Andrea Poiatti - Personal Website

Hi! My name is Andrea Poiatti. I am an ESPRIT Project Leader at the University of Vienna, in the "Applied Mathematics and Modeling" group led by Ulisse Stefanelli. The title of my project is "Geometry and phases on elastic-fluidic biomembranes".

I formerly worked - and I am continuing the collaboration - with the group of Maurizio Grasselli at Politecnico di Milano.

My research field is focused on the mathematical analysis of nonlinear PDEs, namely on phase-field models for complex fluids. In particular:

• Well-posedness of local and non local Cahn-Hilliard and Allen-Cahn equations: two phases or multi-component mixtures

• Coupled problems with Navier-Stokes equations with standard or dynamic boundary conditions

• Models on evolving surfaces arising in Cell Membrane Biology

• Validity of the strict separation property from pure phases in phase-field models

• Longtime behavior: attractors and convergence to equilibria