期刊论文

Zhu, CJ

英文

SCIENCE IN CHINA SERIES A-MATHEMATICS

1006-9283

2006

49

6

721-739

10.1007/s11425-006-0721-5

This work was supported by the Program for New Century Excellent Talents in University (Grant No. NCET-04-0745), the Key Project of the National Natural Science Foundation of China (Grant No. 10431060) and the Key Project of Chinese Ministry of Education (Grant No. 104128), respectively.

本校为第一且通讯机构

In this paper, we study the Lp (2 [less-than or equal to] p [less-than or equal to] + infinity ) convergence rates of the solutions to the Cauchy problem of the so-called p-system with nonlinear damping. Precisely, we show that the corresponding Cauchy problem admits a unique global solution (v(x, t), u(x, t)) and such a solution tends time-asymptotically to the corresponding nonlinear diffusion wave (v over-bar (x, t), u over-bar (x, t)) governed by the classical Darcy's law provided that the corresponding prescribed initial error function (W0(X), Z0(X)) lies in (H3 ×H2) ( [double-struc...

In this paper, we study the Lp （2≤p≤ +∞） convergence rates of the solutions to the Cauchy problem of the so-called p-system with nonlinear damping. Precisely, we show that the corresponding Cauchy problem admits a unique global solution （v （x,t）, u（x, t）） and such a solution tends time-asymptotically to the corresponding nonlinear diffusion wave （（v|-）（x,t）,（u|-）（x,t）） governed by the classical Darcy’s law provided that the corresponding prescribed initial error function lies in and is sufficiently small. Furthermore, the ...