23 citations · 78 across the 16 of their papers we have counts for
16 papers
Global Bifurcation of Steady Surface Capillary Waves on a Droplet
Gary Moon, Yilun Wu
We construct global curves of rotational traveling wave solutions to the water wave equations on a compact domain. The real analytic interface is subject to surface tension, w…
Existence of Rotating Magnetic Stars
Juhi Jang, Walter A. Strauss, Yilun Wu
We consider a star as a compressible fluid subject to gravitational and magnetic forces. This leads to an Euler-Poisson system coupled to a magnetic field, which may be regarded as…
Global Continuation and the Theory of Rotating Stars
Yilun Wu
This paper gives a condensed review of the history of solutions to the Euler-Poisson equations modeling equilibrium states of rotating stars and galaxies, leading to a recent resul…
Lightweight Event-based Optical Flow Estimation via Iterative Deblurring
Yilun Wu, Federico Paredes-Vallés, Guido C. H. E. de Croon
Inspired by frame-based methods, state-of-the-art event-based optical flow networks rely on the explicit construction of correlation volumes, which are expensive to compute and sto…
Identifying quenched jets in heavy ion collisions with machine learning
Lihan Liu, Julia Velkovska, Marta Verweij
Measurements of jet substructure in ultra-relativistic heavy ion collisions suggest that the jet showering process is modified by the interaction with quark gluon plasma. Modificat…
Global Continuation of a Vlasov Model of Rotating Galaxies
Walter A. Strauss, Yilun Wu
A typical galaxy consists of a huge number of stars attracted to each other by gravity. For instance, the Milky Way has about stars. Thus it is typically modeled by the V…
Existence of Rotating Stars with Variable Entropy
Juhi Jang, Walter A. Strauss, Yilun Wu
We model a rotating star as a compressible fluid subject to gravitational forces. In almost all the mathematical literature the entropy is considered to be constant. Here we allow…
ALPaCA vs. GP-based Prior Learning: A Comparison between two Bayesian Meta-Learning Algorithms
Yilun Wu
Meta-learning or few-shot learning, has been successfully applied in a wide range of domains from computer vision to reinforcement learning. Among the many frameworks proposed for…
Rapidly Rotating White Dwarfs
Walter Strauss, Yilun Wu
A rotating star may be modeled as a continuous system of particles attracted to each other by gravity and with a given total mass and prescribed angular velocity. Mathematically th…
The Phoenix Drone: An Open-Source Dual-Rotor Tail-Sitter Platform for Research and Education
Yilun Wu, Xintong Du, Rikky Duivenvoorden +1
In this paper, we introduce the Phoenix drone: the first completely open-source tail-sitter micro aerial vehicle (MAV) platform. The vehicle has a highly versatile, dual-rotor desi…
Rapidly Rotating Stars
Yilun Wu, Walter Strauss
A rotating star may be modeled as a continuous system of particles attracted to each other by gravity and with a given total mass and prescribed angular velocity. Mathematically th…
Jost Solutions and the Direct Scattering Problem of the Benjamin--Ono Equation
Yilun Wu
In this paper, we present a rigorous study of the direct scattering problem that arises from the complete integrability of the Benjamin--Ono (BO) equation. In particular, we establ…
Steady States of Rotating Stars and Galaxies
Walter Strauss, Yilun Wu
A rotating continuum of particles attracted to each other by gravity may be modeled by the Euler-Poisson system. The existence of solutions is a very classical problem. Here it is…
Simplicity and Finiteness of Discrete Spectrum of the Benjamin-Ono Scattering Operator
Yilun Wu
A spectral analysis is done on the operator of the Lax pair for the Benjamin-Ono equation. Simplicity and finiteness of the discrete spectrum are established as are needed for…
Existence of rotating planet solutions to the Euler-Poisson equations with an inner hard core
Yilun Wu
The Euler-Poisson equations model rotating gaseous stars. Numerous efforts have been made to establish existence and properties of the rotating star solutions. Recent interests in…
On rotating star solutions to non-isentropic Euler-Poisson equations
Yilun Wu
This paper investigates rotating star solutions to the Euler-Poisson equations with a non-isentropic equation of state. As a first step, the equation for gas density with a prescri…