Nonlinear Evolution Equations: Analysis and Numerics,
Oberwolfach, February 3-9, 2019

Program

Chairs: Marlis Hochbruck and Herbert Koch

09:00 – 09:15		Opening
09:15 – 09:45	Hajer Bahouri	Blow up mechanism for quasilinear wave equations
09:50 – 10:20	Christian Lubich	Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type
10:20 – 11:10		Break
11:10 – 11:40	Sebastian Herr	Wave maps and bilinear restriction
11:45 – 12:15	Lukas Einkemmer	A low-rank approximation of the Boltzmann equation with application to fluid flow

Chairs: Serge Nicaise and Ralf Hiptmair

16:00 – 16:30	Martin Spitz	Local wellposedness of quasilinear Maxwell equations on domains
16:35 – 17:05	Piero D'Ancona	Global almost radial solutions to supercritical wave equations outside the unit ball
17:05 – 17:20		Break
17:20 – 17:50	Martin Gander	A detailed convergence proof for the parareal algorithm
17:55 – 18:25	Elena Celledoni	Discrete conservation laws for finite element discretizations of multisymplectic flows

Chairs: Charalambos Makridakis and Peter Monk

09:00 – 09:30	Roland Schnaubelt	Error analysis of Runge-Kutta schemes for quasilinear hyperbolic problems
09:35 – 10:05	Timothy Candy	Asymptotic behavior of a Maxwell-Klein-Gordon system in dimension 1+3
10:05 – 11:00		Break
11:00 – 11:10		Greetings from the director
11:10 – 11:40	Birgit Schörkhuber	Non-trivial self-similar blowup for the focusing energy-supercritical wave equation
11:45 – 12:15	Philippe Chartier	Uniformly accurate methods for highly-oscillatory problems with time-dependent vanishing frequency
12:20 – 12:25		Photo

Chair: Sung-Jin Oh
Student presentations

16:00 – 16:15	Constantin Carle	Local time-stepping schemes
16:15 – 16:30	Dimitrije Cicmilovic	Symplectic non-squeezing and Hamiltonian PDE
16:30 – 16:45	Benjamin Dörich	Splitting methods for highly oscillatory differential equations
16:45 – 17:00	Jan Leibold	Full-discretization of semilinear wave equations with dynamic boundary conditions
17:00 – 17:15	Bernhard Maier	Space discretization of quasilinear wave-type equations
17:15 – 17:30		Break
17:30 – 17:45	Lisa Onkes	Asymptotically stable selfsimilar blow-up of the supercritical gKdV
17:45 – 18:00	Chiara Piazzola	A dynamical low-rank integrator for the Vlasov-Maxwell equations
18:00 – 18:15	Mirko Residori	A pseudo-spectral approach for the linearized KdV equation
18:15 – 18:30	Leonardo Tolomeo	Long time behavior for a stochastic wave equation

Chairs: Nicolas Burq and Nils Henrik Risebro

09:00 – 09:30	Mihaela Ifrim	Dispersive decay estimates for the Benjamin Ono equation
09:35 – 10:05	Daniel Tataru	Dispersive decay estimates for the KdV equation
10:10 – 10:40	Raphael Cote	Around self-similar solutions to the mKdV equation
10:45 – 11:20		Break
11:20 – 11:50	Eric Sonnendrücker	The gyrokinetic approximation of the Vlasov-Maxwell equation
11:55 – 12:25	Serge Nicaise	Fully discrete approximation of general nonlinear Sobolev equations

Chair: Elena Celledoni and Roland Schnaubelt

09:00 – 09:30	Karolina Kropielnicka	Splitting methods for Schrödinger equations - many problems - many approaches
09:35 – 10:05	Maria Lopez-Fernandez	Efficient algorithms for Schrödinger equations with concentrated potentials
10:10 – 10:40	Katharina Schratz	Low regularity integrators for dispersive equations
10:45 – 11:20		Break
11:20 – 11:50	Xian Liao	Conserved energies for the one dimensional Gross-Pitaevskii equation
11:55 – 12:25	Enno Lenzmann	Half-wave maps

Chair: Daniel Tataru and Helge Holden

16:00 – 16:30	Dario Bambusi	Growth of Sobolev norms in forced Schrödinger equations
16:35 – 17:05	Benoit Grebert	Rational normal forms: the killbill theory
17:05 – 17:20		Break
17:20 – 17:50	Erwan Faou	Some results in linearized wave turbulence
17:55 – 18:25	Tobias Jahnke	Time integration of dispersion managed nonlinear Schrödinger equations

Chairs: Maria Lopez-Fernandez and Martin Gander

09:00 – 09:30	Balazs Kovacs	A convergent evolving finite element algorithm for mean curvature flow of closed surfaces
09:35 – 10:05	Kenji Nakanishi	Randomized final data problem for nonlinear Schrödinger equations
10:10 – 11:00		Break
11:00 – 11:30	Piotr Bizon	Small amplitude solutions of the Schrödinger-Newton-Hooke system
11:35 – 12:05	Dirk Hundertmark	Absence of eigenvalues for magnetic Schrödinger operators

Mo. - Fr.	9 - 12 Uhr
Mo. - Do.	13 - 16 Uhr