3 citations · 3 across the 3 of their papers we have counts for
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Existence and Nonlinear Stability of Rotating Star Solutions of the Compressible Euler-Poisson Equations
Tao Luo, Joel Smoller
We prove existence of rotating star solutions which are steady-state solutions of the compressible isentropic Euler-Poisson (EP) equations in 3 spatial dimensions, with prescribed…
Blowup of smooth solutions for relativistic Euler equations
Ronghua Pan, Joel A. Smoller
We study the singularity formation of smooth solutions of the relativistic Euler equations in -dimensional spacetime for both finite initial energy and infinite initial ener…
Rotating Fluids with Self-Gravitation in Bounded Domains
Tao Luo, Joel Smoller
In this paper, we study the steady solutions of Euler-Poisson equations in bounded domains with prescribed angular velocity. This models a rotating Newtonian star consisting of a c…
Non-Existence of Black Hole Solutions to Static, Spherically Symmetric Einstein-Dirac Systems - a Critical Discussion
Felix Finster, Joel Smoller, Shing-Tung Yau
This short note compares different methods to prove that Einstein-Dirac systems have no static, spherically symmetric solutions.
The Interaction of Gravity with Other Fields
Joel A. Smoller
We consider the interaction of gravity, as expressed by Einstein's Equations of General Relativity, to other force fields. We describe some recent results, discussing both the math…
The Einstein-Dirac-Maxwell Equations - Black Hole Solutions
Felix Finster, Joel Smoller, Shing-Tung Yau
In this summary article, we review and discuss the non-existence of stationary black hole solutions for the Einstein-Dirac-Maxwell equations.