Jacob Bedrossian
Assistant Professor
Sloan Research Fellow
Department of Mathematics
Center for Scientific Computation and Mathematical Modeling
University of Maryland, College Park
office: 4129 CSIC and 4115 MATH
mail:
Jacob Bedrossian
The University of Maryland
CSCAMM
4146 CSIC Building #406
Paint Branch Drive
College Park MD 207423289, USA
email: jacobatcscammdotumddotedu or jacobatmathdotumddotedu
My GnuPG public key id is: 69441DCC, which is available on public keyservers
Consider using public key encryption as a standard tool for secure communication.
Research interests
Working on a problem related to the stability of hurricanes...during hurricane Sandy...

My research is currently focused on understanding mixing and nonlinear stability in fluid mechanics at high Reynolds number and kinetic theory in the collisionless limit (with a specific interest in plasma physics). The rest of my work has been devoted the mathematical analysis of PDEs or variational problems arising from solid mechanics or mathematical biology and computational physics.
My research is currently funded by an NSF CAREER grant, Applied Mathematics grant DMS1462029, and a Sloan Fellowship.
Preprints
 Jacob Bedrossian Nonlinear echoes and Landau damping with insufficient regularity, arXiv:1605.06841 2016
 Jacob Bedrossian, Nader Masmoudi, Clement Mouhot Landau damping in finite regularity for unconfined systems with screened interactions , arXiv:1604.05783 2016
 Jacob Bedrossian, Pierre Germain, Nader Masmoudi On the stability threshold for the 3D Couette flow in Sobolev regularity , arXiv:1511.01373 2015
 Jacob Bedrossian, Michele Coti Zelati Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows, arXiv:1510.08098 2015
 Jacob Bedrossian, Pierre Germain, Nader Masmoudi Dynamics near the subcritical transition of the 3D Couette flow I: Below threshold case , arXiv:1506.03720 2015
 Jacob Bedrossian, Pierre Germain, Nader Masmoudi Dynamics near the subcritical transition of the 3D Couette flow II: Above threshold case , arXiv:1506.03721 2015
Publications
 Jacob Bedrossian, Vlad Vicol, Fei Wang The Sobolev stability threshold for 2D shear flows near Couette , arXiv:1604.01831 2016. To appear in J. Nonlinear Science.
 Jacob Bedrossian, Michele Coti Zelati, and Nathan GlattHoltz Invariant measures for passive scalars in the small noise inviscid limit, arXiv:1505.07356 2015. To appear in CMP  Communications in Mathematical Physics.
 Jacob Bedrossian, Nader Masmoudi and Clement Mouhot Landau damping: paraproducts and Gevrey regularity, arXiv:1311.2870 2013. To appear in Annals of PDE
 Jacob Bedrossian, Nader Masmoudi and Vlad Vicol Enhanced dissipation and inviscid damping in the inviscid limit of the NavierStokes equations near the 2D Couette flow, arXiv:1408.4754 2014. To appear in ARMA  Archive for Rational Mechanics and Analysis
 Jacob Bedrossian, Nader Masmoudi Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations, arXiv:1306.5028 2013. To appear in Publ. Math. l'IHES
 Jacob Bedrossian Large mass global solutions for a class of L1critical nonlocal aggregation equations and parabolicelliptic PatlakKellerSegel models , arXiv:1403.4124 2014. To appear in CPDE  Comm. in Partial Diff. Eqns.
 Jacob Bedrossian, Nader Masmoudi Existence, Uniqueness and Lipschitz Dependence for PatlakKellerSegel and NavierStokes in R2 with Measurevalued initial data, arXiv:1205.1551 2012. To appear in ARMA  Archive for Rational Mechanics and Analysis
 Jacob Bedrossian, Robert V. Kohn Blister patterns and energy minimization in compressed thin films on compliant substrates, arXiv:1304.0284 2013. To appear in CPAM  Communications in Pure and Applied Mathematics
 Jacob Bedrossian, Inwon Kim Global Existence and Finite Time BlowUp for Critical PatlakKellerSegel Models with Inhomogeneous Diffusion, arXiv:1108.5301. SIAM J. Math. Anal. 45.3 (2013): 934964.
 Jonas Azzam, Jacob Bedrossian, Bounded Mean Oscillation and the Uniqueness of Active Scalar Equations, arXiv:1108.2735, 2011. To appear in Trans AMS  Transactions of the American Mathematical Society.
