scholarly journals Global existence of large solutions to initial boundary value problems for a viscous, heat-conducting, one-dimensional real gas

1985 ◽  
Vol 58 (1) ◽  
pp. 76-103 ◽  
Author(s):  
Bernhard Kawohl
Keyword(s):  
Global Existence ◽  
Boundary Value Problems ◽  
Initial Boundary ◽  
Heat Conducting ◽  
Initial Boundary Value Problems ◽  
Real Gas ◽  
One Dimensional ◽  
Large Solutions ◽  
Viscous Heat ◽  
Initial Boundary Value

Initial–boundary-value problems for one-dimensional compressible Navier–Stokes equations with degenerate transport coefficients

2017 ◽  
Vol 147 (5) ◽  
pp. 935-969 ◽  
Author(s):  
Qing Chen ◽  
Huijiang Zhao ◽  
Qingyang Zou
Keyword(s):  
Boundary Value Problems ◽  
Stokes Equations ◽  
Boundary Value ◽  
Transport Coefficients ◽  
Initial Boundary ◽  
Navier Stokes ◽  
Initial Boundary Value Problems ◽  
Navier Stokes Equations ◽  
One Dimensional ◽  
Initial Boundary Value

This paper is concerned with the construction of global, non-vacuum, strong, large amplitude solutions to initial–boundary-value problems for the one-dimensional compressible Navier–Stokes equations with degenerate transport coefficients. Our analysis derives the positive lower and upper bounds on the specific volume and the absolute temperature.

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