On incompressible magnetohydrodynamic equations in terms of differential forms
Year: 2026
Type: article
Abstract: Magnetohydrodynamic offers examples of non-scalar advection-diffusion problems which are relevant for applications. We consider its formulation in terms of differential forms, with the presence of operators such as the exterior derivative and Lie’s derivative, being aware of the underneath analogy between electromagnetic dynamic and incompressible fluid dynamic. We analyze the intrinsic structure of the magnetic and fluid coupling, with a special attention to the Laplace’s force. Taking the cue from [11] we focus on the density of virtual power associated with each of the involved forces.
Source: Computers & Fluids
Authors: Ana Alonso Rodríguez, Francesca Rapetti
Institutions: University of Trento, Centre National de la Recherche Scientifique, Institut national de recherche en sciences et technologies du numérique, Université Côte d'Azur, Laboratoire Jean-Alexandre Dieudonné, CASTOR: Contrôle du plAsma et de ses inSTabilités, Optimisation et Réduction de modèle
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,700
OpenAlex ID: W4416920996