On the asymptotics of the spectrum of a thin plate problem of elasticity.
Korn's inequality for an arbitrary system of distorted thin rods.
Interaction of concentrated masses in a harmonically oscillating spatial body with Neumann boundary conditions
Asymptotics of solutions to Stokes and Navier-Stokes equations in domains with paraboloidal outlets to infinity
Scalar boundary value problems on junctions of thin rods and plates
We derive asymptotic formulas for the solutions of the mixed boundary value problem for the Poisson equation on the union of a thin cylindrical plate and several thin cylindrical rods. One of the ends of each rod is set into a hole in the plate and the other one is supplied with the Dirichlet condition. The Neumann conditions are imposed on the whole remaining part of the boundary. Elements of the junction are assumed to have contrasting properties so that the small parameter, the relative thickness,...
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