Jacob Bedrossian
Professor
Department of Mathematics
Center for Scientific Computation and Mathematical Modeling
University of Maryland, College Park
Applied Mathematics, Statistics, and Scientific Computation (AMSC) program
Burgers Program for Fluid Dynamics
office: 4129 CSIC and 4413 MATH
mail:
Jacob Bedrossian
The University of Maryland
CSCAMM
4146 CSIC Building #406
Paint Branch Drive
College Park MD 20742-3289, USA
email: jacob-at-cscamm-dot-umd-dot-edu or jacob-at-math-dot-umd-dot-edu
Research interests
My research is focused on the mathematical analysis of both deterministic and stochastic PDEs arising in fluid mechanics and plasma physics. I am currently specifically interested in understanding mixing, turbulence, and the stability of coherent structures in 2D and 3D fluid mechanics at high Reynolds number and Landau damping-related kinetic effects arising in plasmas.
My research is currently funded by an NSF CAREER grant.
For information on the courses I am currently teaching and on past or present reading groups I am involved in, see the below links.
Preprints
- Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith The Batchelor spectrum of passive scalar turbulence in stochastic fluid mechanics . arXiv:1911.11014. 2019
- Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection-diffusion by stochastic Navier-Stokes . arXiv:1911.01561. 2019
- Jacob Bedrossian, Siming He Inviscid damping and enhanced dissipation of the boundary layer for 2D Navier-Stokes linearized around Couette flow in a channel . arXiv:1909.07230. 2019
- Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations . arXiv:1905.03869. 2019
- Jacob Bedrossian, Michele Coti Zelati, Samuel Punshon-Smith, Franziska Weber. Sufficient conditions for dual cascade flux laws in the stochastic 2d Navier-Stokes equations . arXiv:1905.03299. 2019
- Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith Lagrangian chaos and scalar advection in stochastic fluid mechanics . arXiv:1809.06484. 2018
- Jacob Bedrossian, Pierre Germain, Benjamin Harrop-Griffiths Vortex filament solutions of the Navier-Stokes equations . arXiv:1809.04109. 2018
Publications
- Jacob Bedrossian Nonlinear echoes and Landau damping with insufficient regularity. Tunis. J. Math.. arXiv:1605.06841 2016
- Jacob Bedrossian, Fei Wang. The linearized Vlasov and Vlasov-Fokker-Planck equations in a uniform magnetic field . J. of Statistical Physics. arXiv:1805.10756 2018
- Jacob Bedrossian, Pierre Germain, Nader Masmoudi Dynamics near the subcritical transition of the 3D Couette flow II: Above threshold case , Mem. of the AMS. arXiv:1506.03721 2015
- Jacob Bedrossian, Michele Coti Zelati, Vlad Vicol Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations. Annals of PDE. arXiv:1711.03668 2017
- Jacob Bedrossian, Michele Coti Zelati, Sam Punshon-Smith, Franziska Weber. A sufficient condition for the Kolmogorov 4/5 law for stationary martingale solutions to the 3D Navier-Stokes equations. Comm. Math. Phys. arXiv:1711.03668 2018
- Jacob Bedrossian Suppression of plasma echoes and Landau damping in Sobolev spaces by weak collisions in a Vlasov-Fokker-Planck equation, Annals of PDE. arXiv:1704.00425 2017
- Jacob Bedrossian, Pierre Germain, Nader Masmoudi Dynamics near the subcritical transition of the 3D Couette flow I: Below threshold case , Mem. of the AMS. arXiv:1506.03720 2015
- Jacob Bedrossian, Siming He Suppression of blow-up in Patlak-Keller-Segel via shear flows, SIAM J. Math. Anal.. arXiv:1609.02866 2016
- Jacob Bedrossian, Nader Masmoudi, Clement Mouhot Landau damping in finite regularity for unconfined systems with screened interactions , Comm. Pure Appl. Math.. arXiv:1604.05783 2016
- Jacob Bedrossian, Michele Coti Zelati Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows, Arch. Rat. Mech. Anal.. 2015 arXiv:1510.08098
- Jacob Bedrossian, Pierre Germain, Nader Masmoudi On the stability threshold for the 3D Couette flow in Sobolev regularity , Annals of Math.. 2015. arXiv:1511.01373.
