Nonlinear dispersive and wave equations
Recent developments and future directions
A conference in honor of Carlos Kenig
December 11 to 15, 2023
Monash University, Melbourne, Australia
Schedule (Title and Abstracts)
Venues
Venue for talks:
S14, 11 Rainforest Walk
Venue for discussions:
Ground floor at 9 Rainforest Walk
Venue for party:
MLC, room G39, at 9 Rainforest Walk
Venue for BBQ dinner:
Garden at 9 Rainforest Walk
11/12
8:30-9:00 Opening
Morning Session (Chair: Gigliola Staffilani)
9:00-9:50 Charles Collot: Asymptotic stability of traveling waves for one-dimensional nonlinear Schrodinger equations
10:00-10:50 Andrew Hassell: The nonlinear Schrodinger equation: a Fredholm approach
11:20-12:10 Baoping Liu: Wellposedness for the KdV hierarchy
Afternoon Session (Chair: Andrew Hassell)
14:00-14:50 Baoxiang Wang: Global Cauchy problem for the complex NLKG and sinh-Gordon equations in super-critical spaces
15:00-15:50 Ruipeng Shen: Decay estimates of adjoint Radon transform and their application on wave equations
16:00-16:20 Zijun Chen: Local well-posedness for dispersion generalized Benjamin-Ono equations in Fourier-Lebesgue spaces
16:25-16:45 Jia Shen: Scattering for defocusing mass subcritical NLS
16:50-17:10 Tomoyuki Tanaka: Improved bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations
12/12
Morning Session (Chair: Charles Collot)
9:00-9:50 Kenji Nakanishi: Global dynamics around multi-solitons to the nonlinear Klein-Gordon equation
10:00-10:50 Jonas Luhrmann: On co-dimension one stability of the soliton for the 1D focusing cubic Klein-Gordon equation
11:20-12:10 Frank Merle: On soliton resolution for energy critical wave equation in the radial case
Afternoon Session (Chair: Jonas Luhrmann)
14:00-14:50 Todd Oliynyk: Stable big bang singularity formation in general relativity
15:00-15:50 Natasa Pavlovic: Two tales of a rigorous Derivation of the Hamiltonian Structure
16:00-16:20 Gonzalo Cao: Self-similar profiles for 3D compressible fluids
16:25-16:45 Qiuye Jia: Propagation of singularities of wave equations on Kerr and Kerr-de Sitter spacetimes
16:50-17:10 Joseph Miller: On the effective dynamics of Bose-Fermi Mixtures
13/12
Morning Session (Chair: Tomoyuki Tanaka)
9:00-9:50 Luc Molinet: Some remarks on well-posedness for the KP-I equation
10:00-10:50 Bobby Wilson: NLS in hyperbolic space
11:20-12:10 Chengyang Shao: Overcoming Nash-Moser via Harmonic Analysis
14/12
Morning Session (Chair: Bobby Wilson)
9:00-9:50 Luis Vega: The binormal flow and the desingularization of the Biot-Savart integral
10:00-10:50 Boyang Su: Global Solutions For Systems of Quadratic Nonlinear Schrodinger Equations in 3D
11:20-12:10 Daniel Eceizabarrena: Multifractality in the evolution of vortex filaments
Afternoon Session (Chair: Chengyang Shao)
14:00-14:50 Xueying Yu: Some unique continuation results for Schrodinger equations
15:00-15:50 Gustavo Ponce: Special properties of some nonlinear nonlocal dispersive models
Party
16:00-17:00 G39, 9 Rainforest Walk
Carlos Kenig: A few reminiscences of my life as a mathematician
15/12
Morning Session (Chair: Xueying Yu)
9:00-9:50 Jia Shi: Non-radial implosion for compressible Euler and Navier-Stokes in T3 and R3
10:00-10:50 Chenjie Fan: Log log blow up with randomized initial data
11:20-12:10 Wilhelm Schlag: Schrodinger cocycles, localization, spectra, duality, and zeros of determinants