Jacob Bedrossian

activity

20242026

most citedUniform Inviscid Damping and Inviscid Limit of the 2D Navier-Stokes equation with Navier Boundary Conditions

1 citations · 2 across the 9 of their papers we have counts for

collaborators

11 papers

math.AP2026

Formalization of Landau damping in the Vlasov--Poisson equations in Lean

Jacob Bedrossian

We present a formalization in Lean 4 of Mouhot and Villani's theorem on nonlinear Landau damping in $T^{d}$ in all Gevrey regularity indices $s > 1/3$ for small backgrounds.

math.AP2026

Existence of solutions for a model of the Earth's magnetic field

Jacob Bedrossian, Tom Schang, Franziska Weber

We study a physically realistic, whole-core mathematical model of the dynamics in the Earth's core and we prove existence of Leray-Hopf type weak solutions to the model. Our model…

math.AP2026

Finite time singularities in the Landau equation with very hard potentials

Jacob Bedrossian, Jiajie Chen, Maria Pia Gualdani +3

We consider the inhomogeneous Landau equation with $γ \in (3, 2]$ and construct smooth, strictly positive initial data that develop a finite time singularity. The $C^{α}$ -norm o…

math.AP2025

Linear decay of the beta-plane equation near Couette flow on the plane

Jacob Bedrossian, Patrick Flynn, Sameer Iyer

We prove new time decay estimates for the linearized $β$ -plane equation near the Couette flow on the plane that combine inviscid damping and the dispersion of Rossby waves. Specifi…

math.AP2025

Stability threshold of close-to-Couette shear flows with no-slip boundary conditions in 2D

Jacob Bedrossian, Siming He, Sameer Iyer +2

In this paper, we develop a stability threshold theorem for the 2D incompressible Navier-Stokes equations on the channel, supplemented with the no-slip boundary condition. The init…

math.AP2025

Landau damping and the long-time collisionless limit of the Vlasov-Poisson-Landau Equation

Jacob Bedrossian, Weiren Zhao, Ruizhao Zi

In this paper, we study the Vlasov-Poisson-Landau Equations on $T^{3} \times R^{3}$ with small collision frequency $ν ≪ 1$ . We prove that for $ν$ -independent perturba…

math.AP2025

Stability of Stochastically Driven Couette Flow in 2D with Navier Boundary Conditions at high Reynolds number via Averaging Principle

Ryan Arbon, Jacob Bedrossian

We characterize the behavior of stochastic Navier-Stokes on $T \times [- 1, 1]$ with Navier boundary conditions at high Reynolds number when initialized near Couette flow su…

math.AP2024★ 1 cited

Uniform Inviscid Damping and Inviscid Limit of the 2D Navier-Stokes equation with Navier Boundary Conditions

Jacob Bedrossian, Siming He, Sameer Iyer +1

We consider the 2D, incompressible Navier-Stokes equations near the Couette flow, $ω^{(N S)} = 1 + ε ω$ , set on the channel $T \times [- 1, 1]$ , supplemented with Navier boun…

math.AP2024

Pseudo-Gevrey Smoothing for the Passive Scalar Equations near Couette

Jacob Bedrossian, Siming He, Sameer Iyer +1

In this article, we study the regularity theory for two linear equations that are important in fluid dynamics: the passive scalar equation for (time-varying) shear flows close to C…

math.AP2024★ 1 cited

Quantitative Hydrodynamic Stability for Couette Flow on Unbounded Domains with Navier Boundary Conditions

Ryan Arbon, Jacob Bedrossian

We prove a stability threshold theorem for 2D Navier-Stokes on three unbounded domains: the whole plane $R \times R$ , the half plane $\mathbb{R} \times [0,\infty)…

math.AP2024

Landau damping, collisionless limit, and stability threshold for the Vlasov-Poisson equation with nonlinear Fokker-Planck collisions

Jacob Bedrossian, Weiren Zhao, Ruizhao Zi

In this paper, we study the Vlasov-Poisson-Fokker-Planck (VPFP) equation with a small collision frequency $0 < ν ≪ 1$ , exploring the interplay between the regularity and size of p…