Edit Profile (opens in new tab) Ignat, Radu Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 12 single-authored 8 Nguyen, Luc 8 Slastikov, Valeriy V. 8 Zarnescu, Arghir Dani 4 Moser, Roger 4 Otto, Felix 3 Millot, Vincent 2 Döring, Lukas 2 Jerrard, Robert Leon 2 Kurzke, Matthias W. 2 Lamy, Xavier 2 Merlet, Benoît 2 Monteil, Antonin 1 Bochard, Pierre 1 Côte, Raphaël 1 Dávila, Juan 1 De Lellis, Camillo 1 Helffer, Bernard 1 Knüpfer, Hans 1 Miot, Evelyne 1 Poliakovsky, Arkady 1 Zorgati, Hamdi all top 5 Serials 6 Archive for Rational Mechanics and Analysis 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Calculus of Variations and Partial Differential Equations 3 Journal of Functional Analysis 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications on Pure and Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Journal of the European Mathematical Society (JEMS) 1 Houston Journal of Mathematics 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Gazette des Mathématiciens 1 Journal of Differential Equations 1 Communications in Partial Differential Equations 1 Journal of Nonlinear Science 1 Séminaire Équations aux Dérivées Partielles 1 Communications in Contemporary Mathematics 1 Seminar on Fixed Point Theory Cluj-Napoca 1 Journal of Fixed Point Theory and Applications 1 Analysis & PDE 1 Confluentes Mathematici 1 Pure and Applied Functional Analysis all top 5 Fields 39 Partial differential equations (35-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 16 Statistical mechanics, structure of matter (82-XX) 10 Optics, electromagnetic theory (78-XX) 8 Real functions (26-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Fluid mechanics (76-XX) 4 Functional analysis (46-XX) 2 Ordinary differential equations (34-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications 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 1106.58009Ignat, Radu; Millot, Vincent 48 2006 Energy expansion and vortex location for a two-dimensional rotating Bose-Einstein condensate. Zbl 1105.82030Ignat, Radu; Millot, Vincent 28 2006 Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals. Zbl 1308.35213Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir 26 2015 Lifting of BV functions with values in \(S^1\). Zbl 1046.46026Dávila, Juan; Ignat, Radu 24 2003 Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals. Zbl 1321.34035Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir 18 2014 Instability of point defects in a two-dimensional nematic liquid crystal model. Zbl 1351.82110Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir 17 2016 A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011Ignat, Radu; Otto, Felix 16 2008 The space \(\operatorname{BV}(S^2,S^1)\): minimal connection and optimal lifting. Zbl 1083.49030Ignat, Radu 16 2005 Vortex energy and \(360^{\circ }\) Néel walls in thin-film micromagnetics. Zbl 1200.49046Ignat, Radu; Knüpfer, Hans 13 2010 Stability of point defects of degree \(\pm \frac{1}{2}\) in a two-dimensional nematic liquid crystal model. Zbl 1353.82076Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir 13 2016 A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041Ignat, Radu; Otto, Felix 12 2011 Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals. Zbl 1276.35030Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir 12 2013 Entropy method for line-energies. Zbl 1241.49010Ignat, Radu; Merlet, Benoît 10 2012 Lower bound for the energy of Bloch walls in micromagnetics. Zbl 1251.78003Ignat, Radu; Merlet, Benoît 9 2011 Singularities of divergence-free vector fields with values into \(S^1\) or \(S^2\): applications to micromagnetics. Zbl 1262.35194Ignat, Radu 8 2012 A \(\Gamma \)-convergence result for Néel walls in micromagnetics. Zbl 1175.49014Ignat, Radu 7 2009 A regularizing property of the \(2D\)-eikonal equation. Zbl 1327.35062De Lellis, Camillo; Ignat, Radu 7 2015 On an open problem about how to recognize constant functions. Zbl 1082.46022Ignat, 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 1411.49032Ignat, Radu; Lamy, Xavier 6 2019 A thin-film limit in the Landau-Lifshitz-Gilbert equation relevant for the formation of Néel walls. Zbl 1316.35152Côte, Raphaël; Ignat, Radu; Miot, Evelyne 6 2014 Two-dimensional unit-length vector fields of vanishing divergence. Zbl 1246.46031Ignat, Radu 6 2012 Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds. Zbl 1462.35375Ignat, 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 1368.35255Ignat, 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 1301.49124Döring, 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 1398.49003Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir 4 2018 Optimal lifting for BV \(( S^{1}, S^{1})\). Zbl 1069.49030Ignat, Radu 3 2005 A De Giorgi-type conjecture for minimal solutions to a nonlinear Stokes equation. Zbl 1441.35008Ignat, Radu; Monteil, Antonin 3 2020 Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals. Zbl 1444.76017Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir 3 2020 On the uniqueness of minimisers of Ginzburg-Landau functionals. Zbl 1445.35011Ignat, 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 1402.35096Ignat, Radu; Moser, Roger 3 2017 A survey of some new results in ferromagnetic thin films. Zbl 1180.35497Ignat, Radu 3 2008 Interaction energy of domain walls in a nonlocal Ginzburg-Landau type model from micromagnetics. Zbl 1342.35362Ignat, Radu; Moser, Roger 3 2016 A zigzag pattern in micromagnetics. Zbl 