Infinite-modal approximate solutions of the Bryan-Pidduck equation
Journal Title: Математичні Студії - Year 2018, Vol 49, Issue 1
Abstract
Abstract The nonlinear integro-differential Bryan-Pidduck equation for a model of rough spheres is considered. An approximate solution is constructed in the form of an infinite linear combination of some Maxwellian modes with coefficient functions that depend on time and spatial coordinate. Sufficient conditions for the infinitesimality of the uniformly-integral error between the parts of the Bryan-Pidduck equation are obtained.
Authors and Affiliations
O. O. Hukalov, V. D. Gordevskyy
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