Abstract
This paper is concerned with the asymptotic behavior of solutions to the initial-boundary value problem for the p-system with linear damping. We show that the solutions to this system globally exist and converge time-asymptotically to nonlinear diffusion wave whose profile is self-similar solution to the corresponding parabolic equation governed by the classical Darcy's law. Compared with the results obtained by Nishihara and Yang [15], the better convergence rates are obtained. The proof is based on time-weighted energy estimates together with Green's function method.
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