Abstract
The present paper is devoted to the construction and investigation of two-dimensional hierarchical models for solid-fluid interaction. Applying the variational approach, the three-dimensional initial-boundary value problem is reduced to a sequence of two-dimensional problems and the existence and uniqueness of their solutions in suitable functional spaces is proved. The convergence of the sequence of vector-functions of three space variables to the solution of the original problem is proved and under additional regularity conditions the rate of approximation is estimated.
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