Global-in-time well-posedness of the one-dimensional hydrodynamic Gross–Pitaevskii equations without vacuum
Z. Angew. Math. Phys. 74, 194 · Robert Wegner
Robert Wegner
Postdoctoral researcher · Institute for Analysis, Karlsruhe Institute of Technology
Research
My work aims to improve our understanding of the long-term behavior of dispersive, completely integrable, and stochastic nonlinear partial differential equations.
Collaborative Research Center 1173 · Project A12: Dynamics of the Gross–Pitaevskii equation and related dispersive equations.
Publications
Publications
Preprints
Long-wave KdV hierarchy approximation of the NLS hierarchy with nonzero boundary conditions
Preprint · Robert Wegner
Global well-posedness of the NLS hierarchy with nonzero boundary condition
Preprint · Xian Liao & Robert Wegner
Upcoming
On the boundedness and continuity of |ψ|−1ψ̄∇ψ
Forthcoming preprint · Lars Eric Hientzsch, Raffaele Scandone & Robert Wegner
Theses
On the NLS hierarchy with nonzero boundary condition
PhD thesis under Xian Liao · Karlsruhe Institute of Technology
On the Long-term Behavior of a Nonlinear Stochastic Wave Equation
Master’s thesis in Mathematics · University of Bonn
Talks
Long-wave KdV hierarchy approximation of the NLS hierarchy with nonzero boundary conditions
Athens · AIMS Conference
On the structure of the NLS hierarchy
Dalian · Mini-course
Long-wave approximation of the NLS hierarchy with nonzero boundary data by the KdV hierarchy
Karlsruhe · Conference on Mathematics of Wave Phenomena
Global well-posedness of the one-dimensional hydrodynamic Gross–Pitaevskii equations without vacuum
Karlstad · Equadiff
Well-posedness and long-wave KdV approximation of hydrodynamic Gross–Pitaevskii equations
Stuttgart · Oberseminar Nichtlineare Differentialgleichungen
Hamiltonian studies on counter-propagating water waves
Bad Teinach · Scientific Retreat
Projects for fun
simPDE ↗
A web app for simulating a range of partial differential equations.
Quickdice ↗
An Owlbear Rodeo extension for fast, command-style dice rolls.
Steiner symmetrization ↗
An interactive page for exploring Steiner symmetrization.
Hologram ↗
Proof-of-concept software for turning an ordinary screen into a rudimentary holographic display.
gw-frontend ↗
A planned frontend for a custom Forged Alliance game mode that never came to be.