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Jacob Bedrossian
See here for a CV.
Preprints
Accepted papers
Jacob Bedrossian, Roberta Bianchini, Michele Coti Zelati, Michele Dolce. Nonlinear inviscid damping and shear-buoyancy instability in the two-dimensional Boussinesq equations . arXiv:2103.13713. Comm. Pure and Appl. Math. 2021
Sanjukta Krishnagopal, Jacob Bedrossian Preserving Data Manifold Structure in Latent Space for Exploration through Network Geodesics . arXiv:2010.01037.IJCNN 2022 (Inter. Joint Conf. Neural Networks).
Jacob Bedrossian, Nader Masmoudi, Clement Mouhot. Linearized wave-damping structure of Vlasov-Poisson in R3 . arXiv:2007.08580. SIAM J. of Math. Anal. 2020.
Jacob Bedrossian, Maria Pia Gualdani, Stanley Snelson. Non-existence of some approximately self-similar singularities for the Landau, Vlasov-Poisson-Landau, and Boltzmann equations . arXiv:2105.03942. Trans. of the AMS. 2021
Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith. A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations . arXiv:2007.15827. Invent. Math. 2020.
Jacob Bedrossian, Pierre Germain, Benjamin Harrop-Griffiths. Vortex filament solutions of the Navier-Stokes equations . arXiv:1809.04109. Comm. Pure and Appl. Math. 2018
Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith. Lagrangian chaos and scalar advection in stochastic fluid mechanics . arXiv:1809.06484. J. Euro. Math. Soc. 2018
Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith. Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations . arXiv:1905.03869. Annals of Probability. 2019
Jacob Bedrossian, Kyle Liss. Quantitative spectral gaps and uniform lower bounds in the small noise limit for Markov semigroups generated by hypoellipcit stochastic differential equations . arXiv:2007.13297. Probability and Mathematical Physics. 2020.
Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith. The Batchelor spectrum of passive scalar turbulence in stochastic fluid mechanics at fixed Reynolds number . arXiv:1911.11014. Comm. Pure Appl. Math. 2019.
Jacob Bedrossian, William Golding. Uniqueness Criteria for the Oseen Vortex in the 3d Navier-Stokes Equations . arXiv:2004.07302. Comm. Part. Diff. Eqns. 2020
Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith. Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection-diffusion by stochastic Navier-Stokes . Probability Theory and Related Fields. 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 . Comm. Math. Phys.. arXiv:1909.07230. 2019
Jacob Bedrossian Nonlinear echoes and Landau damping with insufficient regularity . Tunis. J. Math.. arXiv:1605.06841 2016
Jacob Bedrossian, Michele Coti Zelati, Samuel Punshon-Smith, Franziska Weber. Sufficient conditions for dual cascade flux laws in the stochastic 2d Navier-Stokes equations . Arch. Rat. Mech. Anal.. arXiv:1905.03299. 2019
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, Michele Coti Zelati, Samuel 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, 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 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, 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, Siming He Suppression of blow-up in Patlak-Keller-Segel via shear flows , SIAM J. Math. Anal.. arXiv:1609.02866 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 2015.
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 2016.
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 2015.
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 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, 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 papers