Fluid Mechanics

Research activities in Fluid Mechanics cover a wide range of aspects in the mathematical theory of the classical Euler and Navier–Stokes equations describing the flow of incompressible fluids and more recent models in Non-Newtonian Mechanics including generalized Newtonian fluids, visco-elastic and visco-plastic fluids.

Among those aspects are: well-posedness of the corresponding boundary-value and initial boundary-value problems, qualitative properties of solutions, developments of fine analytic methods (like unique continuation, Liouville’s theorems, maximum principles, Harnack’s inequalities, etc) for resolving challenging problems inspired by the fundamental mathematical questions in Fluid Mechanics.

Faculty: Gregory Seregin and Gui-Qiang Chen

Students: Matthew Rigby and Miles Caddick