 Jacob Bedrossian, Nancy Rodriguez Inhomogeneous PatlakKellerSegel models and Aggregation Equations with Nonlinear Diffusion in R^d, arXiv:1108.5167, 2011. To appear in DCDSB
 Jacob Bedrossian, Intermediate asymptotics for critical and supercritical aggregation equations and PatlakKellerSegel models arXiv:1009.6187, 2010. CMS  Communications in Mathematical Sciences
 Jacob Bedrossian, Global minimizers for free energies of subcritical aggregation equations with degenerate diffusion arXiv:1009.5370, 2010. AML  Applied Mathematics Letters
 Jacob Bedrossian, Nancy Rodriguez, Andrea Bertozzi, Local and Global WellPosedness for Aggregation Equations and PatlakKellerSegel 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 64056426 (2010)
 Christophe Geuzaine, Jacob Bedrossian, Xavier Antoine, An Amplitude Formulation to Reduce the Pollution Error in the Finite Element Solution of TimeHarmonic 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.
Summer MAPSREU 2016
As part of the MAPS REU in the mathematics department, I am advising 5 students on projects related to mixing and dissipation in fluid mechanics. The students are working on a variety of analysis and computational PDE projects. The talented students are:
 William Golding
 Gareth Johnson
 Chloe Ondracek
 Charlie Parker
 Jenalee Reardon
We would like to acknowledge the University of Maryland supercomputing resources (http://www.it.umd.edu/hpcc) made available for conducting the research. We are specifically using resources available on the Deepthought2 cluster. I would also like to acknowledge the Sloan foundation for providing some funding related to the research.
Seminars and current topics courses
 Spring 2016: Stochastic fluid mechanincs reading course; we have worked through a variety of notes and works on the uniqueness of invariant measures for the 2D stochastically forced NavierStokes equations. Specifically, our aim was to get familiar with the work of Hairer and Mattingly on the topic.
 Fall 2015: Stochastic fluid mechanics reading course; we are mostly working through the book on 2D stochastically forceed NavierStokes by Kuksin and Shirikyan. Email me or Michele Coti Zelati...Next semester we will likely work through Hairer and Mattingly (and the works that led up to this one).
 Spring 2015: WiPs seminar: joint with the MFD group in the Courant institute at NYU, we are currently running a seminar on waves in plasma. The page can be found here ! Email LiseMarie or myself if you would like more information, or simply show up at the seminar at CSCAMM or Courant (depending on your physical location).
Teaching
I am now part of the Applied Mathematics, Statistics and Scientific Computation (AMSC) program!
If you are a graduate or undergraduate student interested in finding an REU project or PhD adviser, feel free to contact me and perhaps we can find something. I am open to advising students interested in the analysis of PDE as well as students who may also interested in doing some computation. Likely topics will be focused in some aspect of fluid mechanics or kinetic theory, tailored by the student interests, my interests, and our mutual expertises
 Math 673  PDE I (Graduate level). See Canvas at myelms.umd.edu for all of the course information, announcements and assignments, Fall 2016
 Math 674  PDE II (Graduate level). See Canvas at myelms.umd.edu for all of the course information, announcements and assignments, Spring 2016
 Math 462  Introduction to PDEs. See Canvas at myelms.umd.edu for all of the course information, announcements and assignments, Fall 2015
 Math 462  Introduction to PDEs. See Canvas at myelms.umd.edu for all of the course information, announcements and assignments, Spring 2015
 Math 858A Special topics in analysis:Long time dynamics of kinetic equations
 Math 410  Advanced Calculus. See Canvas at myelms.umd.edu for all of the course information, announcements and assignments, Fall 2014
 (NYU) Spring 2013, Honors Calculus II
 (NYU) Fall 2013, Honors Calculus I
 (NYU) Spring 2012 Honors Calculus II
 (NYU) Fall 2011, Calculus I
Previous positions
NSF postdoctoral fellow and Cathleen Morawetz postdoctoral fellow at the Courant Institute of Mathematical Sciences at New York University, 20112014.
Education
Ph.D. UCLA 2011, jointly advised by Prof. Andrea Bertozzi and Prof. Joseph Teran.
M.S./B.S Case Western Reserve University 2007, M.S. advised by Prof. Christophe Geuzaine.
RIPS 2010
 I was recently an academic mentor for the Institute for Pure and Applied Mathematics summer Research in Industrial Projects for Students (RIPS) program. Check out this link for more information.