Recent Preprints (older papers are listed on my CV):
On the uniqueness of solutions to the Gross-Pitaevskii hierarchy.
, (with S. Klainerman),
Communications in Mathematical Physics, (2008).
The final publication is available at http://link.springer.com
Second order corrections to weakly interacting bosons, I.
, (with M. Grillakis and D. Margetis)
Communications in Mathematical Physics, (2010).
The final publication is available at http://link.springer.com.
Second order corrections to weakly interacting bosons, II.
, (with M. Grillakis and D. Margetis)
Advances in Mathematics, (2011).
Pair excitations and the mean field approximation of interacting bosons, I.
, (with M. Grillakis).
Communications in Mathematical Physics (2013).
The final publication is available at http://link.springer.com
Beyond mean field: on the role of pair excitations in the evolution of condensates,
, (with M. Grillakis). Invited paper for a festschrift
dedicated to Yvonne Choquet-Bruhat,
Journal of Fixed Point Theory and Applications (2013).
Pair excitations and the mean field approximation of interacting Bosons, II
, (with M. Grillakis). Communications in PDE (2017).
Uniform in N estimates for a Bosonic system of Hartree-Fock-Bogoliubov type
, (with M. Grillakis).
Communications in PDE (2019).
Counterexamples to L^p collapsing estimates,
(with X. Du). Illinois Journal of Mathematics, Vol. 65, No. 1 (2021), 191 - 200
Global estimates for the Hartree-Fock-Bogoliubov equations
(with J. Chong, M. Grillakis and Z. Zhao). Communications in PDE (2021).
Global uniform in N estimates
for solutions of a system of Hartree-Fock-Bogoliubov type in the case beta<1
(with J. Chong, X. Dong, M. Grillakis and Z. Zhao).