Lp-convergence rate to diffusion waves for p-system with relaxation

[摘要] In this paper, we consider the asymptotic behavior of solution for the Cauchy problem for p-system with relaxation nu(t) - u(x) = 0, u(t) + p(nu)(x) = 1/epsilon(f (nu) - u), (E) with initial data (nu,u)(x,0)=(nu(0)(x),u(0)(x)) --> (nu(0), u+/-), as x --> +/-infinity. (I) By applying the elementary energy method and the Green function method for the parabolic equation, we obtain the L-P-convergence rate to the diffusion waves for the Cauchy problem (E), (I). (C) 2002 Elsevier Science (USA). All rights reserved.

[发布日期] 2002-12-15

[关键词] asymptotic behavior;relaxation;convergence rate;asymptotic profile