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arXiv · 1603.08210

Asymptotic Behavior of Solutions for the Cauchy Problem of a Dissipative Boussinesq-Type Equation

Amin Esfahani·Hamideh B. Mohammadi
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Abstract

We consider the Cauchy problem for an evolution equation modeling bidirectional surface waves in a convecting fluid. Under small condition on the initial value, the existence and asymptotic behavior of global solutions in some time weighted spaces are established by the contraction mapping principle.

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Amin Esfahani, Hamideh B. Mohammadi. 2016-03-27. Asymptotic Behavior of Solutions for the Cauchy Problem of a Dissipative Boussinesq-Type Equation. https://arxiv.org/abs/1603.08210

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