83 citations · 154 across the 12 of their papers we have counts for
13 papers
Generalized Strichartz estimates for the massive Dirac equation with critical potentials
Federico Cacciafesta, Elena Danesi, Eric Séré
In this paper we prove generalized Strichartz estimates for the massive Dirac equation in the case of two critical potential perturbations, namely the Aharonov-Bohm magnetic p…
Steady three-dimensional rotational flows: existence via Kato's approach to locally coercive problems
Boris Buffoni, Eric Séré
Stationary flows of an inviscid and incompressible fluid of constant density in the region , periodic in the second and third variables, are considered.…
Exponential decay of the critical points in a discrete model of polyacetylene
David Gontier, Adechola E. K. Kouande, Éric Séré
In this paper we consider stationary states of the SSH model for infinite polyacetylene chains that are homoclinic or heteroclinic connections between two-periodic dimerized states…
Multiple front standing waves in the FitzHugh-Nagumo equations
Chao-Nien Chen, Eric Séré
There have been several existence results for the standing waves of FitzHugh-Nagumo equations. Such waves are the connecting orbits of an autonomous second-order Lagrangian system…
Domains for Dirac-Coulomb min-max levels
Maria J. Esteban, Mathieu Lewin, Eric Séré
We consider a Dirac operator in three space dimensions, with an electrostatic (i.e. real-valued) potential , having a strong Coulomb-type singularity at the origin. This oper…
Local smoothing estimates for the massless Dirac-coulomb equation in 2 and 3 dimensions
Federico Cacciafesta, Eric Séré
We prove local smoothing estimates for the massless Dirac equation with a Coulomb potential in 2 and 3 space dimensions. Our strategy of proof is inspired by a paper of Burq et al.…