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arXiv · 2309.06767

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

Diego Alonso-Orán·Rafael Granero-Belinchón
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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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Diego Alonso-Orán, Rafael Granero-Belinchón. 2023-09-13. Well-posedness for an hyperbolic-hyperbolic-elliptic system describing cold plasmas. https://arxiv.org/abs/2309.06767

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