Open AccessAsymptotic behavior of solutions to an evolution equation for bidirectional surface waves in a convecting fluid
Author(s) -
H. Mahmoudi,
Amin Esfahani
Publication year - 2020
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v72i10.6032
Subject(s) - uniqueness , initial value problem , mathematical analysis , polynomial , surface (topology) , mathematics , cauchy problem , physics , geometry
UDC 517.9We 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 . We obtain some polynomial decay estimates of the energy.