caa a22 4500 605515522 CHVBK 20210128100709.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s00205-015-0854-1 doi (NATIONALLICENCE)springer-10.1007/s00205-015-0854-1 Shock-Free Solutions of the Compressible Euler Equations [Elektronische Daten] [Geng Chen, Robin Young] We study the structure of shock-free solutions of the compressible Euler equations with large data. We describe conditions under which the rarefactive/ compressive character of solutions changes, and conditions under which the vacuum is formed asymptotically. We present several new examples of shock-free solutions, which demonstrate a large variety of behaviors. Springer-Verlag Berlin Heidelberg, 2015 Chen Geng School of Mathematics, Georgia Institute of Technology, 30332, Atlanta, GA, USA aut Young Robin Department of Mathematics and Statistics, University of Massachusetts, 01003, Amherst, MA, USA aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/3(2015-09-01), 1265-1293 0003-9527 217:3<1265 2015 217 205 https://doi.org/10.1007/s00205-015-0854-1 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/s00205-015-0854-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chen Geng School of Mathematics, Georgia Institute of Technology, 30332, Atlanta, GA, USA aut NATIONALLICENCE 700 1- Young Robin Department of Mathematics and Statistics, University of Massachusetts, 01003, Amherst, MA, USA aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/3(2015-09-01), 1265-1293 0003-9527 217:3<1265 2015 217 205