Vector green's function method for unsteady Navier-Stokes equations

Meccanica ◽  
1987 ◽  
Vol 22 (2) ◽  
pp. 76-85 ◽  
Author(s):  
Renzo Piva ◽  
Luigi Morino
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Green’S Function Method ◽  
Navier Stokes Equations

scholarly journals GREEN'S FUNCTION AND LARGE TIME BEHAVIOR OF THE NAVIER–STOKES–MAXWELL SYSTEM

2012 ◽  
Vol 10 (02) ◽  
pp. 133-197 ◽  
Author(s):  
RENJUN DUAN
Keyword(s):  
Electromagnetic Field ◽  
Steady State ◽  
Green’S Function ◽  
Green's Function ◽  
Stokes Equations ◽  
Large Time Behavior ◽  
Navier Stokes ◽  
Constant Density ◽  
Time Behavior ◽  
Navier Stokes Equations

In this paper, we are concerned with the system of the compressible Navier–Stokes equations coupled with the Maxwell equations through the Lorentz force in three space dimensions. The asymptotic stability of the steady state with the strictly positive constant density and the vanishing velocity and electromagnetic field is established under small initial perturbations in regular Sobolev space. For that, the dissipative structure of this hyperbolic-parabolic system is studied to include the effect of the electromagnetic field into the viscous fluid and turns out to be more complicated than that in the simpler compressible Navier–Stokes system. Moreover, the detailed analysis of the Green's function to the linearized system is made with applications to derive the rate of the solution converging to the steady state.

THE ATOMISTIC GREEN'S FUNCTION METHOD FOR INTERFACIAL PHONON TRANSPORT

2014 ◽  
Vol 17 (N/A) ◽  
pp. 89-145 ◽  
Author(s):  
Sridhar Sadasivam ◽  
Yuhang Che ◽  
Zhen Huang ◽  
Liang Chen ◽  
Satish Kumar ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Phonon Transport ◽  
Green’S Function Method
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