Phase space of a model of magnetohydrodynamics

Autor:	T. G. Sukacheva, A. O. Kondyukov
Rok vydání:	2015
Předmět:	Analytic semigroup Partial differential equation General Mathematics Mathematical analysis Mathematics::Analysis of PDEs Motion (geometry) Physics::Fluid Dynamics Sobolev space Classical mechanics Phase space Ordinary differential equation Uniqueness Magnetohydrodynamics Analysis Mathematics
Zdroj:	Differential Equations. 51:502-509
ISSN:	1608-3083 0012-2661
DOI:	10.1134/s0012266115040072
Popis:	We describe the phase space of the first initial-boundary value problem for a system of partial differential equations modeling the motion of a viscoelastic incompressible Kelvin-Voigt fluid in the magnetic field of the Earth. By using the theory of semilinear equations of the Sobolev type, we prove the existence and uniqueness of a solution that is a quasistationary semitrajectory.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::71dcc7f4496b6e69c6e2f467be3cc43d https://doi.org/10.1134/s0012266115040072 Zobrazit plný text záznamu Plný text ve formátu PDF