|Title||Generation of bulk vorticity and current density in current-vortex sheet models|
|Publication Type||Journal Article|
|Year of Publication||2019|
|Authors||Smith SGL, Hattori Y.|
|Type of Article||Article|
|Keywords||Non-uniform current-vortex sheet; physics; Surface Alfven wave|
Matsuoka et al.  present a set of equations governing the evolution of two-dimensional MHD flows using current-vortex sheets. In the resulting model the vorticity omega and current density j are zero except on the current-vortex sheets. We show that this is not true in general and that the term Delta(B x u) in the evolution equation for j does not vanish, leading to the generation of j and omega in the bulk. This means that the evolution of the system is not governed solely by the dynamics of quantities on the current-vortex sheets. A perturbative solution is derived that shows this explicitly.