This is the website of our weekly Hyperbolic & Dispersive PDE Seminar at Rutgers University. Welcome!
Organizers: Maxime Van de Moortel, Avy Soffer, Gavin Stewart.
The topics covered by the seminar are very broad and also include, among others: General Relativity, Fluid Mechanics, Harmonic Analysis, Quantum Mechanics, Spectral Theory and Applied Mathematics, always with a strong emphasis on Analysis.
The seminar in the Fall 2024 is in Hill 705, at 3:50 PM on Thursdays.
Speaker: Istvan Kadar Princeton University
Title: Scattering for quasilinear wave equations near spacelike infinity.
Abstract: In this talk, I will present a general framework for constructing semiglobal scattering solutions to a broad class of nonlinear wave equations in a neighborhood of spacelike infinity, i.e. the exterior of a future and a past pointing null cones. I will describe how to compute the leading order terms towards future (null infinity) provided that similar leading order terms are given towards the past. Our results apply to Einstein Vacuum equations in harmonic gauge and to their linearized version in double null gauge. This study is motivated by the series of works ``The case against smooth null infinity'' and achieves a uniform control of previous scattering results proved for fixed spherical modes. This is joint work with Leonhard Kehrberger.
Speaker: Pin Yu Tsinghua University
Title: Constructing characteristic data for Euler equations
Abstract: Given two intersecting hypersurfaces in the $3+1$ dimensional Galilean spacetime under the assumption that each of them is transversal to the all time slices, we discuss how to construct all possible characteristic initial data for three dimensional compressible Euler equations posed on these two hypersurfaces.
Speaker: Francisco Gancedo Universidad de Sevilla/ IAS
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Speaker: Ian Tice Carnegie Mellon
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Speaker: Christoph Kehle MIT
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Speaker: Leonhard Kehrberger University of Leipzig
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Speaker: Fabio Pusateri University of Toronto
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Speaker: Warren Li Princeton University
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