147 citations · 453 across the 13 of their papers we have counts for
15 papers
Many-body excitations in trapped Bose gas: A non-Hermitian view
Manoussos G. Grillakis, Dionisios Margetis, Stephen Sorokanich
We provide the analysis of a physically inspired model for a trapped dilute Bose gas with repulsive pairwise atomic interactions at zero temperature. Our goal is to describe aspect…
Global estimates for the Hartree-Fock-Bogoliubov equations
Jacky Jia Wei Chong, Manoussos G. Grillakis, Matei Machedon +1
We prove that certain Sobolev-type norms, slightly stronger than those given by energy conservation, stay bounded uniformly in time and . This allows one to extend the local exi…
The Hartree-Fock equations in modulation spaces
Divyang G. Bhimani, Manoussos Grillakis, Kasso A. Okoudjou
We establish both a local and a global well-posedness theories for the nonlinear Hartree-Fock equations and its reduced analog in the setting of the modulation spaces on $\mathbb R…
Large data global regularity for the -dimensional equivariant Faddeev model
Dan-Andrei Geba, Manoussos G. Grillakis
This article addresses the large data global regularity for the equivariant case of the -dimensional Faddeev model and shows that it holds true for initial data in $H^s\times…
Large data global regularity for the classical equivariant Skyrme model
Dan-Andrei Geba, Manoussos G. Grillakis
This article is concerned with the large data global regularity for the equivariant case of the classical Skyrme model and proves that this is valid for initial data in $H^s\times…
Beyond mean field: On the role of pair excitations in the evolution of condensates
M. Grillakis, M. Machedon
This paper (published in 2013) introduces a refinement of the equations for the pair excitation function used in our previous work with D. Margetis. The new equations are Euler-Lag…