Global smooth solutions to the nonisothermal compressible fluid models of Korteweg type with large initial data

被引：0
作者：
Zhengzheng Chen
Lin He
Huijiang Zhao
机构：
[1] Anhui University,School of Mathematical Sciences
[2] Wuhan University,School of Mathematics and Statistics
[3] Wuhan University,Computational Science Hubei Key Laboratory
来源：
Zeitschrift für angewandte Mathematik und Physik | 2017年 / 68卷
关键词：
Navier–Stokes–Korteweg system; Density- and/or temperature-dependent viscosity; Capillarity and heat conductivity coefficients; Global solutions; Large initial data; 35Q35; 35L65; 35B40;
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学科分类号：
摘要：
We are concerned with the construction of global smooth large-amplitude solutions to the Cauchy problem of the one-dimensional nonisothermal compressible fluid models of Korteweg type with density- and/or temperature-dependent viscosity, capillarity, and heat conductivity coefficients. Two types of global solvability results are obtained if the viscosity, capillarity, and heat conductivity coefficients satisfy some conditions, and the key point in our analysis is to deduce the positive lower and upper bounds on the density and the temperature.
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