Wave-front tracking for the equations of non-isentropic gas dynamics
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| 008 | 210128e20150401xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10231-013-0390-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-013-0390-2 | ||
| 245 | 0 | 0 | |a Wave-front tracking for the equations of non-isentropic gas dynamics |h [Elektronische Daten] |c [Fumioki Asakura, Andrea Corli] |
| 520 | 3 | |a We study the model equations of polytropic gas dynamics, which constitute a system of three hyperbolic conservation laws. Global in time BV solutions were obtained by Liu (Indiana Univ Math J 26(1):147-177, 1977) provided that $$(\gamma - 1)$$ ( γ - 1 ) times the total variation of the initial data is sufficiently small; here $$\gamma $$ γ is the adiabatic coefficient. The aim of this paper is to give an alternative proof by exploiting the Dafermos-Bressan-Risebro wave-front tracking scheme. An original feature is the use of the path decomposition method to obtain pathwise estimates of the approximate solutions; these estimates show the decay properties of the solutions and play a crucial role in proving the stability of the wave-front tracking scheme. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 | ||
| 690 | 7 | |a Hyperbolic systems of conservation laws |2 nationallicence | |
| 690 | 7 | |a Gas dynamics equations |2 nationallicence | |
| 690 | 7 | |a Wave-front tracking |2 nationallicence | |
| 700 | 1 | |a Asakura |D Fumioki |u Department of Engineering Science, Osaka Electro-communication University, Neyagawa, Osaka, Japan |4 aut | |
| 700 | 1 | |a Corli |D Andrea |u Department of Mathematics and Computer Science, University of Ferrara, Ferrara, Italy |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/2(2015-04-01), 581-618 |x 0373-3114 |q 194:2<581 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-013-0390-2 |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/s10231-013-0390-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Asakura |D Fumioki |u Department of Engineering Science, Osaka Electro-communication University, Neyagawa, Osaka, Japan |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Corli |D Andrea |u Department of Mathematics and Computer Science, University of Ferrara, Ferrara, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/2(2015-04-01), 581-618 |x 0373-3114 |q 194:2<581 |1 2015 |2 194 |o 10231 | ||