Electron. J. Diff. Equ., Vol. 2012 (2012), No. 186, pp. 1-6.

Existence of smooth global solutions for a 1-D modified Navier-Stokes-Fourier model

Jianzhu Sun, Jishan Fan, Gen Nakamura

Abstract:
We prove the existence of strong global solutions of the 1-D modified compressible Navier-Stokes-Fourier equations proposed by Howard Brenner [1,2].

Submitted June 18, 2012. Published October 28, 2012.
Math Subject Classifications: 35Q30, 76D03, 76D05.
Key Words: Mass velocity; volume velocity; Navier-Stokes-Fourier equations.

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Jianzhu Sun
Department of Applied Mathematics
Nanjing Forestry University
Nanjing 210037, China
email: jzsun@njfu.com.cn
Jishan Fan
Department of Applied Mathematics
Nanjing Forestry University
Nanjing 210037, China
email: fanjishan@njfu.com.cn
Gen Nakamura
Department of Mathematics
Hokkaido University
Sapporo, 060-0810, Japan
email: gnaka@math.sci.hokudai.ac.jp

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