Sponsored by
 
Events
News
 
[ Events ]
 
 

Activity Search
Sort out
Field
 
Year
Seminars  
 
NCTS Seminar on PDE and Analysis
 
11:10 - 12:10, January 16, 2017 (Monday)
Room 440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Relaxation of Internal Energy and Volume Viscosity
Vincent Giovangigli (Centre de Mathématiques Appliquées )

Abstract

We investigate the fast relaxation of translational and internal temperatures in nonequilibrium gas models derived from the kinetic theory. We study the Chapman-Enskog expansion in the fast relaxation limit and establish that the difference between the translational and equilibrium temperatures becomes asymptotically proportional to the divergence of the velocity field which yields the volume viscosity term of the limiting one-temperature equilibrium fluid model. We establish existence theorems and prove local in time error estimates between the out of equilibrium solution and the one-temperature equilibrium fluid solution for well prepared initial data and justify  the apparition of the volume viscosity terms. Numerical simulations are finally presented of the impact of volume viscosity during a shock/hydrogen bubble interaction.



 

back to list  
 (C) 2018 National Center for Theoretical Sciences