Well-posedness for Hall-magnetohydrodynamics

By Dongho Chae, Pierre Degond, Jian‐Guo Liu. 2012

281 citations recorded by the source corpus.

We prove local existence of smooth solutions for large data and global smooth solutions for small data to the incompressible, resitive, viscous or inviscid Hall-MHD model. We also show a Liouville theorem for the stationary solutions.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/e014afeb91e701606a2602aa677b2221fe292c22

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Shangkun Weng
2. Dongho Chae
3. Jiahong Wu
4. Taoufik Hmidi
5. Sahbi Keraani
6. John D. Gibbon
7. Chongsheng Cao
8. Jihoon Lee

In Computational Mechanics

1. Shangkun Weng
2. Dongho Chae

Citations in the corpus

• Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equations (2015, methodology): “The authors in [3] had derived a Liouville theorem for steady Hall-MHD under the condition s (u, h) ∈ L∞(R3) ∩ L 9 2 (R3).”