@Article{CMR-41-250,
author = {Duan , Ben and Zhou , Yan},
title = {Dynamical Stability of Transonic Shock  Solutions to Non-Isentropic Euler Equations},
journal = {Communications in Mathematical Research },
year = {2025},
volume = {41},
number = {3},
pages = {250--270},
abstract = {<p style="text-align: justify;">In this paper, we investigate the dynamical stability of transonic
 shock solutions for the full compressible Euler system in a two dimensional
 nozzle with a symmetric divergent part. Building upon the existence and uniqueness results for steady symmetric transonic shock solutions to the non-isentropic Euler system established in [Z.P. Xin and H.C. Yin, <em>The transonic
 shock in a</em> <em>nozzl</em><em>e, 2</em><em>-D and 3-D complete Euler systems</em>, J. Differential Equations
 245 (2008)], we prove the dynamical stability of the transonic shock solutions
 under small perturbations. More precisely, if the initial unsteady transonic flow
 is located in the symmetric divergent part of the nozzle and the flow is a symmetric small perturbation of the steady transonic flow, we use the characteristic
 method to establish the dynamical stability.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2025-0032},
url = {http://global-sci.org/intro/article_detail/cmr/24469.html}
}