On the temporal decay for the Hall-magnetohydrodynamic equations

By Dongho Chae, Maria E. Schonbek. 2013

198 citations recorded by the source corpus.

Abstract We establish temporal decay estimates for weak solutions to the Hall-magnetohydrodynamic equations. With these estimates in hand we obtain algebraic time decay for higher order Sobolev norms of small initial data solutions.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c2c55d522323a7d1484bf7645cd06bc3fb36eaa2

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. Jihoon Lee
3. Dongho Chae
4. Jiahong Wu
5. Hideyuki Miura
6. Taoufik Hmidi
7. Sahbi Keraani
8. Ning Ju

In Mathematical Physics

1. Shangkun Weng
2. Dongho Chae
3. Jihoon Lee
4. Jiahong Wu
5. Hideyuki Miura
6. Ning Ju
7. Peter Constantin
8. Taoufik Hmidi

Citations in the corpus

• Singularity formation for the incompressible Hall-MHD equations without resistivity (2013, methodology): “The temporal decay estimates for weak solutions to Hall-MHD system was established by Chae and Schonbek [5].”
• On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics (2013, background): “solution for small initial data are obtained (see [3, Theorem 2.2 and 2.3]). Very recently, temporal decay for the weak solution and smooth solution with small data to HallMHD are also established in [5]. Our goal of this paperis to improve in an optimal way the blow-up criterion and global existenc”