Raphiel Chichinadze and Tengiz Gegelia
abstract:
Boundary value problems of continuum mechanics for the
ball and the entire space with a spherical cavity are considered. Solutions are
constructed in quadratures using their special representations by
harmonic functions. The method enables one to extend easily the results
to an arbitrary $m$-dimensional ball $(m=2,4,5\dots)$.
Mathematics Subject Classification: 73C35.
Key words and phrases: Elasticity, thermoelasticity, boundary value problems, Navier--Stokes equations.