Classical solution to 1D viscous polytropic perfect fluids with constant diffusion coefficients and vacuum

被引：4

作者：

Liang, Zhilei ^{[1
]}

Wu, Shanqiu ^{[2
]}

机构：

[1] Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu 611130, Peoples R China

[2] Sichuan Agr Univ, Inst Econ, Chengdu 611130, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2017年 / 68卷 / 01期

关键词：

Classical solutions; Full compressible Navier-Stokes; Constant diffusion coefficients; NAVIER-STOKES EQUATIONS; SPHERICALLY SYMMETRIC-SOLUTIONS; BOUNDARY-VALUE-PROBLEMS; GLOBAL WEAK SOLUTIONS; CAUCHY-PROBLEM; BLOWUP CRITERION; EXISTENCE; MOTION;

D O I：

10.1007/s00033-017-0767-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the initial boundary value problem for one-dimensional (1D) viscous, compressible and heat conducting fluids. We establish the global existence and uniqueness of classical solutions, with large data and possible vacuum at initial time. Our approach is based on the Calderon-Zygmund decomposition technique and allows that the viscosity and heat conductivity are both constant.

引用

页数：20

共 50 条

[41] Global strong solution to the Cauchy problem of 1D compressible MHD equations with large initial data and vacuum
Ye, Yulin
Li, Zilai
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (01):
[42] Multi-component gas mixture diffusion through porous media: A 1D analytical solution
Pisani, Lorenzo
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2008, 51 (3-4) : 650 - 660
[43] Global classical large solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum
Ding, Shijin
Wen, Huanyao
Zhu, Changjiang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (06) : 1696 - 1725
[44] RIGOROUS DERIVATION OF A 1D MODEL FROM THE 3D NON-STEADY NAVIER-STOKES EQUATIONS FOR COMPRESSIBLE NONLINEARLY VISCOUS FLUIDS
Andrasik, Richard
Vodak, Rostislav
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[45] 3D dynamic coupled thermoelastic solution for constant thickness disks using refined 1D finite element models
Entezari, Ayoob
Filippi, Matteo
Carrera, Erasmo
Kouchakzadeh, Mohammad Ali
APPLIED MATHEMATICAL MODELLING, 2018, 60 : 273 - 285
[46] Global strong solution to the Cauchy problem of 1D viscous two-fluid model without any domination condition
Gao, Xiaona
Guo, Zhenhua
Li, Zilai
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2022, 19 (01) : 51 - 70
[47] Global classical solution of the Cauchy problem to 1D compressible Navier-Stokes equations with large initial data
Jiu, Quansen
Li, Mingjie
Ye, Yulin
JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 257 (02) : 311 - 350
[48] COMPARISON OF VARIOUS COUPLING METHODS FOR 1D DIFFUSION EQUATIONS WITH A ANALYTICAL SOLUTION OF TWO PHASE STEFAN PROBLEM
Sunkisala, Anusha
Simon, Konrad
Behrens, Joern
VIII INTERNATIONAL CONFERENCE ON COMPUTATIONAL METHODS FOR COUPLED PROBLEMS IN SCIENCE AND ENGINEERING (COUPLED PROBLEMS 2019), 2019, : 709 - 718
[49] Numerical Solution of the 1D Advection-Diffusion Equation Using Standard and Nonstandard Finite Difference Schemes
Appadu, A. R.
JOURNAL OF APPLIED MATHEMATICS, 2013,
[50] Rate coefficients from quantum and quasi-classical cumulative reaction probabilities for the S(1D) + H2 reaction
Jambrina, P. G.
Lara, Manuel
Menendez, M.
Launay, J. -M.
Aoiz, F. J.
JOURNAL OF CHEMICAL PHYSICS, 2012, 137 (16):

← 1 2 3 4 5 →