TY - JOUR
T1 - Time-Periodic Isentropic Supersonic Euler flows in One-Dimensional Ducts Driving by Periodic Boundary Conditions
AU - Yuan, Hairong
N1 - Publisher Copyright:
© 2019, Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences.
PY - 2019/3/1
Y1 - 2019/3/1
N2 - We show existence of time-periodic supersonic solutions in a finite interval, after certain start-up time depending on the length of the interval, to the one space-dimensional isentropic compressible Euler equations, subjected to periodic boundary conditions. Both classical solutions and weak entropy solutions, as well as high-frequency limiting behavior are considered. The proofs depend on the theory of Cauchy problems of genuinely nonlinear hyperbolic systems of conservation laws.
AB - We show existence of time-periodic supersonic solutions in a finite interval, after certain start-up time depending on the length of the interval, to the one space-dimensional isentropic compressible Euler equations, subjected to periodic boundary conditions. Both classical solutions and weak entropy solutions, as well as high-frequency limiting behavior are considered. The proofs depend on the theory of Cauchy problems of genuinely nonlinear hyperbolic systems of conservation laws.
KW - compressible Euler equations
KW - duct
KW - initial-boundary-value problem
KW - isentropic
KW - supersonic flow
KW - time-periodic solution
UR - https://www.scopus.com/pages/publications/85066328289
U2 - 10.1007/s10473-019-0206-6
DO - 10.1007/s10473-019-0206-6
M3 - 文章
AN - SCOPUS:85066328289
SN - 0252-9602
VL - 39
SP - 403
EP - 412
JO - Acta Mathematica Scientia
JF - Acta Mathematica Scientia
IS - 2
ER -