Partial Differential Equations III
Robert Lasarzik
Additional information / Pre-requisites
Voraussetzungen: Partielle Differentialgleichungen I und II
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 Nonlinear Evolution Equations 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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Wird in der Vorlesung bekannt gegeben / to be announced.
13 Class schedule
Regular appointments