caa a22 4500 605515336 CHVBK 20210128100708.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s00205-014-0784-3 doi (NATIONALLICENCE)springer-10.1007/s00205-014-0784-3 Diffusion Limit of Kinetic Equations for Multiple Species Charged Particles [Elektronische Daten] [Hao Wu, Tai-Chia Lin, Chun Liu] In ionic solutions, there are multi-species charged particles (ions) with different properties like mass, charge etc. Macroscopic continuum models like the Poisson-Nernst-Planck (PNP) systems have been extensively used to describe the transport and distribution of ionic species in the solvent. Starting from the kinetic theory for the ion transport, we study a Vlasov-Poisson-Fokker-Planck (VPFP) system in a bounded domain with reflection boundary conditions for charge distributions and prove that the global renormalized solutions of the VPFP system converge to the global weak solutions of the PNP system, as the small parameter related to the scaled thermal velocity and mean free path tends to zero. Our results may justify the PNP system as a macroscopic model for the transport of multi-species ions in dilute solutions. Springer-Verlag Berlin Heidelberg, 2014 Wu Hao Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, 200433, Shanghai, China aut Lin Tai-Chia Department of Mathematics, National Taiwan University, No.1, Sec. 4, Roosevelt Road, Taipei 106, Taiwan aut Liu Chun Department of Mathematics, Penn State University, 16802, State College, PA, USA aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 215/2(2015-02-01), 419-441 0003-9527 215:2<419 2015 215 205 https://doi.org/10.1007/s00205-014-0784-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-014-0784-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wu Hao Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, 200433, Shanghai, China aut NATIONALLICENCE 700 1- Lin Tai-Chia Department of Mathematics, National Taiwan University, No.1, Sec. 4, Roosevelt Road, Taipei 106, Taiwan aut NATIONALLICENCE 700 1- Liu Chun Department of Mathematics, Penn State University, 16802, State College, PA, USA aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 215/2(2015-02-01), 419-441 0003-9527 215:2<419 2015 215 205