Matthew Novack

Assistant Professor

Purdue University, Department of Mathematics

mdnovack "at" purdue "dot" edu

About Me

I am an assistant professor in the Department of Mathematics at Purdue University.  My research interests lie in partial differential equations, particularly those arising in fluid dynamics and related fields. 

My CV can be found here.  In recent years I was a postdoc at New York University, MSRI, and IAS.  I completed my Ph.D. at the University of Texas-Austin in 2019.

My research is partially supported by the National Science Foundation, Division of Mathematical Sciences, through NSF Grant DMS-2307357 .

Publications

15.  D. Albritton, J. Bedrossian, M. Novack - Kinetic shock profiles for the Landau equation.  arXiv .

14.  M. Novack - Scaling laws and exact results in turbulence.  arXiv .

13.  V. Giri, H. Kwon, and M. Novack - The L3-based strong Onsager theorem.  arXiv .

12.  V. Giri, H. Kwon, and M. Novack - A wavelet-inspired, L3-based convex integration framework for the Euler equations.  arXiv .

11.  M. Novack and V. Vicol - An Intermittent Onsager Theorem - arXiv . Inventiones mathematicae, Volume 233, 2023 .

10.  R. Beekie and M. Novack - Non-conservative Solutions to the Euler-alpha Equations - arXiv . Journal of Mathematical Fluid Mechanics, Volume 25, Article number 22 (2023) .

9.  D. Albritton, S. Armstrong, J.-C. Mourrat, and M. Novack - Variational Methods for the Kinetic Fokker-Planck Equation - arXiv .  Analysis & PDE, to appear.

8.  I. Kukavica, M. Novack, and V. Vicol - Exact Boundary Controllability for the Ideal Magneto-hydrodynamic Equations - arXiv .  Journal of Differential Equations 318 (2022), 94-112 .

7.  D. Albritton, R. Beekie, and M. Novack - Enhanced Dissipation and Hörmander's Hypoellipticity - arXiv. Journal of Functional Analysis, Volume 283, Issue 3, August 2022 .

6.  T. Buckmaster, N. Masmoudi, M. Novack, and V. Vicol - Non-conservative H^{1/2-} weak solutions of the incompressible 3D Euler equations - arXiv. Annals of Mathematics Studies, AMS 217 .

5.  M. Novack and A. Vasseur - Classical Solutions for the 3D Quasi-Geostrophic System on a Bounded Domain - arXiv.   Physica D, Volume 404 (2020), no. 132362, 8 pp .

4.  M. Novack - Non-uniqueness of Weak Solutions to the 3D Quasi-Geostrophic Equations - arXiv.  SIAM J. Math. Analysis, Volume 52 (2020), no. 4, 3301-3349 .

3.  M. Novack and A. Vasseur - The Inviscid 3D Quasi-Geostrophic System on Bounded Domains - arXiv.  Arch. Rational Mech. Anal.  235 (2020), pp 973-1010) .

2.  M. Novack - On the Weak Solutions to the 3D Inviscid Quasi-Geostrophic System - arXiv.  SIAM J. Math. Anal., 51(3) (2019), 2686–2712 .

1.  M. Novack and A. Vasseur - Global in Time Classical Solutions to the 3D Quasi-Geostrophic System for Large Initial Data - arXiv.  Communications in Mathematical Physics 358 (2018) Issue 1, pp 237-267 .

Presentations and Talks