caa a22 4500 605514933 CHVBK 20210128100706.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s00205-014-0807-0 doi (NATIONALLICENCE)springer-10.1007/s00205-014-0807-0 Long Time Existence of Entropy Solutions to the One-Dimensional Non-isentropic Euler Equations with Periodic Initial Data [Elektronische Daten] [Peng Qu, Zhouping Xin] The non-isentropic Euler system with periodic initial data in $${{\mathbb{R}}^1}$$ R 1 is studied by analyzing wave interactions in a framework of specially chosen Riemann invariants, generalizing Glimm's functionals and applying the method of approximate conservation laws and approximate characteristics. An $${{\mathcal O}(\varepsilon^{-2})}$$ O ( ε - 2 ) lower bound is established for the life span of the entropy solutions with initial data that possess $${\varepsilon}$$ ε variation in each period. Springer-Verlag Berlin Heidelberg, 2014 Qu Peng The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong, Hong Kong aut Xin Zhouping The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong, Hong Kong aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/1(2015-04-01), 221-259 0003-9527 216:1<221 2015 216 205 https://doi.org/10.1007/s00205-014-0807-0 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/s00205-014-0807-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Qu Peng The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong, Hong Kong aut NATIONALLICENCE 700 1- Xin Zhouping The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong, Hong Kong aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/1(2015-04-01), 221-259 0003-9527 216:1<221 2015 216 205