Time-periodic solutions of the compressible Navier–Stokes equations in R4

Chunhua Jin

doi:10.1007/s00033-015-0605-z

Time-periodic solutions of the compressible Navier–Stokes equations in R⁴

Chunhua Jin^*

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

3 Citations (Scopus)

Abstract

This paper deals with the existence of time-periodic solutions to the compressible Navier–Stokes equations effected by general form external force in R⁴ with N=4. Using a fixed point method, we establish the existence and uniqueness of time-periodic solutions. This paper extends Ma, UKai, Yang’s result [5], in which, the existence is obtained when the space dimension N≥5.

Original language	English
Article number	5
Pages (from-to)	1-21
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	67
Issue number	1
DOIs	https://doi.org/10.1007/s00033-015-0605-z
Publication status	Published - 1 Feb 2016

Research Keywords

Compressible Navier–Stokes equations
Existence
Time-periodic solution
Uniqueness

Access Output

10.1007/s00033-015-0605-z

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{0f6f76b1b4c7454c94cb8f66f72bbca2,

title = "Time-periodic solutions of the compressible Navier–Stokes equations in R4",

abstract = "This paper deals with the existence of time-periodic solutions to the compressible Navier–Stokes equations effected by general form external force in R4 with N=4. Using a fixed point method, we establish the existence and uniqueness of time-periodic solutions. This paper extends Ma, UKai, Yang{\textquoteright}s result [5], in which, the existence is obtained when the space dimension N≥5.",

keywords = "Compressible Navier–Stokes equations, Existence, Time-periodic solution, Uniqueness",

author = "Chunhua Jin",

year = "2016",

month = feb,

day = "1",

doi = "10.1007/s00033-015-0605-z",

language = "English",

volume = "67",

pages = "1--21",

journal = "Zeitschrift fur Angewandte Mathematik und Physik",

issn = "0044-2275",

publisher = "Birkhauser Verlag Basel",

number = "1",

}

TY - JOUR

T1 - Time-periodic solutions of the compressible Navier–Stokes equations in R4

AU - Jin, Chunhua

PY - 2016/2/1

Y1 - 2016/2/1

N2 - This paper deals with the existence of time-periodic solutions to the compressible Navier–Stokes equations effected by general form external force in R4 with N=4. Using a fixed point method, we establish the existence and uniqueness of time-periodic solutions. This paper extends Ma, UKai, Yang’s result [5], in which, the existence is obtained when the space dimension N≥5.

AB - This paper deals with the existence of time-periodic solutions to the compressible Navier–Stokes equations effected by general form external force in R4 with N=4. Using a fixed point method, we establish the existence and uniqueness of time-periodic solutions. This paper extends Ma, UKai, Yang’s result [5], in which, the existence is obtained when the space dimension N≥5.

KW - Compressible Navier–Stokes equations

KW - Existence

KW - Time-periodic solution

KW - Uniqueness

UR - http://www.scopus.com/inward/record.url?scp=84961358481&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84961358481&origin=recordpage

U2 - 10.1007/s00033-015-0605-z

DO - 10.1007/s00033-015-0605-z

M3 - RGC 21 - Publication in refereed journal

SN - 0044-2275

VL - 67

SP - 1

EP - 21

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 1

M1 - 5

ER -