Uniform in $N$ estimates for a Bosonic system of Hartree-Fock-Bogoliubov type

Manoussos G. Grillakis, Matei Machedon

Type: Preprint

Publication Date: 2018-08-20

Citations: 0

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	Uniform in $N$ estimates for a Bosonic system of Hartree-Fock-Bogoliubov type	2018	Manoussos G. Grillakis Matei Machedon
+ PDF Chat	Uniform in <i>N</i> estimates for a Bosonic system of Hartree–Fock–Bogoliubov type	2019	Manoussos G. Grillakis Matei Machedon
+	Global uniform in $N$ estimates for solutions of a system of Hartree-Fock-Bogoliubov type in the case $β<1$	2022	Jacky J. Chong Xin Dong Manossos Grillakis Matei Machedon Zehua Zhao
+	Global Uniform in N Estimates for Solutions of a System of Hartree–Fock–Bogoliubov Type in the Case $$\beta <1$$	2024	Jacky J. Chong Xiaoyi Dong Manoussos G. Grillakis Matei Machedon Zengqin Zhao
+	Global uniform in $N$ estimates for solutions of a system of Hartree-Fock-Bogoliubov type in the Gross-Pitaveskii regime	2022	Xiaoqi Huang
+	Global estimates for the Hartree-Fock-Bogoliubov equations	2020	Jacky J. Chong Manoussos G. Grillakis Matei Machedon Zehua Zhao
+ PDF Chat	Uniform in N global well-posedness of the time-dependent Hartree–Fock–Bogoliubov equations in $$\mathbb {R}^{1+1}$$ R 1 + 1	2018	Jacky J. Chong
+ PDF Chat	Global estimates for the Hartree–Fock–Bogoliubov equations	2021	Jacky J. Chong Manoussos G. Grillakis Matei Machedon Zehua Zhao
+	Global-in-time Semiclassical Regularity for the Hartree-Fock Equation	2022	Jacky J. Chong Laurent Laflèche Chiara Saffirio
+ PDF Chat	Dynamical Hartree–Fock–Bogoliubov Approximation of Interacting Bosons	2021	Jacky J. Chong Zehua Zhao
+	Dynamical Hartree-Fock-Bogoliubov Approximation of Interacting Bosons	2017	Jacky J. Chong
+ PDF Chat	Derivation of the Bogoliubov Time Evolution for a Large Volume Mean-Field Limit	2019	Sören Petrat Peter Pickl Avy Soffer
+	Dynamical Hartree-Fock-Bogoliubov Approximation of Interacting Bosons	2017	Jacky J. Chong Zehua Zhao
+ PDF Chat	Strong semiclassical limits from Hartree and Hartree–Fock to Vlasov–Poisson equations	2023	Laurent Laflèche Chiara Saffirio
+	Derivation of the Bogoliubov Time Evolution for a Large Volume Mean-field Limit	2017	Sören Petrat Peter Pickl Avy Soffer
+	On the derivation of the Hartree equation in the mean field limit: Uniformity in the Planck constant	2016	François Golse Thierry Paul Mario Pulvirenti Ois Franç Thierry Golse Mario Paul
+	On the derivation of the hartree equation in the mean field limit: Uniformity in the planck constant	2016	François Golse Thierry Paul Mario Pulvirenti
+	Uniqueness of Gross Pitaevskii (GP) Solution on 1D and 2D Nonlinear Schr\"odinger Equations	2013	Zhihui Xie
+	A $L^{2}$ to $L^{\infty}$ approach for the Landau Equation	2016	Jin‐Oh Kim Yan Guo Hyung Ju Hwang
+	Apriori Estimates for Many-Body Hamiltonian Evolution of Interacting Boson System	2008	Manoussos G. Grillakis Dionisios Margetis

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (16)

Action	Title	Year	Authors
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	The<i>X<sup>s</sup><sub>θ</sub></i>spaces and unique continuation for solutions to the semilinear wave equation	1996	Daniel Tataru
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon
+ PDF Chat	The classical limit for quantum mechanical correlation functions	1974	K. Hepp
+ PDF Chat	On the Klainerman–Machedon conjecture for the quantum BBGKY hierarchy with self-interaction	2016	Xuwen Chen Justin Holmer
+ PDF Chat	The Dirac–Frenkel Principle for Reduced Density Matrices, and the Bogoliubov–de Gennes Equations	2018	Niels Benedikter Jérémy Sok Jan Philip Solovej
+	Dynamical Hartree-Fock-Bogoliubov Approximation of Interacting Bosons	2017	Jacky J. Chong
+ PDF Chat	Second Order Corrections to Mean Field Evolution for Weakly Interacting Bosons in The Case of Three-body Interactions	2011	Xuwen Chen
+ PDF Chat	Beyond mean field: On the role of pair excitations in the evolution of condensates	2013	Manoussos G. Grillakis Matei Machedon
+ PDF Chat	Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics	2009	Igor Rodnianski Benjamin Schlein