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Author ID: ignat.radu Recent zbMATH articles by "Ignat, Radu"
Published as: Ignat, Radu; Ignat, R.
Documents Indexed: 58 Publications since 1999, including 1 Book and 3 Additional arXiv Preprints
Co-Authors: 26 Co-Authors with 45 Joint Publications
628 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 498 times in 209 Documents Cited by Year
The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate. Zbl 1106.58009
Ignat, Radu; Millot, Vincent
53
2006
Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals. Zbl 1308.35213
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
36
2015
Energy expansion and vortex location for a two-dimensional rotating Bose-Einstein condensate. Zbl 1105.82030
Ignat, Radu; Millot, Vincent
31
2006
Lifting of BV functions with values in \(S^1\). Zbl 1046.46026
Dávila, Juan; Ignat, Radu
24
2003
Instability of point defects in a two-dimensional nematic liquid crystal model. Zbl 1351.82110
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
23
2016
Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals. Zbl 1321.34035
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
22
2014
Stability of point defects of degree \(\pm \frac{1}{2}\) in a two-dimensional nematic liquid crystal model. Zbl 1353.82076
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
19
2016
A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011
Ignat, Radu; Otto, Felix
19
2008
Vortex energy and \(360^{\circ }\) Néel walls in thin-film micromagnetics. Zbl 1200.49046
Ignat, Radu; Knüpfer, Hans
17
2010
The space \(\operatorname{BV}(S^2,S^1)\): minimal connection and optimal lifting. Zbl 1083.49030
Ignat, Radu
16
2005
A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041
Ignat, Radu; Otto, Felix
15
2011
Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds. Zbl 1462.35375
Ignat, R.; Jerrard, R. L.
15
2021
Entropy method for line-energies. Zbl 1241.49010
Ignat, Radu; Merlet, Benoît
14
2012
Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals. Zbl 1276.35030
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
13
2013
A regularizing property of the \(2D\)-eikonal equation. Zbl 1327.35062
De Lellis, Camillo; Ignat, Radu
12
2015
A \(\Gamma \)-convergence result for Néel walls in micromagnetics. Zbl 1175.49014
Ignat, Radu
12
2009
Two-dimensional unit-length vector fields of vanishing divergence. Zbl 1246.46031
Ignat, Radu
11
2012
Lower bound for the energy of Bloch walls in micromagnetics. Zbl 1251.78003
Ignat, Radu; Merlet, Benoît
11
2011
Singularities of divergence-free vector fields with values into \(S^1\) or \(S^2\): applications to micromagnetics. Zbl 1262.35194
Ignat, Radu
11
2012
A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types. Zbl 1301.49124
Döring, Lukas; Ignat, Radu; Otto, Felix
10
2014
Interaction energy of domain walls in a nonlocal Ginzburg-Landau type model from micromagnetics. Zbl 1342.35362
Ignat, Radu; Moser, Roger
10
2016
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. Zbl 1411.49032
Ignat, Radu; Lamy, Xavier
9
2019
On an open problem about how to recognize constant functions. Zbl 1082.46022
Ignat, Radu
8
2005
Néel walls with prescribed winding number and how a nonlocal term can change the energy landscape. Zbl 1402.35096
Ignat, Radu; Moser, Roger
8
2017
Global Jacobian and \(\Gamma\)-convergence in a two-dimensional Ginzburg-Landau model for boundary vortices. Zbl 1458.35396
Ignat, Radu; Kurzke, Matthias
8
2021
On the uniqueness of minimisers of Ginzburg-Landau functionals. Zbl 1445.35011
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
8
2020
A thin-film limit in the Landau-Lifshitz-Gilbert equation relevant for the formation of Néel walls. Zbl 1316.35152
Côte, Raphaël; Ignat, Radu; Miot, Evelyne
7
2014
Interaction energy between vortices of vector fields on Riemannian surfaces. (Énergie d’interaction entre les tourbillons des champs de vecteurs sur une surface riemannienne.) Zbl 1368.35255
Ignat, Radu; Jerrard, Robert L.
