R. Ignat

activity

20172026

RP^{d - 1}

-valued maps in

B V

and applications to uniaxial

Q

-tensors. With an appendix on an intrinsic

B V

-energy for manifold-valued maps

5 citations · 9 across the 14 of their papers we have counts for

collaborators

Showing 2019Show all

5 papers · 1 filter

math.AP2019★ 2 cited

Global Jacobian and $Γ$ -convergence in a two-dimensional Ginzburg-Landau model for boundary vortices

Radu Ignat, Matthias Kurzke

In the theory of $2 D$ Ginzburg-Landau vortices, the Jacobian plays a crucial role for the detection of topological singularities. We introduce a related distributional quantity, ca…

math.AP2019

Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds

Radu Ignat, Robert L. Jerrard

We study a variational Ginzburg-Landau type model depending on a small parameter $ε > 0$ for (tangent) vector fields on a $2$ -dimensional Riemannian manifold $S$ . As $\vare…

math.AP2019

Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals

Radu Ignat, Luc Nguyen, Valeriy Slastikov +1

We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius $R$ . We prove that under a symmetric boundary conditio…

math.AP2019

A necessary condition in a De Giorgi type conjecture for elliptic systems in infinite strips

Radu Ignat, Antonin Monteil

Given a bounded Lipschitz domain $ω \subset R^{d - 1}$ and a lower semicontinuous function $W : R^{N} \to R_{+} \cup {+ \infty}$ that vanishes on a finite set and tha…

math.AP2019★ 1 cited

Global uniform estimate for the modulus of $2 D$ Ginzburg-Landau vortexless solutions with asymptotically infinite boundary energy

Radu Ignat, Matthias Kurzke, Xavier Lamy

For $ε > 0$ , let $u_{ε} : Ω \to R^{2}$ be a solution of the Ginzburg-Landau system $- Δ u_{ε} = \frac{1}{ε ^{2}} u_{ε} (1 - ∣ u_{ε} ∣^{2})$ …

Global Jacobian and Γ-convergence in a two-dimensional Ginzburg-Landau model for boundary vortices

Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds

Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals

A necessary condition in a De Giorgi type conjecture for elliptic systems in infinite strips

Global uniform estimate for the modulus of 2D Ginzburg-Landau vortexless solutions with asymptotically infinite boundary energy

Global Jacobian and $Γ$ -convergence in a two-dimensional Ginzburg-Landau model for boundary vortices

Global uniform estimate for the modulus of $2 D$ Ginzburg-Landau vortexless solutions with asymptotically infinite boundary energy