We study an MHD system consisting of the stationary Maxwell equations coupled with the transient Navier-Stokes equations. We prove that a solution exists and is unique for small time and small data. We show that the system may become ill-posed as soon as the fluid velocity becomes too large. ~
On a model with hysteresis arising in magnetohydrodynamics
✍ Scribed by Michela Eleuteri; Jana Kopfová; Pavel Krejčí
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 126 KB
- Volume
- 403
- Category
- Article
- ISSN
- 0921-4526
No coin nor oath required. For personal study only.
✦ Synopsis
We study the flow of a conducting fluid surrounded by a ferromagnetic solid, under the influence of the hysteretic response of the surrounding medium. We assume that this influence can be represented by the Preisach model and show existence of a solution of the resulting nonlinear system of PDEs in the convexity domain of the Preisach operator.
📜 SIMILAR VOLUMES
A nonlinear system of PDEs describing a phase transition phenomenon is introduced. The energy balance equation takes into account the action of the interior dissipative forces driven by the microscopic movements of particles. Moreover, it is assumed that the phase transition process is characterized
In the light of recent analytical results on the MHD Riemann problem, Godunovtype numerical schemes for magnetohydrodynamics (MHD) are revisited. As the first step, a model system that exactly preserves the MHD hyperbolic singularities is considered. For this model, analytical results on shock waves
This study presents a novel hysteresis model based on van Genuchten's soil-moisture relationships. The proposed model yields a series of closed-form relationships in which two shape factors ˛and Á are determined from the main drying and wetting curves. Experimental and literature-cited data were use