42 citations · 104 across the 12 of their papers we have counts for
12 papers
Numerical study of solitary waves in Dirac--Klein--Gordon system
Andrew Comech, Julien Ricaud, Marco Roque
We use numerics to construct solitary waves in Dirac--Klein--Gordon (in one and three spatial dimensions) and study the dependence of energy and charge o…
On gap properties for the linearized 1D Dirac--Soler model
Danko Aldunate, Julien Ricaud, Edgardo Stockmeyer
We study spectral properties of the Dirac operator obtained by linearizing the one-dimensional Soler model around standing waves with power nonlinearity $f(s)=s|s|^{p-1}, \,…
Stabilization against collapse of 2D attractive Bose-Einstein condensates with repulsive, three-body interactions
Dinh-Thi Nguyen, Julien Ricaud
We consider a trapped Bose gas of identical bosons in two dimensional space with both an attractive, two-body, scaled interaction and a repulsive, three-body, scaled interactio…
Inverse problem for Love waves in a layered, elastic half-space
Maarten V. de Hoop, Josselin Garnier, Alexei Iantchenko +1
In this paper we study Love waves in a layered, elastic half-space. We first address the direct problem and we characterize the existence of Love waves through the dispersion relat…
On one-dimensional Bose gases with two- and (critical) attractive three-body interactions
Dinh-Thi Nguyen, Julien Ricaud
We consider a one-dimensional, trapped, focusing Bose gas where bosons interact with each other via both a two-body interaction potential of the form an…
Dilute Bose gas with three-body interaction: recent results and open questions
Phan Thành Nam, Julien Ricaud, Arnaud Triay
We review our recent study on the ground state energy of dilute Bose gases with three-body interactions. The main feature of our results is the emergence of the 3D energy-critical…
Ground state energy of the low density Bose gas with three-body interactions
Phan Thành Nam, Julien Ricaud, Arnaud Triay
We consider the low density Bose gas in the thermodynamic limit with a three-body interaction potential. We prove that the leading order of the ground state energy of the system is…
The condensation of a trapped dilute Bose gas with three-body interactions
Phan Thành Nam, Julien Ricaud, Arnaud Triay
We consider a trapped dilute gas of bosons in interacting via a three-body interaction potential of the form . In the limit $N\to \infty…
Results on the spectral stability of standing wave solutions of the Soler model in 1-D
Danko Aldunate, Julien Ricaud, Edgardo Stockmeyer +1
We study the spectral stability of the nonlinear Dirac operator in dimension , restricting our attention to nonlinearities of the form …
Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime
Phan Thành Nam, Marcin Napiórkowski, Julien Ricaud +1
We study the Bose-Einstein condensates of trapped Bose gases in the Gross-Pitaevskii regime. We show that the ground state energy and ground states of the many-body quantum system…
Symmetry breaking in the periodic Thomas--Fermi--Dirac--von Weizs{ä}cker model
Julien Ricaud
We consider the Thomas--Fermi--Dirac--von~Weizs{ä}cker model for a system composed of infinitely many nuclei placed on a periodic lattice and electrons with a periodic density. We…
On uniqueness and non-degeneracy of anisotropic polarons
Julien Ricaud
We study the anisotropic Choquard--Pekar equation which de-scribes a polaron in an anisotropic medium. We prove the uniqueness and non-degeneracy of minimizers in a weakly anisotro…