Matthew Novack
Associate Professor
Education
Ph.D. in Mathematics, University of Texas at Austin, May 2019
B.S. in Mathematics, University of Illinois at Urbana-Champaign, May 2013
Research Groups
Analysis and Partial Differential Equations, Partial Differential Equations
Research Area
Fluid mechanics and kinetic theory
Bio
Research Statement:
I am interested in fluid mechanics, kinetic theory, and related equations. I have worked on the Navier-Stokes equations, Euler equations, Landau equation, magnetohydrodynamic equations, the quasigeostophic system, and related models.
Selected Publications
- E. Ashkarian, A. Bhargava, N. Gismondi, and M. Novack. Intermittent singular solutions of the stationary 2D Navier-Stokes equations in sharp Sobolev spaces. Preprint available at https://arxiv.org/abs/2506.00841.
- D. Albritton, J. Bedrossian, and M. Novack. Kinetic shock profiles for the Landau equation. Accepted for publication in Ars Inveniendi Analytica.
- M. Novack. Scaling laws and exact results in turbulence. Nonlinearity, Volume 37, Number 9, 2024.
- V. Giri, H. Kwon, and M. Novack. The L3-based strong Onsager theorem. Accepted for publication in Annals of Mathematics.
- V. Giri, H. Kwon, and M. Novack. A wavelet-inspired, L3-based convex integration framework for the Euler equations. Annals of PDE, Volume 10, Article 19, 2024.
Email: mnovack@nd.edu
Fax: 574-631-6579
Office: 240 Hayes-Healy Center