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Author ID: ignat.radu Recent zbMATH articles by "Ignat, Radu"
Published as: Ignat, Radu; Ignat, R.
Documents Indexed: 49 Publications since 1999, including 1 Book
Co-Authors: 21 Co-Authors with 37 Joint Publications
507 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 359 times in 165 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
48
2006
Energy expansion and vortex location for a two-dimensional rotating Bose-Einstein condensate. Zbl 1105.82030
Ignat, Radu; Millot, Vincent
28
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
26
2015
Lifting of BV functions with values in \(S^1\). Zbl 1046.46026
Dávila, Juan; Ignat, Radu
24
2003
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
18
2014
Instability of point defects in a two-dimensional nematic liquid crystal model. Zbl 1351.82110
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
17
2016
A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011
Ignat, Radu; Otto, Felix
16
2008
The space \(\operatorname{BV}(S^2,S^1)\): minimal connection and optimal lifting. Zbl 1083.49030
Ignat, Radu
16
2005
Vortex energy and \(360^{\circ }\) Néel walls in thin-film micromagnetics. Zbl 1200.49046
Ignat, Radu; Knüpfer, Hans
13
2010
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
13
2016
A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041
Ignat, Radu; Otto, Felix
12
2011
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
12
2013
Entropy method for line-energies. Zbl 1241.49010
Ignat, Radu; Merlet, Benoît
10
2012
Lower bound for the energy of Bloch walls in micromagnetics. Zbl 1251.78003
Ignat, Radu; Merlet, Benoît
9
2011
Singularities of divergence-free vector fields with values into \(S^1\) or \(S^2\): applications to micromagnetics. Zbl 1262.35194
Ignat, Radu
8
2012
A \(\Gamma \)-convergence result for Néel walls in micromagnetics. Zbl 1175.49014
Ignat, Radu
7
2009
A regularizing property of the \(2D\)-eikonal equation. Zbl 1327.35062
De Lellis, Camillo; Ignat, Radu
7
2015
On an open problem about how to recognize constant functions. Zbl 1082.46022
Ignat, Radu
6
2005
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
6
2019
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
6
2014
Two-dimensional unit-length vector fields of vanishing divergence. Zbl 1246.46031
Ignat, Radu
6
2012
Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds. Zbl 1462.35375
Ignat, R.; Jerrard, R. L.
5
2021
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.
5
2017
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
5
2014
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
4
2018
Optimal lifting for BV \(( S^{1}, S^{1})\). Zbl 1069.49030
Ignat, Radu
3
2005
A De Giorgi-type conjecture for minimal solutions to a nonlinear Stokes equation. Zbl 1441.35008
Ignat, Radu; Monteil, Antonin
3
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
3
2020
On the uniqueness of minimisers of Ginzburg-Landau functionals. Zbl 1445.35011
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
3
2020
Néel walls with prescribed winding number and how a nonlocal term can change the energy landscape. Zbl 1402.35096
Ignat, Radu; Moser, Roger
3
2017
A survey of some new results in ferromagnetic thin films. Zbl 1180.35497
Ignat, Radu
3
2008
Interaction energy of domain walls in a nonlocal Ginzburg-Landau type model from micromagnetics. Zbl 1342.35362
Ignat, Radu; Moser, Roger
3
2016
A zigzag pattern in micromagnetics. Zbl 1248.49064
Ignat, Radu; Moser, Roger
3
2012
Vortices in a 2d rotating Bose–Einstein condensate. Zbl 1072.35566
Ignat, Radu; Millot, Vincent
2
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
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
1
2020
The magnetization ripple: a nonlocal stochastic PDE perspective. Zbl 1426.35240
Ignat, Radu; Otto, Felix
1
2019
Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds. Zbl 1462.35375
Ignat, R.; Jerrard, R. L.
5
2021
A De Giorgi-type conjecture for minimal solutions to a nonlinear Stokes equation. Zbl 1441.35008
Ignat, Radu; Monteil, Antonin
3
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
3
2020
On the uniqueness of minimisers of Ginzburg-Landau functionals. Zbl 1445.35011
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
3
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
1
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
6
2019
The magnetization ripple: a nonlocal stochastic PDE perspective. Zbl 1426.35240
Ignat, Radu; Otto, Felix
1
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
4
2018
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.
5
2017
Néel walls with prescribed winding number and how a nonlocal term can change the energy landscape. Zbl 1402.35096
Ignat, Radu; Moser, Roger
3
2017
Instability of point defects in a two-dimensional nematic liquid crystal model. Zbl 1351.82110
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
17
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
13
2016
Interaction energy of domain walls in a nonlocal Ginzburg-Landau type model from micromagnetics. Zbl 1342.35362
Ignat, Radu; Moser, Roger
3
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
26
2015
A regularizing property of the \(2D\)-eikonal equation. Zbl 1327.35062
De Lellis, Camillo; Ignat, Radu
7
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
18
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
6
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
5
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
12
2013
Entropy method for line-energies. Zbl 1241.49010
Ignat, Radu; Merlet, Benoît
10
2012
Singularities of divergence-free vector fields with values into \(S^1\) or \(S^2\): applications to micromagnetics. Zbl 1262.35194
Ignat, Radu
8
2012
Two-dimensional unit-length vector fields of vanishing divergence. Zbl 1246.46031
Ignat, Radu
6
2012
A zigzag pattern in micromagnetics. Zbl 1248.49064
Ignat, Radu; Moser, Roger
3
2012
A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041
Ignat, Radu; Otto, Felix
12
2011
Lower bound for the energy of Bloch walls in micromagnetics. Zbl 1251.78003
Ignat, Radu; Merlet, Benoît
9
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
13
2010
A \(\Gamma \)-convergence result for Néel walls in micromagnetics. Zbl 1175.49014
Ignat, Radu
7
2009
A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011
Ignat, Radu; Otto, Felix
16
2008
A survey of some new results in ferromagnetic thin films. Zbl 1180.35497
Ignat, Radu
3
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
48
2006
Energy expansion and vortex location for a two-dimensional rotating Bose-Einstein condensate. Zbl 1105.82030
Ignat, Radu; Millot, Vincent
28
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
6
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 158 Authors

