caa a22 4500 475797116 CHVBK 20180406123727.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/s000330050004 doi (NATIONALLICENCE)springer-10.1007/s000330050004 Zero-relaxation-time limits in the hydrodynamic equations for plasmas revisited [Elektronische Daten] [A. Jüngel, Y.-J. Peng] Abstract.: A rigorous proof of the zero-relaxation-time limits in the hydrodynamic equations for plasmas is given. The equations consist of the Euler equations for the electrons and/or ions coupled with a linear or nonlinear Poisson equation. The proof is based on high energy estimates for the Euler equations and appropriate compactness arguments. The theorem is valid for all adiabatic states for both electrons and ions and thus improves our previous results [9]. Birkhäuser Verlag, Basel,, 2000 Key words. Euler-Poisson system, zero-relaxation-time limits, high energy estimates, compensated compactness, compactness by convexity, plasmas nationallicence Jüngel A. Fachbereich Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, D-10623 Berlin, Germany, e-mail: ungel@math.tu-berlin.de, DE aut Peng Y.-J Laboratoire de Mathématiques Appliquées, CNRS UMR 6620, Université Blaise Pascal, F-63177 Aubière Cedex, France, e-mail: peng@ucfma.univ-bpclermont.fr, FR aut https://doi.org/10.1007/s000330050004 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s000330050004 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jüngel A. Fachbereich Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, D-10623 Berlin, Germany, e-mail: ungel@math.tu-berlin.de, DE aut NATIONALLICENCE 700 1- Peng Y.-J Laboratoire de Mathématiques Appliquées, CNRS UMR 6620, Université Blaise Pascal, F-63177 Aubière Cedex, France, e-mail: peng@ucfma.univ-bpclermont.fr, FR aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer