Asymptotic Profiles of Solutions for BBM-Burgers Equations

1 Amick, C. J.; Bona, J. L.; Schonbek, M. E. Decay of solutions of some nonlinear wave equations J. Differential Equations 81 1989 1-49 MR1012198

2 Benjamin, T. B.; Bona, J. L.; Mahony, J. J. Model equations for long waves in nonlinear dispersive systems Philos. Trans. Royal Soc. London A 272 1972 47-78 MR0427868

3 Bisognin, V. On the asymptotic behavior of the solutions of a nonlinear dispersive system of Benjamin-Bona-Mahony's type Boll. Un. Mat. Ital. B(7) 10 1996 99-128 MR1385056

4 Bisognin, V.; Perla Menzala, G. Decay rates of the solutions of nonlinear dispersive equations Proc. Roy. Soc. Edinburgh Sect. A 124 1994 1231-1246 MR1313200

5 Bona, J. L.; Luo, L. Decay of solutions to nonlinear, dispersive wave equations Differential and Integral Equations 6 1993 961-980 MR1230473

6 Bona, J. L.; Luo, L. More results on the decay of solutions to nonlinear, dispersive wave equattons Discrete and Continuous Dynamics Systems 1 1995 151-193 MR1355869

7 Dix, D. B. The dissipation of nonlinear dispersive waves: The case of asymptotically weak nonlinearity Comm. Partial Differential Equations 17 1992 1665-1693 MR1187625

8 Jeffrey, A.; Zhao, H. Global existence and optimal temporal decay estimates for system parabolic conservation laws. I. The one-dimensional case Applicable Analysis 70 1998 175-193 MR1671563

9 Karch, G. Large-time behaviour of solutions to nonlinear wave equations: higher-order asymptotics Math. Meth. Appl. Sci. 22 1999 1671-1697 MR1727212

10 Kinami, S.; Mei, M.; Omata, S. Convergence to diffusion waves of the solutions for Ben)armn-Bona-Mahony-Burgers equations Applicable Analysis 75 2000 317-340 MR1801691

11 Mei M. Large-time behavior of solution for generalized Benjamin-Bona-Mahony-Burgers equations Nonlinear Anal. 33 1998 699-714 MR1634950

12 Mei M. $L_q$-decay rates of solutions for Benjamin-Bona-Mahony-Burgers equations J. Differential Equations 158 1999 314-340 MR1721897

13 Namkin, P. I. Large-time asymptotic behavior of a step for Benjamin-Bona-Mahoney-Burgers equation Proc. Roy. Soc. Edinburgh 126A 1996 1-18 MR1378830

14 Namkin, P. I.; Shishmarov, I. A. Nonlinear nonlocal equations in the theory of waves Trans. Math. Monographs, 133 1994 MR1261868

15 Peregrine, D. H. Calculations of the development of an undular bore J. Fluid Mech. 25 1966 321-330

16 Segal, I. E. Quantization and dispersion for nonlinear relativistic equations Mathematical Theory of Elementary Parttcles, M. I. T. Press, Combridge, Mass. 1966 79-108 MR0217453

17 Zhang, L. Decay of solutions of generalized Benjamin-Bona-Mahony-Burgers equations Acta Math. Sinica (New series) 10 1994 428-438 MR1416154

18 Zhang, L. Decay of solutions of generalized Benjamin-Bona-Mahony-Burgers equations in $n$-dimensional space Nonlinear Anal. 25 1995 1343-1369 MR1355727