Best asymptotic profile for the system of compressible adiabatic flow through porous media on quadrant
Shifeng Geng, Zhen Wang · Communications on Pure & Applied Analysis · 2012
We realize the best asymptotic profile for the solutions to the nonisentropic $p$-system with damping on quadrant is a particular solution of the IBVP for the corresponding nonlinear parabolic equation with special initial data, and we further show the convergence rates to this particular asymptotic profile. This rates are same to that for the isentropic case obtained by H. Ma and M. Mei (J. Differential Equations 249 (2010), 446--484).