“…Flow-structure models have attracted considerable attention in the past mathematical literature, see, e.g., [2,3,8,9,10,14,16,17,22,31,32,36,37,39,41,43] and the references therein. However, the vast majority of the work done have been devoted to numerical and experimental studies, see, e..g., [1,6,7,20,21,22,24] and also the survey [34] and the literature cited there.…”