文献详情
Global strong solutions to 1-D vacuum free boundary problem for compressible Navier Stokes equations with variable viscosity and thermal conductivity
文献类型：期刊
通讯作者：Ou, YB (reprint author), Renmin Univ China, Sch Math, Beijing 100872, Peoples R China.
期刊名称：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS影响因子和分区
年：2019
卷：474
期：2
页码：1153-1177
ISSN：0022-247X
关键词：Full Navier-Stokes equations; Variable viscosity and thermal conductivity; Free boundary; Global strong solution
摘要：In this paper, we investigate the vacuum free boundary problem of one-dimensional heat-conducting compressible Navier-Stokes equations where the viscosity coefficient depends on the density, and the heat conductivity coefficient depends on the temperature, satisfying a physical assumption from the Chapman-Enskog expansion of the Boltzmann equation. The fluid connects to the vacuum continuously, thus the system is degenerate near the free boundary. The global existence and uniqueness of strong so ...More
In this paper, we investigate the vacuum free boundary problem of one-dimensional heat-conducting compressible Navier-Stokes equations where the viscosity coefficient depends on the density, and the heat conductivity coefficient depends on the temperature, satisfying a physical assumption from the Chapman-Enskog expansion of the Boltzmann equation. The fluid connects to the vacuum continuously, thus the system is degenerate near the free boundary. The global existence and uniqueness of strong solutions for the free boundary problem are established when the initial data are large. The result is proved by using both the Lagrangian mass coordinate and the Lagrangian trajectory coordinate. An key observation is that the Jacobian between these coordinates are bounded from above and below by positive constants. (C) 2019 Elsevier Inc. All rights reserved. ...Hide

DOI：10.1016/j.jmaa.2019.02.009
百度学术：Global strong solutions to 1-D vacuum free boundary problem for compressible Navier Stokes equations with variable viscosity and thermal conductivity
语言：外文
人气指数：2
浏览次数：2
基金：National Natural Science Foundation of ChinaNational Natural Science Foundation of China [11601128, 11671319]; Doctor Fund of Henan Polytechnic University [B2016-57]; Key Research project of university in Henan Province [16A110015]; NSFCNational Natural Science Foundation of China [11471334]; Fundamental Research Funds for the Central UniversitiesFundamental Research Funds for the Central Universities; Research Funds of Renmin University of China [18XNLG30]; China Scholarship CouncilChina Scholarship Council [201806365010]
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Incompressible limit of non-isentropic compressible magnetohydrodynamic equations with zero magnetic diffusivity in bounded domains.Ou, Yaobin, Yang, Lu,.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. 2019, 49, 1-23.
Strong solutions to an Oldroyd-B model with slip boundary conditions via incompressible limit.Ren, Dandan;Ou, Yaobin.MATHEMATICAL METHODS IN THE APPLIED SCIENCES.2015,38(2),330-348.
Low Mach number limit of full Navier-Stokes equations in a 3D bounded domain.Dou, Changsheng;Jiang, Song;Ou, Yaobin.JOURNAL OF DIFFERENTIAL EQUATIONS.2015,258(2),379-398.
Incompressible limit of global strong solutions to 3-D barotropic Navier-Stokes equations with well-prepared initial data and Navier's slip boundary conditions.Ou, Yaobin;Ren, Dandan.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.2014,420(2),1316-1336.
Uniform existence of the 1-D full equations for a thermo-radiative electromagnetic fluid.Fan, Jishan;Ou, Yaobin.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS.2014,106,151-158.