62 citations · 63 across the 10 of their papers we have counts for
10 papers
The "good" Boussinesq equation on the half-line: a Riemann-Hilbert approach
Christophe Charlier, Jonatan Lenells
We consider the ``good" Boussinesq equation on the half-line. Assuming existence of the solution, we prove that it can be recovered from the solution of a Riemann-Hilbe…
On the Hartree-Fock phase diagram for the two-dimensional Hubbard model
Christophe Charlier, Edwin Langmann, Jonatan Lenells
We propose an analytical method for the construction of Hartree-Fock phase diagrams for the (fermion) Hubbard model and various generalizations thereof. Such phase diagrams are tra…
Smallest gaps of the two-dimensional Coulomb gas
Christophe Charlier
We consider the two-dimensional Coulomb gas with a general potential at the determinantal temperature, or equivalently, the eigenvalues of random normal matrices. We prove that the…
Balayage of measures: behavior near a cusp
Christophe Charlier, Jonatan Lenells
Let be a positive measure supported on a domain . We consider the behavior of the balayage measure near a point at whic…
Numerical scheme for the solution of the "bad" Boussinesq equation
Christophe Charlier, Daniel Eriksson, Jonatan Lenells
We present a numerical scheme for the solution of the initial-value problem for the ``bad'' Boussinesq equation. The accuracy of the scheme is tested by comparison with exact solit…
Blow-up solutions of the "bad" Boussinesq equation
Christophe Charlier
We study blow-up solutions of the ``bad" Boussinesq equation, and prove that a wide range of asymptotic scenarios can happen. For example, for each , and…
Balayage of measures: behavior near a corner
Christophe Charlier, Jonatan Lenells
We consider the balayage of a measure defined on a domain onto its boundary . Assuming that has a corner of opening at a point for…
Free energy and fluctuations in the random normal matrix model with spectral gaps
Yacin Ameur, Christophe Charlier, Joakim Cronvall
We study large expansions for the partition function of a Coulomb gas $$Z_n=\frac 1 {π^n}\int_{\mathbb{C}^n}\prod_{1\le i<j\le n}|z_i-z_j|^2\prod_{i=1}^n e^{-nQ(z_i)}\, d^2 z_i…
Hole probabilities and balayage of measures for planar Coulomb gases
Christophe Charlier
We study hole probabilities of two-dimensional Coulomb gases with a general potential and arbitrary temperature. The hole region is assumed to satisfy , wh…
The "good'' Boussinesq equation: long-time asymptotics
C. Charlier, J. Lenells, D. Wang
We consider the initial-value problem for the ``good'' Boussinesq equation on the line. Using inverse scattering techniques, the solution can be expressed in terms of the solution…