7
2017
Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals. Zbl 1444.76017
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
7
2020
A De Giorgi-type conjecture for minimal solutions to a nonlinear Stokes equation. Zbl 1441.35008
Ignat, Radu; Monteil, Antonin
6
2020
Uniqueness of degree-one Ginzburg-Landau vortex in the unit ball in dimensions \(N\geq 7\). (Unicité du tourbillon de Ginzburg-Landau de degré un dans la boule unité en dimension \(N \geq7\).) Zbl 1398.49003
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
5
2018
A survey of some new results in ferromagnetic thin films. Zbl 1180.35497
Ignat, Radu
5
2008
A zigzag pattern in micromagnetics. Zbl 1248.49064
Ignat, Radu; Moser, Roger
4
2012
The magnetization ripple: a nonlocal stochastic PDE perspective. Zbl 1426.35240
Ignat, Radu; Otto, Felix
4
2019
Energy minimisers of prescribed winding number in an \(\mathbb{S}^1\)-valued nonlocal Allen-Cahn type model. Zbl 1427.82054
Ignat, Radu; Moser, Roger
4
2019
Global uniform estimate for the modulus of two-dimensional Ginzburg-Landau vortexless solutions with asymptotically infinite boundary energy. Zbl 1437.35646
Ignat, Radu; Kurzke, Matthias; Lamy, Xavier
3
2020
Optimal lifting for BV \(( S^{1}, S^{1})\). Zbl 1069.49030
Ignat, Radu
3
2005
On the relation between minimizers of a \(\Gamma\)-limit energy and optimal lifting in \(\text{BV}\)-space. Zbl 1253.49035
Ignat, Radu; Poliakovsky, Arkady
2
2007
Gradient vector fields with values into \(S^1\). Zbl 1225.35052
Ignat, Radu
2
2011
Vortices in a 2d rotating Bose–Einstein condensate. Zbl 1072.35566
Ignat, Radu; Millot, Vincent
2
2005
Asymmetric domain walls of small angle in soft ferromagnetic films. Zbl 1334.35332
Döring, Lukas; Ignat, Radu
1
2016
Uniqueness result for a weighted pendulum equation modeling domain walls in notched ferromagnetic nanowires. Zbl 1504.35558
Ignat, Radu
1
2022
Uniqueness result for a weighted pendulum equation modeling domain walls in notched ferromagnetic nanowires. Zbl 1504.35558
Ignat, Radu
1
2022
Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds. Zbl 1462.35375
Ignat, R.; Jerrard, R. L.
15
2021
Global Jacobian and \(\Gamma\)-convergence in a two-dimensional Ginzburg-Landau model for boundary vortices. Zbl 1458.35396
Ignat, Radu; Kurzke, Matthias
8
2021
On the uniqueness of minimisers of Ginzburg-Landau functionals. Zbl 1445.35011
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
8
2020
Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals. Zbl 1444.76017
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
7
2020
A De Giorgi-type conjecture for minimal solutions to a nonlinear Stokes equation. Zbl 1441.35008
Ignat, Radu; Monteil, Antonin
6
2020
Global uniform estimate for the modulus of two-dimensional Ginzburg-Landau vortexless solutions with asymptotically infinite boundary energy. Zbl 1437.35646
Ignat, Radu; Kurzke, Matthias; Lamy, Xavier
3
2020
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. Zbl 1411.49032
Ignat, Radu; Lamy, Xavier
9
2019
The magnetization ripple: a nonlocal stochastic PDE perspective. Zbl 1426.35240
Ignat, Radu; Otto, Felix
4
2019
Energy minimisers of prescribed winding number in an \(\mathbb{S}^1\)-valued nonlocal Allen-Cahn type model. Zbl 1427.82054
Ignat, Radu; Moser, Roger
4
2019
Uniqueness of degree-one Ginzburg-Landau vortex in the unit ball in dimensions \(N\geq 7\). (Unicité du tourbillon de Ginzburg-Landau de degré un dans la boule unité en dimension \(N \geq7\).) Zbl 1398.49003
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
5
2018
Néel walls with prescribed winding number and how a nonlocal term can change the energy landscape. Zbl 1402.35096
Ignat, Radu; Moser, Roger
8
2017
Interaction energy between vortices of vector fields on Riemannian surfaces. (Énergie d’interaction entre les tourbillons des champs de vecteurs sur une surface riemannienne.) Zbl 1368.35255
Ignat, Radu; Jerrard, Robert L.
