29.05 - 02.06.2023

Venue: Wegelerstr. 10, Bonn

Organizers:

• Sebastian Herr (Bielefeld)
• Angkana Rüland (Bonn)
• Christoph Thiele (Bonn)

Confirmed Speakers: Bjoern Bringmann (Institute for Advanced Study, Princeton), Tadahiro Oh (University of Edinburgh), Tristan Buckmaster (University of Maryland), Felix Otto (Max-Planck-Institute Leipzig), Nicolas Burq (Université Paris-Sud), Pierre Raphaël (University of Cambridge), Jean-Marc Delort (Université Paris), Mikko Salo (University of Jyväskylä), Roland Donninger (University of Vienna), Jean-Claude Saut (Université Paris-Sud), Benjamin Dodson (Johns Hopkins University, Baltimore), Birgit Schörkhuber (University of Innsbruck), Patrick Gérard (Université Paris-Sud), Wenhui Shi (Monash University), Franz Gmeineder (University of Konstanz), Daniel Ioan Tataru (University of California, Berkeley), Mihaela Ifrim (University of Wisconsin), Leonardo Tolomeo (University of Edinburgh), Pekka Koskela (University of Jyväskylä), Nikolay Tzvetkov (ENS Lyon), Tobias Lamm (KIT), Monica Visan (University of California, Los Angeles), Xian Liao (KIT), Yi Zhang (Chinese Academy of Science), Jonas Lührmann (Texas A&M University), Yuan Zhou (Beijing Normal University), Yvan Martel (Université, Paris-Saclay-Versailles-Saint-Quentin), Christian Zillinger (KIT), Jeremy Louis Marzuola (University of North Carolina)

Content: This conference will offer talks by leading scientists within the field of Harmonic Analysis and Partial Differential Equations, with close context to the following research fields:

• Deterministic and Stochastic Dispersive PDE and Fluids
  Nonlinear dispersive PDE arise in  various contexts such as fluid mechanics, quantum mechanics, and mathematical relativity. Some of the prototypical nonlinear dispersive models are completely integrable and have solutions. The long-time behavior of generic solutions is one of the fundamental questions. By scaling considerations, large time-scales are connected to low spatial regularity.
• Nonlinear elliptic equations and free boundary value problems
  Free boundary value problems are inherently non-linear problems arise in many contexts in sciences and engineering. For instance, this includes the description of the melting of ice in water, the evolution of a thin fluid film or the shape of a membrane above some obstacle under the influence of gravity. The past ten years have in particular witnessed a major development in thin obstacle type problems driven by various linear and nonlinear elliptic operators.
  Inverse Problems
• The study of inverse problems seeks to recover unknown properties and parameters from indirect measurements, motivated, for instance, by the natural sciences, engineering or medicine. The study of PDE driven inverse problems includes prototypical problems such as the nonlinear, elliptic Calderon problem, the nonlinear, hyperbolic Gelfand problem, the nonlinear transport-type boundary rigidity problem or the inversion of the linear X-ray transform. These problems are situated at the interface of various disciplines of pure and applied mathematics involving the analysis of PDEs, harmonic analysis and geometry.

In case of scientific questions, please contact the organizers, in case of questions concerning services and administration, please contact hsm(at)hcm.uni-bonn.de.