Asymptotic behavior of solutions to an evolution equation for bidirectional surface waves in a convecting fluid
Abstract
UDC 517.9
We consider the Cauchy problem for an evolution equation modeling bidirectional surface waves in a convecting fluid. We study the existence, uniqueness, and asymptotic properties of global solutions to the initial value problem associated withthis equation in $R^n$. We obtain some polynomial decay estimates of the energy.
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