K. Khalil

activity

20172026

most citedA Stochastic Lagrangian particle system for the Navier-Stokes equations

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2026

Strong Ill-posedness of the 2d Incompressible Euler Equation in Critical Besov Spaces

Karim R. Shikh Khalil

We prove strong ill-posedness of the 2d incompressible Euler Equation for velocity field in the critical Besov Spaces $B_{\infty, q}^{1}$ for $1 < q < \infty$ .

math.AP2019

On the $L^{p}$ -theory of vector-valued elliptic operators

K. Khalil, A. Maichine

In this paper, we study vector--valued elliptic operators of the form $L f := div (Q \nabla f) - F \cdot \nabla f + div (C f) - V f$ acting on vector-valued functions $…

math.PR2017★ 2 cited

A Stochastic Lagrangian particle system for the Navier-Stokes equations

Alexei Novikov, Karim Shikh Khalil

This work is based on a formulation of the incompressible Navier-Stokes equations developed by P. Constantin and G.Iyer, where the velocity field of a viscous incompressible fluid…

Strong Ill-posedness of the 2d Incompressible Euler Equation in Critical Besov Spaces

On the Lp-theory of vector-valued elliptic operators

A Stochastic Lagrangian particle system for the Navier-Stokes equations

On the $L^{p}$ -theory of vector-valued elliptic operators