Maximal Regularity Methods in Mathematical Fluid Mechanics

• Applicant: Professor Dr. Amru Hussein
• Subject Area: Mathematics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 536630683

Maximal $L^p_t$-regularity methods are a very flexible and powerful tool for the analysis of PDEs in mathematical fluid mechanics. The aim of this scientific network is to bring together younger researchers in this field, including researchers from Japan, Germany, and other European countries, to enlarge the scope of these methods. Mainly, we focus on three very concrete directions: rough coefficients and rough domains, geophysical flows, and stochastic fluid dynamics. In these areas maximal regularity methods should be advanced to tackle relevant applications.

• DFG Programme: Scientific Networks
• Co-Investigator: Professor Dr. Patrick Tolksdorf