Search academic texts

Information × Registration Number 0120U105667, ( 0221U000213  ) R & D request Title To obtain a general solution of the problem of constructing an acoustic potential for a semi-infinite cavity with a liquid and a spherical inclusion that is dynamically loaded by a plane wave. Investigate the specified system for the possibility of decoupling by truncation. Head Zhuk Yaroslav О., Доктор фізико-математичних наук Registration Date 23-12-2020 Organization Taras Shevchenko National University of Kyiv popup.description1 Investigations of the specific features of the analytical solution of such problems of hydroelasticity due to the fact that the surface of a cavity with a liquid and a submerged particle geometrically belong to different coordinate systems. This leads to the need to rearrange the solution of the Helmholtz equation from a cylindrical coordinate system (associated with the cavity) to a spherical one (associated with inclusion) and vice versa, which in turn leads to infinite systems of algebraic equations with respect to the desired solution coefficients. Another source of infinite systems appears when considering the system of particles in the cavity due to the need to use also translation theorems for adding special functions. popup.nrat_date 2024-12-10 Close