7 papers
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…
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 with Navier boundary conditions at high Reynolds number when initialized near Couette flow su…
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 and construct smooth, strictly positive initial data that develop a finite time singularity. The -norm…
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 -plane equation near the Couette flow on the plane that combine inviscid damping and the dispersion of Rossby waves. Specif…
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…
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 with small collision frequency . We prove that for -independent pertur…