The approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators

Abdulkasim Akhmedov, Mohd Zuki Salleh, Abdumalik Rakhimov
2021 Journal of Advanced Research in Fluid Mechanics and Thermal Sciences  
In this research, we investigate the spectral expansions connected with elliptic differential operators in the space of singular distributions, which describes the vibration process made of thin elastic membrane stretched tightly over a circular frame. The sufficient conditions for summability of the spectral expansions connected with wave problems on the disk are obtained by taking into account that the deflection of the membrane during the motion remains small compared to the size of the
more » ... ane and for wave propagation problems, the disk is made of some thermally conductive material.
doi:10.37934/arfmts.86.2.101106 fatcat:fkmcha6n3ree5hufeta4zi6zge