Martingale solutions in stochastic fluid-structure interaction (Q6123364)

The authors consider a model problem in the theory of fluid-structure interaction, i.e. interaction of a viscous incompressible fluid with an elastic shell in a three-dimensional domain. This problem is set in a stochastic framework with transport noise (a part of the boundary is subject to random movements). A construction of suitable weak solutions, i.e. solutions in the martingale sense is proved in such a general framework.