Phase transitions in nematics: textures with tactoids and disclinations D Golovaty, YK Kim, OD Lavrentovich, M Novack, P Sternberg Mathematical Modelling of Natural Phenomena 15, 8, 2020 | 18 | 2020 |
A model problem for nematic-isotropic transitions with highly disparate elastic constants D Golovaty, M Novack, P Sternberg, R Venkatraman Archive for Rational Mechanics and Analysis 236 (3), 1739-1805, 2020 | 16 | 2020 |
A novel Landau-de Gennes model with quartic elastic terms D Golovaty, M Novack, P Sternberg European Journal of Applied Mathematics 32 (1), 177-198, 2019 | 16 | 2019 |
Dimension reduction for the Landau--de Gennes model: The vanishing nematic correlation length limit M Novack SIAM Journal on Mathematical Analysis 50 (6), 6007-6048, 2018 | 9 | 2018 |
Least Wasserstein distance between disjoint shapes with perimeter regularization M Novack, I Topaloglu, R Venkatraman Journal of Functional Analysis 284 (1), 109732, 2023 | 4 | 2023 |
Compactness and sharp lower bound for a 2D smectics model M Novack, X Yan Journal of Nonlinear Science 31 (3), 60, 2021 | 3 | 2021 |
Isoperimetric residues and a mesoscale flatness criterion for hypersurfaces with bounded mean curvature F Maggi, M Novack arXiv preprint arXiv:2205.02951, 2022 | 2 | 2022 |
A smectic liquid crystal model in the periodic setting M Novack, X Yan arXiv preprint arXiv:2205.01872, 2022 | 2 | 2022 |
A one-dimensional variational problem for cholesteric liquid crystals with disparate elastic constants D Golovaty, M Novack, P Sternberg Journal of Differential Equations 286, 785-820, 2021 | 2 | 2021 |
A hierarchy of Plateau problems and the approximation of Plateau's laws via the Allen--Cahn equation F Maggi, M Novack, D Restrepo arXiv preprint arXiv:2312.11139, 2023 | 1 | 2023 |
Plateau borders in soap films and Gauss' capillarity theory F Maggi, M Novack, D Restrepo arXiv preprint arXiv:2310.20169, 2023 | 1 | 2023 |
Regularity for Minimizers of a Planar Partitioning Problem with Cusps M Novack arXiv preprint arXiv:2305.11865, 2023 | 1 | 2023 |
Nonlinear approximation of 3D smectic liquid crystals: sharp lower bound and compactness M Novack, X Yan Calculus of Variations and Partial Differential Equations 61 (4), 157, 2022 | 1 | 2022 |
An Infinite Double Bubble Theorem L Bronsard, M Novack arXiv preprint arXiv:2401.08063, 2024 | | 2024 |
On the relaxation of Gauss's capillarity theory under spanning conditions M Novack arXiv preprint arXiv:2311.05603, 2023 | | 2023 |
Rigidity and large volume residues in exterior isoperimetry for convex sets N Fusco, F Maggi, M Morini, M Novack arXiv preprint arXiv:2310.13569, 2023 | | 2023 |
A smectic liquid crystal model in the periodic setting M Novack, X Yan Nonlinear Analysis 228, 113187, 2023 | | 2023 |
Variational Methods in the Mathematics of Liquid Crystals MR Novack Indiana University, 2019 | | 2019 |