| The critical velocity for vortex existence in a two-dimensional rotating Bose–Einstein condensate R Ignat, V Millot Journal of Functional Analysis 233 (1), 260-306, 2006 | 103 | 2006 |
| Stability of the melting hedgehog in the Landau–de Gennes theory of nematic liquid crystals R Ignat, L Nguyen, V Slastikov, A Zarnescu Archive for Rational Mechanics and Analysis 215, 633-673, 2015 | 78 | 2015 |
| Energy expansion and vortex location for a two-dimensional rotating Bose–Einstein condensate R Ignat, V Millot Reviews in Mathematical Physics 18 (02), 119-162, 2006 | 68 | 2006 |
| Lifting of BV functions with values in S1 J Dávila, R Ignat Comptes Rendus Mathematique 337 (3), 159-164, 2003 | 52 | 2003 |
| Instability of point defects in a two-dimensional nematic liquid crystal model R Ignat, L Nguyen, V Slastikov, A Zarnescu Annales de l'Institut Henri Poincaré C, Analyse non linéaire 33 (4), 1131-1152, 2016 | 45 | 2016 |
| Uniqueness Results for an ODE Related to a Generalized Ginzburg--Landau Model for Liquid Crystals R Ignat, L Nguyen, V Slastikov, A Zarnescu SIAM Journal on Mathematical Analysis 46 (5), 3390-3425, 2014 | 45 | 2014 |
| Stability of point defects of degree in a two-dimensional nematic liquid crystal model R Ignat, L Nguyen, V Slastikov, A Zarnescu Calculus of Variations and Partial Differential Equations 55, 1-33, 2016 | 40 | 2016 |
| Renormalized energy between vortices in some Ginzburg–Landau models on 2-dimensional Riemannian manifolds R Ignat, RL Jerrard Archive for Rational Mechanics and Analysis 239 (3), 1577-1666, 2021 | 37 | 2021 |
| A compactness result in thin-film micromagnetics and the optimality of the Néel wall R Ignat, F Otto Journal of the European Mathematical Society 10 (4), 909-956, 2008 | 36 | 2008 |
| The space : minimal connection and optimal lifting R Ignat Annales de l'IHP Analyse non linéaire 22 (3), 283-302, 2005 | 34 | 2005 |
| Entropy method for line-energies R Ignat, B Merlet Calculus of Variations and Partial Differential Equations 44, 375-418, 2012 | 31 | 2012 |
| A compactness result for Landau state in thin-film micromagnetics R Ignat, F Otto Annales de l'IHP Analyse non linéaire 28 (2), 247-282, 2011 | 30 | 2011 |
| Vortex energy and 360° Néel walls in thin‐film micromagnetics R Ignat, H Knüpfer Communications on pure and applied mathematics 63 (12), 1677-1724, 2010 | 29 | 2010 |
| On the uniqueness of minimisers of Ginzburg-Landau functionals R Ignat, L Nguyen, V Slastikov, A Zarnescu Ann. Sci. Éc. Norm. Supér. (2020) 53, 589-613, 2017 | 26 | 2017 |
| A Regularizing Property of the 2D-Eikonal Equation C De Lellis, R Ignat Communications in Partial Differential Equations 40 (8), 1543-1557, 2015 | 25 | 2015 |
| Stability of the vortex defect in the Landau–de Gennes theory for nematic liquid crystals R Ignat, L Nguyen, V Slastikov, A Zarnescu Comptes Rendus. Mathématique 351 (13-14), 533-537, 2013 | 25 | 2013 |
| On an open problem about how to recognize constant functions R Ignat Houston J. Math 31 (1), 285-304, 2005 | 24 | 2005 |
| Lower bound for the energy of Bloch walls in micromagnetics R Ignat, B Merlet Archive for rational mechanics and analysis 199 (2), 369-406, 2011 | 23 | 2011 |
| Two-dimensional unit-length vector fields of vanishing divergence R Ignat Journal of Functional Analysis 262 (8), 3465-3494, 2012 | 22 | 2012 |
| A Γ-convergence result for Néel walls in micromagnetics R Ignat Calculus of Variations and Partial Differential Equations 36 (2), 285-316, 2009 | 22 | 2009 |
Arghir Dani ZarnescuBCAM, Basque Center for Applied Mathematics and "Simion Stoilow" Institute of the Romanian AcademyVerified email at bcamath.org