caa a22 4500 605496722 CHVBK 20210128100537.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10231-013-0390-2 doi (NATIONALLICENCE)springer-10.1007/s10231-013-0390-2 Wave-front tracking for the equations of non-isentropic gas dynamics [Elektronische Daten] [Fumioki Asakura, Andrea Corli] 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. Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 Hyperbolic systems of conservation laws nationallicence Gas dynamics equations nationallicence Wave-front tracking nationallicence Asakura Fumioki Department of Engineering Science, Osaka Electro-communication University, Neyagawa, Osaka, Japan aut Corli Andrea Department of Mathematics and Computer Science, University of Ferrara, Ferrara, Italy aut Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/2(2015-04-01), 581-618 0373-3114 194:2<581 2015 194 10231 https://doi.org/10.1007/s10231-013-0390-2 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/s10231-013-0390-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Asakura Fumioki Department of Engineering Science, Osaka Electro-communication University, Neyagawa, Osaka, Japan aut NATIONALLICENCE 700 1- Corli Andrea Department of Mathematics and Computer Science, University of Ferrara, Ferrara, Italy aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/2(2015-04-01), 581-618 0373-3114 194:2<581 2015 194 10231