4 papers · 1 filter
Unstable Interface Dynamics for Gravity Stokes Flow
Francisco Gancedo, Rafael Granero-Belinchón, Zhongtian Hu +2
We investigate some unstable behavior of the interface given by two incompressible fluids of different densities evolving by the regular Stokes law with gravity force. In the unsta…
Bounds on the Aspect Ratio of the Momentum Support of a 2D Collisionless Plasma
Matthew Hernandez, Neel Patel, Elena Salguero
The relativistic Vlasov-Maxwell system is a kinetic model for collisionless plasmas. For the two-dimensional model, global well-posedness of this model is known and was proven by d…
On the global well-posedness of interface dynamics for gravity Stokes flow
Francisco Gancedo, Rafael Granero-Belinchón, Elena Salguero
In this paper we establish the global-in-time well-posedness for an arbitrary , , initial internal wave for the free boundary gravity Stokes system in two dimension…
Well-posedness of the Kolmogorov two-equation model of turbulence in optimal Sobolev spaces
Ophélie Cuvillier, Francesco Fanelli, Elena Salguero
In this paper, we study the well-posedness of the Kolmogorov two-equation model of turbulence in a periodic domain , for space dimensions . We admit the averag…