A regularity criterion for the 2D MHD and viscoelastic fluid equations
Zhuan Ye
Annales Polonici Mathematici, Tome 113 (2015), p. 123-131 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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∈Lq(0,T;Lp(ℝ²)) for 1/p + 1/q = 1 and 2 < p ≤ ∞, then the corresponding local solution can be extended beyond time T.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:280937 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap114-2-3,
     author = {Zhuan Ye},
     title = {A regularity criterion for the 2D MHD and viscoelastic fluid equations},
     journal = {Annales Polonici Mathematici},
     volume = {113},
     year = {2015},
     pages = {123-131},
     zbl = {1325.35174},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap114-2-3}
}

Zhuan Ye. A regularity criterion for the 2D MHD and viscoelastic fluid equations. Annales Polonici Mathematici, Tome 113 (2015) pp. 123-131. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap114-2-3/