|
|
Stability of the Melting Hedgehog in the Landau–de Gennes Theory of Nematic Liquid Crystals
Radu Ignat
,
Luc Nguyen
,
Valeriy Slastikov
,
Arghir Zarnescu
Article dans une revue
hal-01673413v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
A thin-film limit in the Landau–Lifshitz–Gilbert equation relevant for the formation of Néel walls
Raphaël Côte
,
Radu Ignat
,
Evelyne Miot
Article dans une revue
hal-02006565v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Interaction Energy of Domain Walls in a Nonlocal Ginzburg–Landau Type Model from Micromagnetics
Radu Ignat
,
Roger Moser
Article dans une revue
hal-01673408v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
A compactness result for Landau state in thin-film micromagnetics
Radu Ignat
,
Felix Otto
Article dans une revue
hal-01673416v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Some uniqueness results for minimisers of Ginzburg-Landau functionals
Radu Ignat
,
Luc Nguyen
,
Valeriy Slastikov
,
Arghir Zarnescu
[Research Report] Institut de Mathématiques de Toulouse & Institut Universitaire de France, UMR 5219, Université de Toulouse, CNRS, UPS IMT. 2018
Rapport
hal-01803747v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Lifting of $\mathbb{RP}^{d-1}$-valued maps in $BV$ and applications to uniaxial $Q$-tensors. With an appendix on an intrinsic $BV$-energy for manifold-valued maps
Radu Ignat
,
Xavier Lamy
Calculus of Variations and Partial Differential Equations, In press
Article dans une revue
hal-01591233v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals
Radu Ignat
,
Luc Nguyen
,
Valeriy Slastikov
,
Arghir Zarnescu
Article dans une revue
hal-02265222v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals
Radu Ignat
,
Luc Nguyen
,
Valeriy Slastikov
,
Arghir Zarnescu
Article dans une revue
hal-01673414v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Rapport IUF : Analyse des singularités topologiques issues de la science des matériaux
Radu Ignat
Institut de Mathématiques de Toulouse & Institut Universitaire de France, UMR 5219, Université de Toulouse, CNRS, UPS IMT. 2023
Rapport
hal-04344197v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Two-dimensional unit-length vector fields of vanishing divergence
Radu Ignat
2011
Pré-publication, Document de travail
hal-00601054v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
A De Giorgi type conjecture for elliptic systems under the divergence constraint
Radu Ignat
[Research Report] Institut de Mathématiques de Toulouse & Institut Universitaire de France, UMR 5219, Université de Toulouse, CNRS, UPS IMT. 2020
Rapport
hal-02980093v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Global Uniform Estimate for the Modulus of Two-Dimensional Ginzburg-Landau Vortexless Solutions with Asymptotically Infinite Boundary Energy
Radu Ignat
,
Matthias Kurzke
,
Xavier Lamy
Article dans une revue
hal-02553053v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Global Jacobian and $\Gamma$-convergence in a two-dimensional Ginzburg-Landau model for boundary vortices
Radu Ignat
,
Matthias Kurzke
Article dans une revue
hal-02980256v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Instability of point defects in a two-dimensional nematic liquid crystal model
Radu Ignat
,
Luc Nguyen
,
Valeriy Slastikov
,
Arghir Zarnescu
Article dans une revue
hal-01673406v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
N\'eel walls with prescribed winding number and how a nonlocal term can change the energy landscape
Radu Ignat
,
Roger Moser
Article dans une revue
hal-01673401v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
A regularizing property of the $2D$-eikonal equation
Camillo de Lellis
,
Radu Ignat
Article dans une revue
hal-01673411v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Dimension reduction and optimality of the uniform state in a Phase-Field-Crystal model involving a higher order functional
Radu Ignat
,
Hamdi Zorgati
Journal of Nonlinear Science, In press
Article dans une revue
hal-01962919v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
On the uniqueness of minimisers of Ginzburg-Landau functionals
Radu Ignat
,
Luc Nguyen
,
Valeriy Slastikov
,
Arghir Zarnescu
Article dans une revue
hal-01673399v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Separation of domain walls with nonlocal interaction and their renormalised energy by $\Gamma$-convergence in thin ferromagnetic films
Radu Ignat
,
Roger Moser
Article dans une revue
hal-02980263v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Global uniform estimate for the modulus of 2D Ginzburg-Landau vortexless solutions with asymptotically infinite boundary energy
Radu Ignat
,
Matthias Kurzke
,
Xavier Lamy
SIAM Journal on Mathematical Analysis, 2020
Article dans une revue
hal-02265220v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
The magnetization ripple: a nonlocal stochastic PDE perspective
Radu Ignat
,
Felix Otto
Article dans une revue
hal-01673397v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Interaction energy between vortices of vector fields on Riemannian surfaces
Radu Ignat
,
Robert L. Jerrard
Article dans une revue
hal-01673400v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Uniqueness of degree-one Ginzburg–Landau vortex in the unit ball in dimensions N ≥ 7
Radu Ignat
,
Luc Nguyen
,
Valeriy Slastikov
,
Arghir Zarnescu
Comptes Rendus. Mathématique, 2018, 356 (9), pp.922-926
Article dans une revue
hal-01971044v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Kinetic formulation of vortex vector fields
Pierre Bochard
,
Radu Ignat
Article dans une revue
hal-01673402v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types
Lukas Döring
,
Radu Ignat
,
Felix Otto
Journal of the European Mathematical Society, 2014, 16 (7), pp.1377-1422. ⟨10.4171/JEMS/464⟩
Article dans une revue
hal-01673415v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
A necessary condition in a De Giorgi type conjecture for elliptic systems in infinite strips
Radu Ignat
,
Antonin Monteil
Pure and Applied Functional Analysis, In press
Article dans une revue
hal-02265221v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
An Effective Model for Boundary Vortices in Thin-Film Micromagnetics
Radu Ignat
,
Matthias Kurzke
Article dans une revue
hal-04281130v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
A De Giorgi type conjecture for minimal solutions to a nonlinear Stokes equation
Radu Ignat
,
Antonin Monteil
Communications on Pure and Applied Mathematics, In press, 73 (4), pp.771-854. ⟨10.1002/cpa.21867⟩
Article dans une revue
hal-01772618v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Energy minimisers of prescribed winding number in an $\mathbb{S}^1$-valued nonlocal Allen-Cahn type model
Radu Ignat
,
Roger Moser
Article dans une revue
hal-01971045v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|
|
|
Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds
Radu Ignat
,
Robert L. Jerrard
Article dans une revue
hal-02980235v1
|
Partager
Gmail
Facebook
X
LinkedIn
More
|