I will review several works on the analysis of fluid–structure interactions, mainly developed in collaboration with
my team members in Prague and Uppsala.
These include:
(1) variational methods for constructing weak solutions that describe largely deformable solids interacting with fluids;
(2) studies of solids bouncing within fluids without topological contact; and
(3) the construction of time-periodic solutions for heat–wave couplings under specific geometric conditions.
I will also briefly mention some earlier research.