Abstract
The mathematical question of the existence of structure of shock waves in a model of two fluids is stated in terms of a four-dimensional system of ordinary differential equations, which depends on four viscosity parameters. In this paper, by using the Conley theory, we prove that in this model the fast, the slow, the switch-on and the switch-off shock waves always admit structure. However, in the presence of electrical field, none of the intermediate shock waves possess structure. Some limiting cases for singular viscosity parameters are investigated. In particular, we show how the general results in the classical one fluid MHD theory can be obtained when the plasma viscosity tends to zero. (author). 18 refs, 3 figs.
Citation Formats
Hesaaraki, M.
The structure of MFD shock waves in a model of two fluids.
IAEA: N. p.,
1991.
Web.
Hesaaraki, M.
The structure of MFD shock waves in a model of two fluids.
IAEA.
Hesaaraki, M.
1991.
"The structure of MFD shock waves in a model of two fluids."
IAEA.
@misc{etde_10132916,
title = {The structure of MFD shock waves in a model of two fluids}
author = {Hesaaraki, M}
abstractNote = {The mathematical question of the existence of structure of shock waves in a model of two fluids is stated in terms of a four-dimensional system of ordinary differential equations, which depends on four viscosity parameters. In this paper, by using the Conley theory, we prove that in this model the fast, the slow, the switch-on and the switch-off shock waves always admit structure. However, in the presence of electrical field, none of the intermediate shock waves possess structure. Some limiting cases for singular viscosity parameters are investigated. In particular, we show how the general results in the classical one fluid MHD theory can be obtained when the plasma viscosity tends to zero. (author). 18 refs, 3 figs.}
place = {IAEA}
year = {1991}
month = {Nov}
}
title = {The structure of MFD shock waves in a model of two fluids}
author = {Hesaaraki, M}
abstractNote = {The mathematical question of the existence of structure of shock waves in a model of two fluids is stated in terms of a four-dimensional system of ordinary differential equations, which depends on four viscosity parameters. In this paper, by using the Conley theory, we prove that in this model the fast, the slow, the switch-on and the switch-off shock waves always admit structure. However, in the presence of electrical field, none of the intermediate shock waves possess structure. Some limiting cases for singular viscosity parameters are investigated. In particular, we show how the general results in the classical one fluid MHD theory can be obtained when the plasma viscosity tends to zero. (author). 18 refs, 3 figs.}
place = {IAEA}
year = {1991}
month = {Nov}
}