Diffusion Limit of Kinetic Equations for Multiple Species Charged Particles
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0784-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0784-3 | ||
| 245 | 0 | 0 | |a Diffusion Limit of Kinetic Equations for Multiple Species Charged Particles |h [Elektronische Daten] |c [Hao Wu, Tai-Chia Lin, Chun Liu] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Wu |D Hao |u Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, 200433, Shanghai, China |4 aut | |
| 700 | 1 | |a Lin |D Tai-Chia |u Department of Mathematics, National Taiwan University, No.1, Sec. 4, Roosevelt Road, Taipei 106, Taiwan |4 aut | |
| 700 | 1 | |a Liu |D Chun |u Department of Mathematics, Penn State University, 16802, State College, PA, USA |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/2(2015-02-01), 419-441 |x 0003-9527 |q 215:2<419 |1 2015 |2 215 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0784-3 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0784-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wu |D Hao |u Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, 200433, Shanghai, China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lin |D Tai-Chia |u Department of Mathematics, National Taiwan University, No.1, Sec. 4, Roosevelt Road, Taipei 106, Taiwan |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Liu |D Chun |u Department of Mathematics, Penn State University, 16802, State College, PA, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/2(2015-02-01), 419-441 |x 0003-9527 |q 215:2<419 |1 2015 |2 215 |o 205 | ||