Long Time Existence of Entropy Solutions to the One-Dimensional Non-isentropic Euler Equations with Periodic Initial Data
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0807-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0807-0 | ||
| 245 | 0 | 0 | |a Long Time Existence of Entropy Solutions to the One-Dimensional Non-isentropic Euler Equations with Periodic Initial Data |h [Elektronische Daten] |c [Peng Qu, Zhouping Xin] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Qu |D Peng |u The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong, Hong Kong |4 aut | |
| 700 | 1 | |a Xin |D Zhouping |u The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong, Hong Kong |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/1(2015-04-01), 221-259 |x 0003-9527 |q 216:1<221 |1 2015 |2 216 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0807-0 |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/s00205-014-0807-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Qu |D Peng |u The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong, Hong Kong |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Xin |D Zhouping |u The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong, Hong Kong |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/1(2015-04-01), 221-259 |x 0003-9527 |q 216:1<221 |1 2015 |2 216 |o 205 | ||