2 citations · 3 across the 7 of their papers we have counts for
12 papers
On the Convergence of critical points of the Ambrosio-Tortorelli functional
Jean-François Babadjian, Vincent Millot, Rémy Rodiac
This work is devoted to study the asymptotic behavior of critical points of the Ambrosio-Tortorelli functional. Under a uniform…
The Ginzburg-Landau energy with a pinning term oscillating faster than the coherence length
Mickaël Dos Santos, Rémy Rodiac, Etienne Sandier
The aim of this article is to study the magnetic Ginzburg-Landau functional with an oscillating pinning term. We consider here oscillations of the pinning term that are much faster…
Interacting helical traveling waves for the Gross-Pitaevskii equation
Juan Dávila, Manuel del Pino, María Medina +1
We consider the 3D Gross-Pitaevskii equation \begin{equation}\nonumber i\partial_t ψ+Δψ+(1-|ψ|^2)ψ=0 \text{ for } ψ:\mathbb{R}\times \mathbb{R}^3 \rightarrow \mathbb{C} \end{equati…
Renormalized energies for unit-valued harmonic maps in multiply connected domains
Rémy Rodiac, Paúl Ubillús
In this article we derive the expression of \textit{renormalized energies} for unit-valued harmonic maps defined on a smooth bounded domain in \(\mathbb{R}^2\) whose boundary has s…
Metric characterization of the sum of fractional Sobolev spaces
Rémy Rodiac, Jean Van Schaftingen
We introduce a non-linear criterion which allows us to determine when a function can be written as a sum of functions belonging to homogeneous fractional spaces: for $\ell \in \mat…
Interacting helical vortex filaments in the 3-dimensional Ginzburg-Landau equation
Juan Dávila, Manuel del Pino, Maria Medina +1
For each given , we construct a family of entire solutions , , with helical symmetry to the 3-dimensional complex-valued Ginzburg-Landa…