J 2019

Energy equalities for compressible Navier-Stokes equations

NGUYEN, Quoc-Hung, Phuoc Tai NGUYEN and Bao Quoc TANG

Basic information

Original name

Energy equalities for compressible Navier-Stokes equations

Authors

NGUYEN, Quoc-Hung, Phuoc Tai NGUYEN (704 Viet Nam, guarantor, belonging to the institution) and Bao Quoc TANG

Edition

NONLINEARITY, BRISTOL, IOP PUBLISHING LTD, 2019, 0951-7715

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 1.505

RIV identification code

RIV/00216224:14310/19:00108224

Organization unit

Faculty of Science

DOI

UT WoS

000488068600004

Keywords in English

compressible Navier-Stokes equations; inhomogeneous incompressible Navier-Stokes equations; energy equalities; Onsager's conjecture

Tags

Tags

International impact
Změněno: 10/4/2020 15:08, doc. Phuoc Tai Nguyen, PhD

Abstract

V originále

The energy equalities of compressible Navier-Stokes equations with general pressure law and degenerate viscosities are studied. By using a unified approach, we give sufficient conditions on the regularity of weak solutions for these equalities to hold. The method of proof is suitable for the case of periodic as well as homogeneous Dirichlet boundary conditions. In particular, by a careful analysis using the homogeneous Dirichlet boundary condition, no boundary layer assumptions are required when dealing with bounded domains with a boundary.

Links

GJ19-14413Y, research and development project
Name: Lineární a nelineární eliptické rovnice se singulárními daty a související problémy
Investor: Czech Science Foundation