Global Regularity for the 2D Magneto-Micropolar Equations with Partial Dissipation

Autor:	Dipendra Regmi, Jiahong Wu
Rok vydání:	2016
Předmět:	Physics 010102 general mathematics Mathematical analysis Motion (geometry) Dissipation Type (model theory) 01 natural sciences Magnetic field Physics::Fluid Dynamics 010101 applied mathematics Sobolev space Compressibility Magnetohydrodynamic drive 0101 mathematics Magneto
Zdroj:	Journal of Mathematical Study. 49:169-194
ISSN:	2617-8702 1006-6837
DOI:	10.4208/jms.v49n2.16.05
Popis:	This paper studies the global existence and regularity of classical solutions to the 2D incompressible magneto-micropolar equations with partial dissipation. The magneto-micropolar equations model the motion of electrically conducting micropo- lar fluids in the presence of a magnetic field. When there is only partial dissipation, the global regularity problem can be quite difficult. We are able to single out three special partial dissipation cases and establish the global regularity for each case. As special consequences, the 2D Navier-Stokes equations, the 2D magnetohydrodynamic equa- tions, and the 2D micropolar equations with several types of partial dissipation always possess global classical solutions. The proofs of our main results rely on anisotropic Sobolev type inequalities and suitable combination and cancellation of terms.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9b907936e231fbe58dcfb973cd42a9c9 https://doi.org/10.4208/jms.v49n2.16.05 Zobrazit plný text záznamu