Time：10:15-11:15, Wednesday, April 8 2026
Venue：E14-212
Speaker：Norbert J Mauser, WPI & Inst CNRS Pauli, Vienna
Title：Nonlinear Schrödinger Equations: How Can Mathematicians Be Useful For Physicists?!
Abstract：Nonlinear Schrödinger equations (NLS) are a large class of partial differential equations, including Gross Pitaevskii equations as simple mean-field models of Bose Einstein Condensates. There is a large amount of work by «pure» mathematicians on increasingly refined analysis of NLS (e.g., studies of «blow up», «semi-classical analysis» etc), but few mathematicians tackle things where (experimental) physicists could need their help most: mathematical modeling – numerical methods - computer simulations. We present selected topics in our 15 years of cooperation of mathematicians with the experimental groups at AtomInstitut Wien (Jörg Schmiedmayer, Thorsten Schumm) in the frame of the Wolfgang Pauli Institute, like efficient numerics for the «time of flight» or «Generalized HydroDynamics». We conclude with general remarks on the increasing separation of mathematics from physics at (most) universities.
