Concepedia

Attractors for the Generalized Benjamin–Bona–Mahony Equation

A. Okay Çelebi, Varga Κ. Kalantarov, Mustafa Polat

Journal of Differential Equations · 1999 · 63 citations · 11 references

Open access

Abstract

We consider the periodic initial-boundary value problem for a multidimensional generalized Benjamin–Bona–Mahony equation. We show the existence of the global attractor with a finite fractal dimension and the existence of the exponential attractor for the corresponding semigroup.

References

11

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Nonlinear Wave Propagation, Nonlinear Hyperbolic Problem, Nonlinear Equation

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Topological Semigroups, Geometric Partial Differential Equation, Hyperbolic Type References +11

On the decay of solutions of the generalized Benjamin-Bona-Mahony equation

John Albert · Journal of Mathematical Analysis and Applications · 1989 · 102 citations

Monge-ampere Equation, Elliptic Equation, Oscillation Theory +3

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Jerry L. Bona, Vassilios A. Dougalis · Journal of Mathematical Analysis and Applications · 1980 · 97 citations

Numerical Analysis, Long Waves, Boundary-value Problem +8