TY - JOUR
T1 - Linear stability of the sub-to-super inviscid transonic stationary wave for gas flow in a nozzle of varying area
AU - Hong, John M.
AU - Hsu, Cheng Hsiung
AU - Lin, Ying Chieh
AU - Liu, Weishi
N1 - Funding Information:
E-mail addresses: [email protected] (J.M. Hong), [email protected] (C.-H. Hsu), [email protected] (Y.-C. Lin), [email protected] (W. Liu). 1 Partially supported by National Science Council of Taiwan. 2 Partially supported by National Science Council and NCTS of Taiwan. 3 Partially supported by National Science Foundation of USA Grant DMS-0807327 and University of Kansas GRF 2301264-003.
PY - 2013/2/15
Y1 - 2013/2/15
N2 - In this work we consider the linear stability of the sub-to-super inviscid transonic stationary wave of a one-dimensional model of isentropic compressible flows through a nozzle of varying area. This sub-to-super inviscid transonic stationary wave is newly founded by the authors using the geometric singular perturbation theory. The main result of this work is to show that the sub-to-super inviscid transonic stationary wave is physically relevant in the sense that it is L∞ linearly stable on any bounded space interval as long as its velocity is greater than 1/2 of the sound speed.
AB - In this work we consider the linear stability of the sub-to-super inviscid transonic stationary wave of a one-dimensional model of isentropic compressible flows through a nozzle of varying area. This sub-to-super inviscid transonic stationary wave is newly founded by the authors using the geometric singular perturbation theory. The main result of this work is to show that the sub-to-super inviscid transonic stationary wave is physically relevant in the sense that it is L∞ linearly stable on any bounded space interval as long as its velocity is greater than 1/2 of the sound speed.
KW - Geometric singular perturbation theory
KW - Sobolev's embedding theorem
KW - Sub-to-super inviscid transonic stationary wave
UR - http://www.scopus.com/inward/record.url?scp=84871408778&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2012.11.011
DO - 10.1016/j.jde.2012.11.011
M3 - 期刊論文
AN - SCOPUS:84871408778
SN - 0022-0396
VL - 254
SP - 1957
EP - 1976
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 4
ER -