91 citations · 194 across the 8 of their papers we have counts for
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math-ph2009★ 32 cited
Existence and Newtonian limit of nonlinear bound states in the Einstein-Dirac system
David Stuart
An analysis is given of particlelike nonlinear bound states in the Newtonian limit of the coupled Einstein-Dirac system introduced by Finster, Smoller and Yau. A proof is given of…
math-ph2009★ 37 cited
Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system
Sophia Demoulini, David Stuart
We study a nonlinear system of partial differential equations in which a complex field (the Higgs field) evolves according to a nonlinear Schroedinger equation, coupled to an elect…
math-ph2009★ 31 cited
Effective dynamics for solitons in the nonlinear Klein Gordon Maxwell system and the Lorentz force law
Eamonn Long, David Stuart
We consider the nonlinear Klein Gordon Maxwell system on four dimensional Minkowski space-time. For appropriate nonlinearities the system admits soliton solutions which are gauge i…