Name | Herr Prof. em. Dr. Michael Struwe |
Lehrgebiet | Mathematik |
Adresse | Dep. Mathematik ETH Zürich, HG G 50.1 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telefon | +41 44 633 81 48 |
Fax | +41 44 632 14 74 |
michael.struwe@math.ethz.ch | |
URL | http://www.math.ethz.ch/~struwe |
Departement | Mathematik |
Beziehung | Professor emeritus |
Nummer | Titel | ECTS | Umfang | Dozierende | |
---|---|---|---|---|---|
401-4350-67L | Fully Nonlinear Elliptic Equations | 4 KP | 1S | M. Struwe | |
Kurzbeschreibung | |||||
Lernziel | |||||
401-4355-67L | Nonlinear Evolution Problems | 8 KP | 4G | M. Struwe | |
Kurzbeschreibung | We discuss short-time and global existence, regularity, and uniqueness of solutions to various evolution problems in geometric analysis and physics, including the harmonic map heat flow, Yamabe flow, and the Navier-Stokes equations. In some cases, solutions or their derivatives may blow up in finite or infinite time, and we analyze the structure of these singularities. | ||||
Lernziel | Methods for proving local existence for the Cauchy problem for nonlinear parabolic equations, use of structural properties to establish global existence, blow-up techniques for the analysis of singularities. | ||||
Inhalt | We discuss short-time and global existence, regularity, and uniqueness of solutions to various evolution problems in geometric analysis and physics, including the harmonic map heat flow, Yamabe flow, and the Navier-Stokes equations. In some cases, solutions or their derivatives may blow up in finite or infinite time, and we analyze the structure of these singularities. | ||||
Voraussetzungen / Besonderes | Prerequisites are a working knowledge of Sobolev spaces, functional analysis, and measure theory. | ||||
401-5350-00L | Analysis Seminar | 0 KP | 1K | M. Struwe, A. Carlotto, F. Da Lio, A. Figalli, N. Hungerbühler, T. Ilmanen, T. Kappeler, T. Rivière, D. A. Salamon | |
Kurzbeschreibung | Research colloquium | ||||
Lernziel |