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Convergence Rates to Asymptotic Profile for Solutions of Quasilinear Hyperbolic Equations with Nonlinear Damping

Convergence Rates to Asymptotic Profile for Solutions of Quasilinear Hyperbolic Equations with Nonlinear Damping
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摘要 The quasilinear hyperbolic equation with nonlinear damping is considered in this paper,a new asymptotic profile for the solution to the equation is obtained by suitably choosing the initial data of the corresponding parabolic equation,the convergence rates of the new profile are better than that obtained by Nishihara（1997,J.Differential Equations 137,384-395） and H.-J.Zhao（2000,J.Differential Equations 167,467-494）. The quasilinear hyperbolic equation with nonlinear damping is considered in this paper,a new asymptotic profile for the solution to the equation is obtained by suitably choosing the initial data of the corresponding parabolic equation,the convergence rates of the new profile are better than that obtained by Nishihara（1997,J.Differential Equations 137,384-395） and H.-J.Zhao（2000,J.Differential Equations 167,467-494）.
作者 Shi-feng GENG Zhen WANG
机构地区 School of Mathematics and Computational Science Wuhan Institute of Physics and Mathematics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2016年第1期55-66,共12页 应用数学学报（英文版）
基金 National Natural Science Foundation of China(No.11301443,11171340) Specialized Research Fund for the Doctoral Program of Higher Education(No.20124301120002) Natural Science Foundation of Hunan Provincial(No.2015JJ3125) Scientific Research Fund of Hunan Provincial Education Department(No.13C935)
关键词 asymptotic behavior convergence rates quasilinear hyperbolic equation nonlinear damping asymptotic behavior convergence rates quasilinear hyperbolic equation nonlinear damping
分类号 O175.27 [理学—基础数学] O322 [理学—一般力学与力学基础]
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参考文献14

  • 1Han, Y., Milani, A. On the diffusion phenomenon of quasilinear hyperbolic waves. Chin. Ann. of Math., 21B, i3 70 (2000).
  • 2Hsiao, L., Liu, T.-P. Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping. Comm. Math. Phys., 143:599 605 (1992).
  • 3Hsiao, L., Liu, T.-P. Nonlinear diffusion phenomena of nonlinear hyperbolic system. Chin. Ann. Math. (Ser. B), 14:465 480 (1993).
  • 4Matsumura, A. Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with tile first-order dissipation. Pub1. Res. /nst. Math. Sci., 13:349-379 (1977).
  • 5Marcati, P., Mei, M., Rubino, B. Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping, d. Math. /'luid Mech., 7:224-240 (2005).
  • 6Marcati, P., Pan, R.-H. On the diffusive profiles for the system of compressible adiabatice flow through porous media. Siam d. Math. Anal., 3a: 790-826 (2001).
  • 7Nishida, T. Nonlinear hyperbolic equations and related topics in fluid dynamics. Publ. Math. D'Orsay, Paris, 1978.
  • 8Nishihara, IK. Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conser- vation laws with damping, d. Differential Equations 131:171-188 (1996).
  • 9Nishihara, IK. Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping. d. Diffrential Equations, 137:384 395 (1997).
  • 10Nishihara, K., Wang, W.-K., Yang, T. Lp-convergence rate to nonlinear diffusion waves for p-system with damping. J. DifferentiM Equations, 161:191 218 (1999).
Acta Mathematicae Applicatae Sinica
2016年 第1期

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