1248.49064Ignat, Radu; Moser, Roger 3 2012 Vortices in a 2d rotating Bose–Einstein condensate. Zbl 1072.35566Ignat, Radu; Millot, Vincent 2 2005 On the relation between minimizers of a \(\Gamma\)-limit energy and optimal lifting in \(\text{BV}\)-space. Zbl 1253.49035Ignat, Radu; Poliakovsky, Arkady 2 2007 Gradient vector fields with values into \(S^1\). Zbl 1225.35052Ignat, Radu 2 2011 Global uniform estimate for the modulus of two-dimensional Ginzburg-Landau vortexless solutions with asymptotically infinite boundary energy. Zbl 1437.35646Ignat, Radu; Kurzke, Matthias; Lamy, Xavier 1 2020 The magnetization ripple: a nonlocal stochastic PDE perspective. Zbl 1426.35240Ignat, Radu; Otto, Felix 1 2019 Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds. Zbl 1462.35375Ignat, R.; Jerrard, R. L. 5 2021 A De Giorgi-type conjecture for minimal solutions to a nonlinear Stokes equation. Zbl 1441.35008Ignat, Radu; Monteil, Antonin 3 2020 Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals. Zbl 1444.76017Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir 3 2020 On the uniqueness of minimisers of Ginzburg-Landau functionals. Zbl 1445.35011Ignat, 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 1437.35646Ignat, 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 1411.49032Ignat, Radu; Lamy, Xavier 6 2019 The magnetization ripple: a nonlocal stochastic PDE perspective. Zbl 1426.35240Ignat, 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 1398.49003Ignat, 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 1368.35255Ignat, Radu; Jerrard, Robert L. 5 2017 Néel walls with prescribed winding number and how a nonlocal term can change the energy landscape. Zbl 1402.35096Ignat, Radu; Moser, Roger 3 2017 Instability of point defects in a two-dimensional nematic liquid crystal model. Zbl 1351.82110Ignat, 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 1353.82076Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir 13 2016 Interaction energy of domain walls in a nonlocal Ginzburg-Landau type model from micromagnetics. Zbl 1342.35362Ignat, Radu; Moser, Roger 3 2016 Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals. Zbl 1308.35213Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir 26 2015 A regularizing property of the \(2D\)-eikonal equation. Zbl 1327.35062De Lellis, Camillo; Ignat, Radu 7 2015 Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals. Zbl 1321.34035Ignat, 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 1316.35152Côte, 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 1301.49124Döring, Lukas; Ignat, Radu; Otto, Felix 5 2014 Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals. Zbl 1276.35030Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir 12 2013 Entropy method for line-energies. Zbl 1241.49010Ignat, Radu; Merlet, Benoît 10 2012 Singularities of divergence-free vector fields with values into \(S^1\) or \(S^2\): applications to micromagnetics. Zbl 1262.35194Ignat, Radu 8 2012 Two-dimensional unit-length vector fields of vanishing divergence. Zbl 1246.46031Ignat, Radu 6 2012 A zigzag pattern in micromagnetics. Zbl 1248.49064Ignat, Radu; Moser, Roger 3 2012 A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041Ignat, Radu; Otto, Felix 12 2011 Lower bound for the energy of Bloch walls in micromagnetics. Zbl 1251.78003Ignat, Radu; Merlet, Benoît 9 2011 Gradient vector fields with values into \(S^1\). Zbl 1225.35052Ignat, Radu 2 2011 Vortex energy and \(360^{\circ }\) Néel walls in thin-film micromagnetics. Zbl 1200.49046Ignat, Radu; Knüpfer, Hans 13 2010 A \(\Gamma \)-convergence result for Néel walls in micromagnetics. Zbl 1175.49014Ignat, Radu 7 2009 A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011Ignat, Radu; Otto, Felix 16 2008 A survey of some new results in ferromagnetic thin films. Zbl 1180.35497Ignat, Radu 3 2008 On the relation between minimizers of a \(\Gamma\)-limit energy and optimal lifting in \(\text{BV}\)-space. Zbl 1253.49035Ignat, Radu; Poliakovsky, Arkady 2 2007 The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate. Zbl 1106.58009Ignat, Radu; Millot, Vincent 48 2006 Energy expansion and vortex location for a two-dimensional rotating Bose-Einstein condensate. Zbl 1105.82030Ignat, Radu; Millot, Vincent 28 2006 The space \(\operatorname{BV}(S^2,S^1)\): minimal connection and optimal lifting. Zbl 1083.49030Ignat, Radu 16 2005 On an open problem about how to recognize constant functions. Zbl 1082.46022Ignat, Radu 6 2005 Optimal lifting for BV \(( S^{1}, S^{1})\). Zbl 1069.49030Ignat, Radu 3 2005 Vortices in a 2d rotating Bose–Einstein condensate. Zbl 1072.35566Ignat, Radu; Millot, Vincent 2 2005 Lifting of BV functions with values in \(S^1\). Zbl 1046.46026Dávila, Juan; Ignat, Radu 24 2003 all cited Publications top 5 cited Publications 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 all top 5 Cited in 21 Fields 115 Partial differential equations (35-XX) 67 Statistical mechanics, structure of matter (82-XX) 58 Calculus of variations and optimal control; optimization (49-XX) 38 Fluid mechanics (76-XX) 17 Global analysis, analysis on manifolds (58-XX) 14 Functional analysis (46-XX) 13 Real functions (26-XX) 12 Optics, electromagnetic theory (78-XX) 10 Quantum theory (81-XX) 4 Measure and integration (28-XX) 4 Differential geometry (53-XX) 4 Mechanics of deformable solids (74-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Systems theory; control (93-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year