Nonlinear evolution equations
Robert Lasarzik
Additional information / Pre-requisites
The main lectures will be held in the two weeks: June 26-July 10; accompanying sessions will be organized around it.
Comments
Differential equations are a fundamental tool for modeling processes in science and technology. In this lecture, we first introduce the Bochner integral and weak derivatives, for functions with values in Banach spaces. Then, different evolution equations are considered, with linear and monotone operators. We consider the time-dependent Navier-Stokes equations, local existence of strong solutions, global existence of weak solutions and their weak-strong uniqueness. Finally, we are going to look at some recent advances in the field of PDEs.
This course is connected to the course Partial differential equations III and it is strongly recommended to take both modules together. This course is a BMS course and will be taught in English. This course can serve as basis for a master thesis.
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24 Class schedule
Regular appointments