7
2017
Instability of point defects in a two-dimensional nematic liquid crystal model. Zbl 1351.82110
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
23
2016
Stability of point defects of degree \(\pm \frac{1}{2}\) in a two-dimensional nematic liquid crystal model. Zbl 1353.82076
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
19
2016
Interaction energy of domain walls in a nonlocal Ginzburg-Landau type model from micromagnetics. Zbl 1342.35362
Ignat, Radu; Moser, Roger
10
2016
Asymmetric domain walls of small angle in soft ferromagnetic films. Zbl 1334.35332
Döring, Lukas; Ignat, Radu
1
2016
Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals. Zbl 1308.35213
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
36
2015
A regularizing property of the \(2D\)-eikonal equation. Zbl 1327.35062
De Lellis, Camillo; Ignat, Radu
12
2015
Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals. Zbl 1321.34035
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
22
2014
A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types. Zbl 1301.49124
Döring, Lukas; Ignat, Radu; Otto, Felix
10
2014
A thin-film limit in the Landau-Lifshitz-Gilbert equation relevant for the formation of Néel walls. Zbl 1316.35152
Côte, Raphaël; Ignat, Radu; Miot, Evelyne
7
2014
Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals. Zbl 1276.35030
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
13
2013
Entropy method for line-energies. Zbl 1241.49010
Ignat, Radu; Merlet, Benoît
14
2012
Two-dimensional unit-length vector fields of vanishing divergence. Zbl 1246.46031
Ignat, Radu
11
2012
Singularities of divergence-free vector fields with values into \(S^1\) or \(S^2\): applications to micromagnetics. Zbl 1262.35194
Ignat, Radu
11
2012
A zigzag pattern in micromagnetics. Zbl 1248.49064
Ignat, Radu; Moser, Roger
4
2012
A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041
Ignat, Radu; Otto, Felix
15
2011
Lower bound for the energy of Bloch walls in micromagnetics. Zbl 1251.78003
Ignat, Radu; Merlet, Benoît
11
2011
Gradient vector fields with values into \(S^1\). Zbl 1225.35052
Ignat, Radu
2
2011
Vortex energy and \(360^{\circ }\) Néel walls in thin-film micromagnetics. Zbl 1200.49046
Ignat, Radu; Knüpfer, Hans
17
2010
A \(\Gamma \)-convergence result for Néel walls in micromagnetics. Zbl 1175.49014
Ignat, Radu
12
2009
A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011
Ignat, Radu; Otto, Felix
19
2008
A survey of some new results in ferromagnetic thin films. Zbl 1180.35497
Ignat, Radu
5
2008
On the relation between minimizers of a \(\Gamma\)-limit energy and optimal lifting in \(\text{BV}\)-space. Zbl 1253.49035
Ignat, Radu; Poliakovsky, Arkady
2
2007
The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate. Zbl 1106.58009
Ignat, Radu; Millot, Vincent
53
2006
Energy expansion and vortex location for a two-dimensional rotating Bose-Einstein condensate. Zbl 1105.82030
Ignat, Radu; Millot, Vincent
31
2006
The space \(\operatorname{BV}(S^2,S^1)\): minimal connection and optimal lifting. Zbl 1083.49030
Ignat, Radu
16
2005
On an open problem about how to recognize constant functions. Zbl 1082.46022
Ignat, Radu
8
2005
Optimal lifting for BV \(( S^{1}, S^{1})\). Zbl 1069.49030
Ignat, Radu
3
2005
Vortices in a 2d rotating Bose–Einstein condensate. Zbl 1072.35566
Ignat, Radu; Millot, Vincent
2
2005
Lifting of BV functions with values in \(S^1\). Zbl 1046.46026
Dávila, Juan; Ignat, Radu
24
2003
all top 5

Cited by 200 Authors

