Asymptotic smoothing effect for a weakly damped forced equation of shallow water type. (English) Zbl 1002.35102
The paper deals with the asymptotic properties of the nonlinear weakly damped forced equation of the shallow water type. By using Bourgain’s method the author proves the existence of a global attractor and the asymptotic smoothing effect for the mentioned equation.
Reviewer: Titus Petrila (Cluj-Napoca)
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 37L30 | Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems |
References:
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