23 citations · 78 across the 16 of their papers we have counts for
11 papers · 1 filter
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…
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…
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…
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…