40 Ignat, Radu
15 Canevari, Giacomo
14 Slastikov, Valeriy V.
12 Lamy, Xavier
11 Zarnescu, Arghir Dani
7 Liu, Zuhan
7 Majumdar, Apala
7 Millot, Vincent
7 Nguyen, Luc
7 Orlandi, Giandomenico
7 Pelinovsky, Dmitry Efimovich
6 Aftalion, Amandine
6 Correggi, Michele
6 Di Fratta, Giovanni
6 Golovaty, Dmitry
6 Merlet, Benoît
6 Rougerie, Nicolas
5 Bronsard, Lia
5 Lorent, Andrew
5 Moser, Roger
5 Mucci, Domenico
5 Muratov, Cyrill B.
5 Otto, Felix
5 Yngvason, Jakob
4 Alama, Stan
4 Gallo, Clément
4 Goldman, Michael
4 Guo, Yujin
4 Kurzke, Matthias W.
4 Monteil, Antonin
4 Montero, José Alberto
4 Novack, Michael R.
4 Peng, Guanying
4 Pisante, Adriano
4 Poliakovsky, Arkady
4 Royo-Letelier, Jimena
4 Segatti, Antonio
4 Sourdis, Christos
3 Contreras, Andres A.
3 Dipasquale, Federico Luigi
3 Döring, Lukas
3 Jerrard, Robert Leon
3 Karali, Georgia D.
3 Knüpfer, Hans
3 Luo, Yong
3 Mironescu, Petru
3 Robbins, Jonathan M.
3 Rodiac, Rémy
3 Smyrnelis, Panayotis
3 Wang, Wei
3 Yan, Xiaodong
3 Zhang, Pingwen
2 Babadjian, Jean-François
2 Bochard, Pierre
2 Brézis, Haïm
2 Cicalese, Marco
2 Clerc, Marcel G.
2 Côte, Raphaël
2 Dinh, Van Duong
2 Francfort, Gilles A.
2 Geng, Zhiyuan
2 Giaquinta, Mariano
2 Kevrekidis, Panayotis G.
2 Kowalczyk, Michał
2 Lund, Ross G.
2 Melcher, Christof
2 Pinsker, Florian
2 Privat, Yannick
2 Sandier, Etienne
2 Shafrir, Itai
2 Sternberg, Peter J.
2 Trélat, Emmanuel
2 Van Schaftingen, Jean
2 Venkatraman, Raghavendra
2 Wang, Yiwei
2 Yu, Yong
2 Zhang, Lei
1 Aarts, Dirk G. A. L.
1 Acharya, Amit
1 Alouges, François
1 An, Dong
1 Arbunich, Jack
1 Badal, Rufat
1 Baldo, Sisto
1 Bao, Weizhu
1 Bedford, Stephen
1 Bouck, Lucas
1 Chambolle, Antonin
1 Chandra, Ajay
1 Chen, Wei
1 Chiarini, Leandro
1 Contreras Hip, Andres A.
1 Curcă, Eduard
1 Dávila, Juan Diego
1 Davoli, Elisa
1 De Anna, Francesco
1 De Lellis, Camillo
1 De Luca, Lucia
1 De Marco, Giuseppe
1 Dimonte, Daniele
...and 100 more Authors
all top 5

Cited in 60 Serials

31 Archive for Rational Mechanics and Analysis
22 Calculus of Variations and Partial Differential Equations
14 Journal of Functional Analysis
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Journal of Nonlinear Science
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Communications in Mathematical Physics
7 Journal of Differential Equations
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 SIAM Journal on Mathematical Analysis
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of Mathematical Analysis and Applications
5 Journal of Mathematical Physics
4 Communications in Partial Differential Equations
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Communications on Pure and Applied Mathematics
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Journal on Applied Mathematics
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Journal of Fixed Point Theory and Applications
2 Letters in Mathematical Physics
2 Nonlinearity
2 Reviews in Mathematical Physics
2 Quarterly of Applied Mathematics
2 Acta Applicandae Mathematicae
2 Physica D
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Communications in Contemporary Mathematics
2 Analysis & PDE
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Houston Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Statistical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Indiana University Mathematics Journal
1 Mathematische Annalen
1 Proceedings of the American Mathematical Society
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Studies in Applied Mathematics
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 Forum Mathematicum
1 NoDEA. Nonlinear Differential Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Mathematics and Mechanics of Solids
1 Journal of the European Mathematical Society (JEMS)
1 Advanced Nonlinear Studies
1 Communications on Pure and Applied Analysis
1 Milan Journal of Mathematics
1 International Journal of Geometric Methods in Modern Physics
1 Acta Numerica
1 Oberwolfach Reports
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Calculus of Variations
1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 Research in the Mathematical Sciences
1 Tunisian Journal of Mathematics

Citations by Year