Long time behavior for solution of initial-boundary value problem of one class of systems with multidimensional inhomogeneous GBBM equations. (English) Zbl 1144.76303
Appl. Math. Mech., Engl. Ed. 26, No. 6, 716-721 (2005); translation from Appl. Math. Mech. 26, No. 6, 659-664 (2005).
Summary: The following initial-boundary value problem for the systems with multidimensional inhomogeneous generalized Benjamin-Bona-Mahony (GBBM) equations is reviewed. The existence of global attractors of this problem was proved by means of a uniform priori estimate for time.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35B41 | Attractors |
| 37L30 | Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems |
References:
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| [2] | Guo Boling. The global solutions of some problems for a system of equations of Schrodinger-Klein Gordon field[J].Scientia Sinica, Ser A, 1982,25(3):898–901. |
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