- Jacob Bedrossian, Vlad Vicol, Fei Wang The Sobolev stability threshold for 2D shear flows near Couette , J. Nonlinear Science. 2016. arXiv:1604.01831
- Jacob Bedrossian, Michele Coti Zelati, and Nathan Glatt-Holtz Invariant measures for passive scalars in the small noise inviscid limit, Comm. Math. Phys.. arXiv:1505.07356 2015.
- Jacob Bedrossian, Nader Masmoudi and Clement Mouhot Landau damping: paraproducts and Gevrey regularity, Annals of PDE. arXiv:1311.2870 2013.
- Jacob Bedrossian, Nader Masmoudi and Vlad Vicol Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the 2D Couette flow, Arch. Rat. Mech. Anal.. arXiv:1408.4754 2014.
- Jacob Bedrossian, Nader Masmoudi Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations, Publ. Math. l'IHES. arXiv:1306.5028 2013.
- Jacob Bedrossian Large mass global solutions for a class of L1-critical nonlocal aggregation equations and parabolic-elliptic Patlak-Keller-Segel models . Comm. Part. Diff. Eqns.. arXiv:1403.4124 2014.
- Jacob Bedrossian, Nader Masmoudi Existence, Uniqueness and Lipschitz Dependence for Patlak-Keller-Segel and Navier-Stokes in R2 with Measure-valued initial data. Arch. Rat. Mech. Anal.. arXiv:1205.1551 2012.
- Jacob Bedrossian, Robert V. Kohn Blister patterns and energy minimization in compressed thin films on compliant substrates. Comm. Pure Appl. Math.. arXiv:1304.0284 2013.
- Jacob Bedrossian, Inwon Kim Global Existence and Finite Time Blow-Up for Critical Patlak-Keller-Segel Models with Inhomogeneous Diffusion, arXiv:1108.5301. SIAM J. Math. Anal. 45.3 (2013): 934-964.
- Jonas Azzam, Jacob Bedrossian, Bounded Mean Oscillation and the Uniqueness of Active Scalar Equations, Trans. Amer. Math. Soc.. arXiv:1108.2735, 2011
- Jacob Bedrossian, Nancy Rodriguez Inhomogeneous Patlak-Keller-Segel models and Aggregation Equations with Nonlinear Diffusion in R^d. Disc. and Dyn. Sys. B.. arXiv:1108.5167, 2011.
- Jacob Bedrossian, Intermediate asymptotics for critical and supercritical aggregation equations and Patlak-Keller-Segel models. Comm. Math. Sci. arXiv:1009.6187, 2010.
- Jacob Bedrossian, Global minimizers for free energies of subcritical aggregation equations with degenerate diffusion Appl. Math. Lett.. arXiv:1009.5370, 2010.
- Jacob Bedrossian, Nancy Rodriguez, Andrea Bertozzi, Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion, Nonlinearity, Vol. 24, No. 6 (2011)
- Jacob Bedrossian, James H. von Brecht, Siwei Zhu, Eftychios Sifakis, Joseph M. Teran, A virtual node method for Poisson interface problems in irregular domains , Journal of Computational Physics, Volume 229, Issue 18, Pages 6405-6426 (2010)
- Christophe Geuzaine, Jacob Bedrossian, Xavier Antoine, An Amplitude Formulation to Reduce the Pollution Error in the Finite Element Solution of Time-Harmonic Scattering Problems, IEEE Transactions on Magnetics, Vol. 44, No. 4, 2008
Expository materials
- Vlad Vicol and I ran an MSRI summer school titled "Incompressible Fluid Flows at High Reynolds Number"; guest lectures were also made by Roman Shyvdkoy. Videos of the lectures as well as written notes can be found here.
- Jacob Bedrossian, Nader Masmoudi Asymptotic stability for the Couette flow in the 2D Euler equations , arXiv:1309.2035 2013 [Expository note on arXiv:1306.5028] To appear in Appl. Math. Res. Expr.