Reduction of the basic initial-boundary value problems for the Navier-Stokes equations to initial-boundary value problems for nonlinear parabolic systems of pseudodifferential equations

1991 ◽  
Vol 56 (2) ◽  
pp. 2300-2308 ◽  
Author(s):  
G. Grubb ◽  
V. A. Solonnikov
Keyword(s):  
Boundary Value Problems ◽  
Stokes Equations ◽  
Boundary Value ◽  
Parabolic Systems ◽  
Initial Boundary ◽  
Navier Stokes ◽  
Initial Boundary Value Problems ◽  
Navier Stokes Equations ◽  
Nonlinear Parabolic ◽  
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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