Jacob Bedrossian
Cathleen Morawetz Postdoctoral Fellow
NSF Postdoctoral Fellow
Courant Institute of Mathematical Sciences,
New York University
office: 523, Warren Weaver Hall
mail: Courant Institute of Mathematical Sciences, New York University,
251 Mercer Street, New York, N.Y. 100121185, USA
email: jacobatcimsdotnyudotedu
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; a useful utility for this is the Enigmail plugin for Thunderbird.
Research interests
Working on a problem related to the stability of hurricanes...during hurricane Sandy...

Most of my work has been devoted to the mathematical analysis of PDEs or variational problems arising from fluid mechanics, solid mechanics, plasma physics or mathematical biology. The remainder of my work is in computational physics. Roughly speaking, it can be divided into one of four categories:
 longtime behaviour of the 2D Euler equations and the Vlasov equations of plasma physics, specifically inviscid damping and Landau damping;
 calculus of variations and energydriven pattern formation;
 local and global theory for the PatlakKellerSegel (PKS) model and its variants;
 scientific computing with a focus on moving or irregular geometry and computational fluid dynamics (CFD)
Preprints
Publications
 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, 2012. To appear in SIMA  SIAM J. Math. Analysis
 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 DCDSA
 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 notes
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.
Teaching
 Fall 2011, Calculus I
 Spring 2012 Honors Calculus II
 Fall 2012, Honors Calculus I
 Spring 2012, Honors Calculus II
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.