48 citations · 194 across the 35 of their papers we have counts for
6 papers · 1 filter
On the solvability of a linear inhomogeneous problem arising in the blow-up analysis of the phase separation in Bose-Einstein condensates
Christos Sourdis
We study the inhomogeneous linear system which arises in the higher order asymptotic expansion of the wave functions of multi-component Bose-Einstein condensates, across the regula…
Counterexamples to Modica's gradient estimate for systems arising in multi-phase transitions
Christos Sourdis
We construct a plethora of one-dimensional periodic solutions for a class of semilinear elliptic systems of phase transition type which violate Modica's gradient estimate. This com…
Remarks on the interface layer of a two-component Bose-Einstein condensate
Christos Sourdis
We consider the heteroclinic connection problem for a class of Hamiltonian systems, containing a large competition parameter, which arise in the study of the behaviour of the wave…
Interface layer of a two-component Bose-Einstein condensate
Amandine Aftalion, Christos Sourdis
This paper deals with the study of the behaviour of the wave functions of a two-component Bose-Einstein condensate near the interface, in the case of strong segregation. This yield…
Analysis of an irregular boundary layer behavior for the steady state flow of a Boussinesq fluid
Christos Sourdis
Using a perturbation approach, we make rigorous the formal boundary layer asymptotic analysis of Turcotte, Spence and Bau from the early eighties for the vertical flow of an intern…
A Liouville type result for bounded, entire solutions to a class of variational semilinear elliptic systems
Christos Sourdis
We prove a Liouville type result for bounded, entire solutions to a class of variational semilinear elliptic systems, based on the growth of their potential energy over balls with…