Global Uniform Stabilization of a Nonlinear Fluid Structure Interaction to a Non-Trivial Equilibrium

Faculty #51
Discipline: Mathematics & Statistics
Subcategory: STEM Research
- Virginia State University

---

Uniform stability to a non-trivial equilibrium of a nonlinear fluid structure interaction model is studied. To achieve this goal, boundary feedback control on the interface and/or interior feedback control on the fluid and solid domain are proposed. The stabilization result obtained is global and no assumptions on the smallness of the initial data or the size of equilibrium point are needed. The proof is based on special multipliers constructed from the Stokes solver and the projection operator on some appropriate functional space.

Funder Acknowledgement(s): This research was partially supported by NSF grant number HRD-1601127

Faculty Advisor: None Listed,