Small time-periodic solutions of equations of magnetohydrodynamics as a singularly perturbed problem

Štědrý, Milan, and Vejvoda, Otto. "Small time-periodic solutions of equations of magnetohydrodynamics as a singularly perturbed problem." Aplikace matematiky 28.5 (1983): 344-356. <http://eudml.org/doc/15314>.

@article{Štědrý1983,
abstract = {This paper deals with a system of equations describing the motion of viscous electrically conducting incompressible fluid in a bounded three dimensional domain whose boundary is perfectly conducting. The displacement current appearing in Maxwell’s equations, $\epsilon E_t$ is not neglected. It is proved that for a small periodic force and small positive there exists a locally unique periodic solution of the investigated system. For $\epsilon \rightarrow 0$, these solutions are shown to convergeto a solution of the simplified (and usually considered) system of equations of magnetohydrodynamics.},
author = {Štědrý, Milan, Vejvoda, Otto},
journal = {Aplikace matematiky},
keywords = {electrically conducting; bounded three dimensional domain; boundary perfectly conducting; displacement current; Maxwell’s equations; small periodic force; small positive epsilon; locally unique periodic solution; electrically conducting; bounded three dimensional domain; boundary perfectly conducting; displacement current; Maxwell's equations; small periodic force; small positive epsilon; locally unique periodic solution},
language = {eng},
number = {5},
pages = {344-356},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Small time-periodic solutions of equations of magnetohydrodynamics as a singularly perturbed problem},
url = {http://eudml.org/doc/15314},
volume = {28},
year = {1983},
}

TY - JOUR
AU - Štědrý, Milan
AU - Vejvoda, Otto
TI - Small time-periodic solutions of equations of magnetohydrodynamics as a singularly perturbed problem
JO - Aplikace matematiky
PY - 1983
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 28
IS - 5
SP - 344
EP - 356
AB - This paper deals with a system of equations describing the motion of viscous electrically conducting incompressible fluid in a bounded three dimensional domain whose boundary is perfectly conducting. The displacement current appearing in Maxwell’s equations, $\epsilon E_t$ is not neglected. It is proved that for a small periodic force and small positive there exists a locally unique periodic solution of the investigated system. For $\epsilon \rightarrow 0$, these solutions are shown to convergeto a solution of the simplified (and usually considered) system of equations of magnetohydrodynamics.
LA - eng
KW - electrically conducting; bounded three dimensional domain; boundary perfectly conducting; displacement current; Maxwell’s equations; small periodic force; small positive epsilon; locally unique periodic solution; electrically conducting; bounded three dimensional domain; boundary perfectly conducting; displacement current; Maxwell's equations; small periodic force; small positive epsilon; locally unique periodic solution
UR - http://eudml.org/doc/15314
ER -