On the convergence to the Navier-Stokes-Maxwell system with solenoidal Ohm's law
Analysis of PDEs
2025-07-17 v1
Abstract
The incompressible Navier-Stokes-Maxwell system with solenoidal Ohm's law can be viewed as as the asymptotic limit of the two-fluid incompressible Navier-Stokes-Maxwell system as the momentum transfer coefficient tends to zero (see [1], Ars\'enio, Ibrahim and Masmoudi, Arch. Ration. Mech. Anal., 2015). We prove this limit rigorously without loss of regularity by using the idea of frequency envelope.
Keywords
Cite
@article{arxiv.2507.11881,
title = {On the convergence to the Navier-Stokes-Maxwell system with solenoidal Ohm's law},
author = {Zihua Guo and Zeng Zhang},
journal= {arXiv preprint arXiv:2507.11881},
year = {2025}
}
Comments
This manuscript has been accepted for publication in Journal of Evolution Equations.The final published version may differ from this arXiv version