Mathematics, Vol. 13, Pages 3955: A Nekhoroshev-Type Result for a Generalized Boussinesq Equation

Mathematics doi: 10.3390/math13243955

Authors:
Xinyi Chen
Shunjun Jiang

In this paper, we consider a generalized Boussinesq equation with hinged boundary conditions. We first observe that the nonlinear terms possess a TAME structure and then prove a Nekhoroshev-type result, which implies that any solution with a small initial value remains small in a high-index Sobolev norm over a power long time.

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