Pré-Publication, Document De Travail Année : 2025

THE INCOMPRESSIBLE LIMIT OF THE EULER-MAXWELL TWO-FLUID SYSTEM

La limite incompressible du système d'Euler-Maxwell bi-fluide

Résumé

In this text, the filtering unitary group method developed, among others, by S. Schochet is adapted to prove the existence and well-posedness of modulation equations describing the incompressible limit of the Euler-Maxwell Two-Fluid (EMTF) system. The reduced model captures up to the ion and electron skin depths the long-time behavior of solutions near a constant neutral background with non-zero densities. In the prepared case, the solutions of our asymptotic equations are in one-to-one correspondence with those of incompressible eXtended MagnetoHyDrodynamics (XMHD), hence providing a new basis to the XMHD framework which is currently being studied by physicists through Hamiltonian methods, see P.J. Morrison et al. By this way, we can give a simplified access to many plasma phenomena such as (a form of two-fluid) turbulence, Hall and inertial effects, as well as collisionless magnetic reconnection.

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hal-05375556 , version 1 (20-11-2025)

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  • HAL Id : hal-05375556 , version 1

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Nicolas Besse, Christophe Cheverry. THE INCOMPRESSIBLE LIMIT OF THE EULER-MAXWELL TWO-FLUID SYSTEM. 2025. ⟨hal-05375556⟩
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