We consider the Cauchy problem for an evolution equation used to model bidirectional surface waves in convecting fluids. We study the existence, uniqueness, and asymptotic properties of global solutions to the initial-value problem associated with this equation in ℝn. We also obtain some polynomial decay estimates for the energy.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 10, pp. 1386–1399, October, 2020. Ukrainian DOI: 10.37863/umzh.v72i10.6032.
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Mahmoudi, H., Esfahani, A. Asymptotic Behavior of Solutions to an Evolution Equation for Bidirectional Surface Waves in Convecting Fluids. Ukr Math J 72, 1595–1612 (2021). https://doi.org/10.1007/s11253-021-01874-6
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DOI: https://doi.org/10.1007/s11253-021-01874-6