2016/04/20 by Sebastian Bauer, Bauer, Sebastian
Mathematics · Physics and Astronomy · #35B30 #35L60 #78A40 #82C21 #82C22 #82C40 #82D10 #Analysis of PDEs (math.AP) #Classical mechanics #Electron #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Geodetic datum #Limit (mathematics) #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical physics #Mathematics #Navier-Stokes equation solutions #Optical properties and cooling technologies in crystalline materials #Physics #Plasma #Poisson distribution #Poisson's equation #Quantum mechanics #Relativistic particle #Term (time) #Uniqueness #Vlasov equation #math-ph #math.AP #math.MP #msc:35B30 #msc:35L60 #msc:78A40 #msc:82C21 #msc:82C22 #msc:82C40 #msc:82D10
paper · pdf · doi:10.48550/arxiv.1604.05869
published in arXiv (Cornell University) (Cornell University) · 15 pages
arxiv created 2016/04/20 · openalex publication_date 2016/04/20 · arxiv updated 2016/04/21 · openalex created_date 2022/10/05 · openalex updated_date 2026/08/05
While a fully relativistic collisionless plasma is modeled by the\nVlasov-Maxwell system a good approximation in the non-relativistic limit is\ngiven by the Vlasov-Poisson system. We modify the Vlasov-Poisson system so that\ndamping due to the relativistic effect of radiation reaction is included. We\nprove the existence and uniqueness as well as the higher regularity of local\nclassical solutions. These theorems also include the higher regularity of\nclassical solutions of the Vlasov-Poisson system depending on the regularity of\nthe initial datum.\n