@article{10902/32774, year = {2024}, month = {1}, url = {https://hdl.handle.net/10902/32774}, 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 argument for the elliptic part of the system.}, organization = {D.A-O is supported by the Spanish MINECO through Juan de la Cierva fellowship FJC2020-046032-I. R.G-B is supported by the project "Mathematical Analysis of Fluids and Applications" Grant PID2019-109348GA-I00 funded by MCIN/AEI/10.13039/501100011033 and acronym "MAFyA". This publication is part of the project PID2019-109348GA-I00 funded by MCIN/AEI/10.13039/501100011033. This publication is also supported by a 2021 Leonardo Grant for Researchers and Cultural Creators, BBVA Foundation, Spain. The BBVA Foundation accepts no responsibility for the opinions, statements, and contents included in the project and/or the results there of, which are entirely the responsibility of the authors. D.A-O and R. G-B are also supported by the project "Análisis Matemático Aplicado y Ecuaciones Diferenciales" Grant PID2022-141187NB-I00 funded by MCIN/AEI and acronym "AMAED".}, publisher = {Elsevier}, publisher = {Applied Mathematics Letters, 2024, 147, 108863}, title = {Well-posedness for an hyperbolic–hyperbolic–elliptic system describing cold plasmas}, author = {Alonso-Orán, Diego and Granero Belinchón, Rafael}, }