Differential and Integral Equations

Existence and stability of global large strong solutions for the Hall-MHD system

Maicon J. Benvenutti and Lucas C.F. Ferreira

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

We consider the 3D incompressible Hall-MHD system and prove a stability theorem for global large solutions under a suitable integrable hypothesis in which one of the parcels is linked to the Hall term. As a byproduct, a class of global strong solutions is obtained with large velocities and small initial magnetic fields. Moreover, we prove the local-in-time well-posedness of $H^{2} $-strong solutions which improves previous regularity conditions on initial data.

Article information

Source
Differential Integral Equations Volume 29, Number 9/10 (2016), 977-1000.

Dates
First available in Project Euclid: 14 June 2016

Permanent link to this document
https://projecteuclid.org/euclid.die/1465912613

Mathematical Reviews number (MathSciNet)
MR3513590

Zentralblatt MATH identifier
06644058

Subjects
Primary: 35Q35: PDEs in connection with fluid mechanics 76D03: Existence, uniqueness, and regularity theory [See also 35Q30] 35B35: Stability 76E25: Stability and instability of magnetohydrodynamic and electrohydrodynamic flows 76W05: Magnetohydrodynamics and electrohydrodynamics

Citation

Benvenutti, Maicon J.; Ferreira, Lucas C.F. Existence and stability of global large strong solutions for the Hall-MHD system. Differential Integral Equations 29 (2016), no. 9/10, 977--1000. https://projecteuclid.org/euclid.die/1465912613.


Export citation