2014.07.23 14:38
실적년도 | 2012년 |
---|---|
논문구분 | 국외 |
총저자 | Seung Yeal Ha, Hsiu-Chuan Huang, Wen-Ching Lien |
학술지명 | Quarterly of Applied Mathematics |
권(Vol.) | 72 |
호(No.) | 1 |
게재년월 | 년 월 |
Impact Factor | |
SCI 등재 | SCI |
비고 |
We present the nonlinear stability of spherical self-similar flows arising from the uniform expansion of a spherical piston toward still gas. If the perturbation of the expansion speed of the piston is sufficiently small compared with the strength of the leading shock, a global weak solution of the isentropic compressible Euler system exists in the region between the spherical piston and the leading shock under the structural condition on the shock Mach number and the nondimensional piston speed. Moreover, we show that the perturbed flow tends to the corresponding self-similar flow time-asymptotically. Our analysis is based on the modified Glimm scheme