engleski

A Review on Rigorous Derivation of Reduced Models for Fluid–Structure Interaction Systems

In this paper we review and systematize the mathematical theory on justification of sixth- order thin-film equations as reduced models for various fluid–structure interaction systems in which fluids are lubricating underneath elastic structures. Justification is based on careful examination of energy estimates, weak convergence results of solutions of the original fluid– structure interaction systems to the solution of the sixth-order thin-film equation, and quantitative error estimates that provide even strong convergence results.

thin viscous fluids ; fluid - structure interaction problems ; reduced models ; sixth-order thin-film equations ; error estimates

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