A regularity criterion for the 2D MHD and viscoelastic fluid equations

• Autorzy: Zhuan Ye
• Języki publikacji: EN

Abstrakty

EN

This paper is dedicated to a regularity criterion for the 2D MHD equations and viscoelastic equations. We prove that if the magnetic field B, respectively the local deformation gradient F, satisfies
$∇B, ∇F ∈ L^{q}(0,T;L^{p}(ℝ²))$
for 1/p + 1/q = 1 and 2 < p ≤ ∞, then the corresponding local solution can be extended beyond time T.

Kategorie tematyczne

• 76A10: Viscoelastic fluids
• 35B44: Blow-up
• 35Q35: PDEs in connection with fluid mechanics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 114
• Numer: 2
• Strony: 123-131

Daty

wydano

2015

Twórcy

autor

Zhuan Ye

• School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People's Republic of China

Identyfikatory

DOI

10.4064/ap114-2-3