Global regularity for the 3D MHD system with damping

• Autorzy: Zujin Zhang , Xian Yang
• Języki publikacji: EN

Abstrakty

EN

We study the Cauchy problem for the 3D MHD system with damping terms $ε|u|^{α -1}u$ and $δ|b|^{β -1}b$ (ε, δ > 0 and α, β ≥ 1), and show that the strong solution exists globally for any α, β > 3. This improves the previous results significantly.

Kategorie tematyczne

• 76D03: Existence, uniqueness, and regularity theory
• 35B35: Stability
• 35B65: Smoothness and regularity of solutions
• 35Q35: PDEs in connection with fluid mechanics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 145
• Numer: 1
• Strony: 107-110

Daty

wydano

2016

Twórcy

autor

Zujin Zhang

• School of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, Jiangxi, P.R. China

autor

Xian Yang

• Foreign Languages Department, Ganzhou Teachers College, Ganzhou 341000, Jiangxi, P.R. China

Identyfikatory

DOI

10.4064/cm6654-9-2015