Contributed Session 2:  PDEs and Applications
Asymptotic Stability towards superposition of rarefaction and shock of the 1D Jin-Xin relaxation model for the p-system
Nayeon Kim
KAIST
Korea
  Co-Author(s):    Masaya Kageura, Moon-Jin Kang, Yoshihiro Ueda
  Abstract:
 

The Jin-Xin relaxation model is a semilinear hyperbolic system designed to approximate nonlinear hyperbolic conservation laws.
This talk focuses on the one-dimensional Jin-Xin model for the p-system.
We show that when initial data stay near a superposition of rarefaction and shock, the solution converges to the superposition where the shock is shifted by a time-dependent shift.
This is joint work with Masaya Kageura (Kobe University), Moon-Jin Kang (KAIST), Yoshihiro Ueda (Kobe University).