This project aims to offer a theoretical and practical (experimental) framework to test dynamics and motion variations in liquids which fall beyond the classical linear Newtonian properties. Such liquids are very often encountered in practice, to enumerate a few: blood, liquid detergent, liquid steel, oil, shampoo, ice/water mixture, gel, etc. The novelty of the proposed approach is that emerging tools from mathematics are cross-fertilized with systems and control theory to obtain a better understanding of dynamics of such liquids. The approach uses physical features of the system to model its dynamics and makes a link to the mathematical models proposed. Further on, control of motion of these liquids (via external forces) or of objects submersed in such liquids is proposed. The principal investigator has already a one year expertise in the matter and collaboration with the promotors exists. The application areas are broad and utility of results is guaranteed to have impact in many disciplines. Based on collaboration agreement and prior art with Arcelor Mittal Gent, there is special attention given to model liquid steel motion properties and control with external forces to regulate flow in the continuous casting process. The proposed research approach is in line with VWRI foresight for 2025 and has the potential to be a technology enabler in various domains.