41 citations · 97 across the 7 of their papers we have counts for
7 papers
Forward and inverse problems in fundamental and applied magnetohydrodynamics
Andre Giesecke, Frank Stefani, Thomas Wondrak +1
This Minireview summarizes the recent efforts to solve forward and inverse problems as they occur in different branches of fundamental and applied magnetohydrodynamics. As for the…
Integral equations in MHD: theory and application
Frank Stefani, Mingtian Xu, Gunter Gerbeth +1
The induction equation of kinematic magnetohydrodynamics is mathematically equivalent to a system of integral equations for the magnetic field in the bulk of the fluid and for the…
The integral equation approach to kinematic dynamo theory and its application to dynamo experiments in cylindrical geometry
Mingtian Xu, Frank Stefani, Gunter Gerbeth
The conventional magnetic induction equation that governs hydromagnetic dynamo action is transformed into an equivalent integral equation system. An advantage of this approach is t…
Reversals in nature and the nature of reversals
Frank Stefani, Mingtian Xu, Luca Sorriso-Valvo +2
The asymmetric shape of reversals of the Earth's magnetic field indicates a possible connection with relaxation oscillations as they were early discussed by van der Pol. A simple m…
Why dynamos are prone to reversals
Frank Stefani, Gunter Gerbeth, Uwe Guenther +1
In a recent paper (Phys. Rev. Lett. 94 (2005), 184506; physics/0411050) it was shown that a simple mean-field dynamo model with a spherically symmetric helical turbulence parameter…
Inverse Problems in Magnetohydrodynamics: Theoretical and Experimental Aspects
Frank Stefani, Thomas Gundrum, Gunter Gerbeth +2
We consider inverse problems related to the velocity reconstruction in electrically conducting fluids from externally measured magnetic fields. The underlying theory is presented i…