus

Fingerprint Dive into the research topics of 'Bounds for solutions of isothermal equations of viscous gas dynamics'. Together they form a unique fingerprint.

Cite this

@article{bce60e3e23e844c7b06e0fa32c4150c4,

title = "Bounds for solutions of isothermal equations of viscous gas dynamics",

abstract = "We consider the first boundary-value problem for the Navier- Stokes equations of isothermal viscous gas flows. We establish bounds for the flow density in negative Sobolev spaces and Lebesgue spaces.",

keywords = "Navier-Stokes equations, Potentials, Viscous gas",

author = "W. Weigant and Plotnikov, {P. I.}",

year = "2017",

month = jan,

day = "1",

doi = "10.1070/SM8901",

language = "English",

volume = "208",

pages = "1113--1137",

journal = "Sbornik Mathematics",

issn = "1064-5616",

publisher = "Turpion Ltd.",

number = "8",

}

TY - JOUR

T1 - Bounds for solutions of isothermal equations of viscous gas dynamics

AU - Weigant, W.

AU - Plotnikov, P. I.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We consider the first boundary-value problem for the Navier- Stokes equations of isothermal viscous gas flows. We establish bounds for the flow density in negative Sobolev spaces and Lebesgue spaces.

AB - We consider the first boundary-value problem for the Navier- Stokes equations of isothermal viscous gas flows. We establish bounds for the flow density in negative Sobolev spaces and Lebesgue spaces.

KW - Navier-Stokes equations

KW - Potentials

KW - Viscous gas

UR - http://www.scopus.com/inward/record.url?scp=85049188079&partnerID=8YFLogxK

U2 - 10.1070/SM8901

DO - 10.1070/SM8901

M3 - Article

AN - SCOPUS:85049188079

VL - 208

SP - 1113

EP - 1137

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 8

ER -