Francesco De Anna

Dr. Francesco De Anna serves as a Lecturer at the Chair of Mathematics VI (Mathematics in the Natural Sciences) at the University of Würzburg. His academic profile centers on the rigorous mathematical analysis of complex fluid systems, with particular expertise in liquid crystal theory and non-isothermal fluid dynamics.

Dr. De Anna's research spans several key areas in mathematical fluid dynamics:

• Analysis of partial differential equations for complex fluids
• Liquid crystal theory (both director theory and Q-tensor framework)
• Non-isothermal fluid dynamics with temperature-dependent properties
• Mathematical modeling using the Energetic Variational Approach (EnVarA)
• Applications of harmonic analysis techniques to fluid problems

His publication record from 2013-2023 demonstrates consistent focus on well-posedness, regularity, and existence of solutions for various fluid models. The research shows strong interdisciplinary connections between pure mathematics, mathematical physics, and materials science, particularly in the domain of anisotropic fluid systems. His work frequently employs advanced analytical techniques including Littlewood-Paley decomposition and paradifferential calculus to address challenging problems in boundary layer theory, plasma physics, and magnetoviscoelastic fluids.

Dr. De Anna teaches courses in mathematical analysis, currently offering exercises for Analysis in Several Variables (Fundamentals of Analysis 2) and Analysis 2. Previously, he has taught Analysis in One Variable (Foundations of Analysis 1) and Introduction to Partial Differential Equations, demonstrating his commitment to foundational mathematical education and his expertise in core analytical methods.