Well-posedness for an hyperbolic-hyperbolic-elliptic system describing cold plasmas

2023/09/13 by Diego Alonso-Orán, Alonso-Orán, Diego, Rafael Granero-Belinchón +1
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2309.06767

openalex publication_date 2023/09/13 · openalex created_date 2023/09/15 · openalex updated_date 2026/07/28

Abstract

In this short note, we provide the well-posedness for an hyperbolic-hyperbolic-elliptic system of PDEs describing the motion of collision free-plasma in magnetic fields. The proof combines a pointwise estimate together with a bootstrap type of argument for the elliptic part of the system.

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