Regularity of attractors for the Benjamin-Bona-Mahony equation

Journal of Physics A: Mathematical and General

Volumn 31, Issue 37, 1998, Pages 7635-7645

  Wang, Bixiang ^a,b  

^a TSINGHUA UNIVERSITY   (China)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032544453     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/37/021     Document Type: Article

References (18)

1. Bona J L and Dougalis V A 1980 An initial- and boundary-value problem for a model equation for propagation of long waves J. Math. Anal. Appl. 75 503-22
2. Bona J L and Smith R 1975 The initial-value problem for the Korteweg-de Vries equation Phil. Trans. R. Soc., London 278 555-604
3. Showalter R E 1978 Sobolev equations for nonlinear dispersive systems Appl. Anal. 7 297-308
4. Amick C J, Bona J L and Schonbek M E 1989 Decay of solutions of some nonlinear wave equations J. Diff. Equations 81 1-49
5. Benjamin T B, Bona J L and Mahony J J 1972 Model equations for long waves in nonlinear dispersive systems Phil. Trans. R. Soc., London 272 47-78
6. Bona J L and Bryant P B 1973 A mathematical model for long waves generated by wavemakers in nonlinear dispersive systems Proc. Cambridge Phil. Soc. 73 391-405
7. Medeiros L A, Milla M and Miranda M M 1977 Weak solutions for a nonlinear dispersive equation J. Math. Anal. Appl. 59 432-41
8. Medeiros L A and Perla Menzala G 1977 Existence and uniqueness for periodic solutions of the Benjamin-Bona-Mahony equation SIAM J. Math. Anal. 8 792-9
9. Albert J 1989 On the decay of solutions of the generalized Benjamin-Bona-Mahony equation J Math. Anal. Appl. 141 527-537
10. Biler P 1992 Long time behaviour of solutions of the generalized Benjamin-Bona-Mahony equation in two-space dimensions Diff. Int. Equations 5 891-901
11. Wang B and Yang W 1997 Finite dimensional behaviour for the Benjamin-Bona-Mahony equation J. Phys. A: Math. Gen. 30 4877-85
12. Wang B 1997 Strong attractors for the Benjamin-Bona-Mahony equation Appl. Math. Lett. 10 23-8
13. Wang B 1997 Attractors and approximate inertial manifolds for the generalized Benjamin-Bona-Mahony equation Math. Methods Appl. Sci. 20 189-203
14. Temam R 1988 Infinite Dimensional Dynamical Systems in Mechanics and Physios (New York: Springer)
15. Goubet O 1996 Regularity of the attractor for the weakly damped nonlinear Schrödinger equation Appl. Anal. 60 99-119
16. Moise I and Rosa R 1997 On the regularity of the global attractor of a weakly damped forced Korteweg-De-Vrie equation Adv. Diff. Equations 2 257-96
17. Goubet O and Moise I 1998 Attractors for dissipative Zakharov system Nonl. Anal. TMA 31 823-47
18. Ball J M, A proof of the existence of global attractors for damped semilinear wave equations, to appear