arXiv subjects

Hajer Orf

Publications and source records attributed to Hajer Orf.

3 recordsLinked to original sources

arXiv2022

Statistical moments and integrability properties of monatomic gas mixtures with long range interactions

This document presents a priori estimates related to statistical moments and integrability properties for solutions of systems of monatomic gas mixtures modelled with the homogeneous Boltzmann equation with long range interactions for hard potentials. We detail the conditions for the generation and propagation of polynomial and exponential moments, and the integrability in Lebesgue spaces.

math.AP↗

arXiv2019

Long time decay for global solutions to the Navier-Stokes equations in Sobolev-Gevery spaces

In this paper, we prove that if $u\in C([0,\infty), \dot{H}^{1/2}_{a,1}(\mathbb{R}^3))$ is a global solution of 3D incompressible Navier-Stokes equations, then $\|u\|_{\dot{H}^{1/2}_{a,1}}$ decays to zero as time approaches infinity. Fourier analysis and standard techniques are used.

math.AP↗

arXiv2018

On the Blow up criterion of 3D-Navier-Stokes equation in $\dot H^{5/2}$

In this paper, we prove two results about the blow up criterion of the three-dimensional incompressible Navier-Stokes equation in the sobolev space $\dot H^{5/2}$. The first one improves the result of \cite{CZ}. The second deals with the relationship of the blow up in $\dot H^{5/2}$ and some critical spaces. Fourier analysis and standard techniques are used.

math.AP↗