33 Ignat, Radu
11 Canevari, Giacomo
11 Slastikov, Valeriy V.
10 Lamy, Xavier
10 Zarnescu, Arghir Dani
7 Liu, Zuhan
7 Nguyen, Luc
6 Aftalion, Amandine
6 Correggi, Michele
6 Majumdar, Apala
6 Merlet, Benoît
6 Millot, Vincent
6 Orlandi, Giandomenico
6 Pelinovsky, Dmitry Efimovich
6 Rougerie, Nicolas
5 Yngvason, Jakob
4 Gallo, Clément
4 Golovaty, Dmitry
4 Moser, Roger
4 Mucci, Domenico
4 Otto, Felix
4 Poliakovsky, Arkady
4 Royo-Letelier, Jimena
4 Sourdis, Christos
3 Alama, Stan
3 Bronsard, Lia
3 Di Fratta, Giovanni
3 Döring, Lukas
3 Goldman, Michael
3 Jerrard, Robert Leon
3 Karali, Georgia D.
3 Knüpfer, Hans
3 Lorent, Andrew
3 Mironescu, Petru
3 Muratov, Cyrill B.
3 Pisante, Adriano
3 Robbins, Jonathan M.
3 Smyrnelis, Panayotis
2 Bochard, Pierre
2 Brézis, Haïm
2 Clerc, Marcel G.
2 Giaquinta, Mariano
2 Guo, Yujin
2 Kevrekidis, Panayotis G.
2 Kowalczyk, Michał
2 Kurzke, Matthias W.
2 Lund, Ross G.
2 Luo, Yong
2 Melcher, Christof
2 Monteil, Antonin
2 Montero, José Alberto
2 Novack, Michael R.
2 Peng, Guanying
2 Pinsker, Florian
2 Privat, Yannick
2 Rodiac, Rémy
2 Segatti, Antonio
2 Shafrir, Itai
2 Sternberg, Peter J.
2 Trélat, Emmanuel
2 Venkatraman, Raghavendra
2 Wang, Wei
2 Zhang, Pingwen
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 Bedford, Stephen
1 Chambolle, Antonin
1 Chen, Wei
1 Chiarini, Leandro
1 Cicalese, Marco
1 Contreras Hip, Andres A.
1 Contreras, Andres A.
1 Côte, Raphaël
1 Curcă, Eduard
1 Dávila, Juan Diego
1 De Anna, Francesco
1 De Lellis, Camillo
1 De Luca, Lucia
1 De Marco, Giuseppe
1 Dimonte, Daniele
1 Dinh, Van Duong
1 Dipasquale, Federico
1 Fang, Lidong
1 Farina, Alberto
1 Ferreira, Rita
1 Gao, Yuan
1 García-Azpeitia, Carlos
1 Geng, Zhiyuan
1 Han, Qi
1 Han, Yucen
1 Helffer, Bernard
1 Howell, Peter D.
1 Kim, Kwang Ik
1 Kitavtsev, Georgy
1 Kolokolnikov, Theodore
...and 58 more Authors
all top 5

Cited in 51 Serials

26 Archive for Rational Mechanics and Analysis
17 Calculus of Variations and Partial Differential Equations
10 Journal of Functional Analysis
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Communications in Mathematical Physics
6 Journal of Differential Equations
5 Journal of Mathematical Analysis and Applications
5 Journal of Mathematical Physics
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 SIAM Journal on Mathematical Analysis
5 Journal of Nonlinear Science
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Communications in Partial Differential Equations
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 Nonlinearity
2 Reviews in Mathematical Physics
2 Acta Applicandae Mathematicae
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Communications on Pure and Applied Mathematics
1 Houston Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Studies in Applied Mathematics
1 Physica D
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 Forum Mathematicum
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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 Communications in Contemporary Mathematics
1 Advanced Nonlinear Studies
1 Milan Journal of Mathematics
1 International Journal of Geometric Methods in Modern Physics
1 Advances in Calculus of Variations
1 Analysis & PDE
1 Research in the Mathematical Sciences

Citations by Year