4 papers
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…
Magnetic Ginzburg-Landau energy with a periodic rapidly oscillating and diluted pinning term
Mickaël Dos Santos
We study the 2D full Ginzburg-Landau energy with a periodic rapidly oscillating, discontinuous and [strongly] diluted pinning term using a perturbative argument. This energy models…
Existence and non existence results for minimizers of the Ginzburg-Landau energy with prescribed degrees
Mickaël Dos Santos, Rémy Rodiac
Let be a smooth annular type domain. We consider the simplified Ginzburg-Landau energy $E_ε(u)=\frac{1}{2}\int_{\mathcal{D}} |\n…
Ginzburg-Landau model with small pinning domains
Mickaël Dos Santos, Oleksandr Misiats
We consider a Ginzburg-Landau type energy with a piecewise constant pinning term in the potential . The function is different from 1 only on finitely many…