Michael Novack

  • Assistant Professor of Applied Mathematics

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Education

  • B.S. Mathematics, University of Illinois
  • Ph.D. Mathematics, Indiana University

Research Interests

  • Calculus of variations
  • Geometric measure theory
  • Partial differential equations

Publications

  1. "On the Non-Uniqueness of Locally Minimizing Clusters via Singular Cones;" L. Bronsard , R. Neumayer , M. Novack, and A. Skorobogatova, submitted for publication (2025).

  2. "Free Boundary Regularity for Semilinear Variational Problems with a Topological Constraint,; M. Novack, D. Restrepo , A. Skorobogatova, submitted for publication (2024).

  3. "An Infinite Double Bubble Theorem;" L. Bronsard , M. Novack;  Annales de l'Institut Henri Poincaré C Analyse Non Linéaire (2025). 

  4. "A Hierarchy of Plateau Problems and the Approximation of Plateau's Laws via the Allen-Cahn Equation;" F. Maggi , M. Novack, D. Restrepo, submitted for publication (2023).

  5. "On the Relaxation of Gauss's Capillarity Theory Under Spanning Conditions," M. Novack. Journal of Geometric Analysis 34 (2024), no. 228.

  6. "Plateau Borders in Soap Films and Gauss' Capillarity Theory;" F. Maggi , M. Novack, D. Restrepo; submitted for publication (2023).

  7. "Rigidity and Large Volume Residues in Exterior Isoperimetry for Convex Sets;" N. Fusco , F. Maggi , M. Morini , M. Novack; Advances in Mathematics 453 (2024).

  8. "Regularity for Minimizers of a Planar Partitioning Problem with Cusps," M. Novack, Calculus of Variations and Partial Differential Equations 64 (2025), no. 68.

  9. "Isoperimetric Residues and a Mesoscale Flatness Criterion for Hypersurfaces with Bounded Mean Curvature;" F. Maggi , M. Novack; Archive for Rational Mechanics and Analysis 248 (2024), no. 87  (2024). 

  10. "A Smectic Liquid Crystal Model in the Periodic Setting;" M. Novack, X. Yan; Nonlinear Analysis 228 (2023).

  11. "Least Wasserstein Distance Between Disjoint Shapes with Perimeter Regularization;" M. Novack, I. Topaloglu , R. Venkatraman; Journal of Functional Analysis 284 (2023), issue 1.

  12. "Nonlinear Approximation of 3D Smectic Liquid Crystals: Sharp Lower Bound and Compactness;" M. Novack, X. Yan; Calculus of Variations and Partial Differential Equations 61 (2022), no. 157.

  13. "A One-Dimensional Variational Problem for Cholesteric Liquid Crystals with Disparate Elastic Constants;" D. Golovaty , M. Novack, P. Sternberg; Journal of Differential Equations 286 (2021), 785-820.

  14. "Compactness and Sharp Lower Bound for a 2D Smectics Model;" M. Novack, X. Yan; Journal of Nonlinear Science 31 (2021), no. 60.

  15. "A Novel Landau-de Gennes Model with Quartic Elastic Terms;"D. Golovaty , M. Novack, P. Sternberg; European Journal of Applied Mathematics 32 (2020), no. 1, 177-198.

  16. "Phase Transitions in Nematics: Textures with Tactoids and Disclinations;" D. Golovaty , Y.-K. Kim , O. Lavrentovich , M. Novack, P. Sternberg; Mathematical Modelling of Natural Phenomena 15 (2020) no. 8.

  17.  "A Model Problem for Nematic-Isotropic Phase Transitions with Highly Disparate Elastic Constants;" D. Golovaty , M. Novack, P. Sternberg , R. Venkatraman; Archive for Rational Mechanics and Analysis 236 (2020), no. 3, 1739–1805.

  18. "Dimension Reduction for the Landau-de Gennes Model: The Vanishing Nematic Correlation Length Limit;" M. Novack. SIAM Journal on Mathematical Analysis 50 (2018), no. 6, 6007–6048.