Abstract
In this paper, a singularly perturbed problem for the stable fluid flow is considered. As supersonic speed at upper reaches and subsonic speed at lower reaches in a duct, the position of shock layer is analyzed and the asymptotic estimation of solution, is obtained.
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Mo Jiaqi, Singular perturbation for a boundary value problems of fourth order nonlinear differential equation. Chinese Ann. Math. Ser. B, 1987, 8: 80–88.
Mo Jiaqi, A singularly perturbed nonlinear boundary value problem, J. Math. Anal. Appl., 1993, 178 (1): 289–293.
Mo Jiaqi, A class of singularly perturbed boundary value problems for nonlinear differential systems, Systems Sci. Math. Sci. 1999, 12 (1): 55–58.
Mo Jiaqi, The estimation of solution of singularly perturbed boundary value problem for nonlinear equation εy H = ƒ(χ,y,y′,ε). Chinese Ann. Math. Ser. A, 1984, 5: 73–77.
Mo Jiaqi, Singularly perturbation for the initial value problem of nonlinear vector differential equations, Acta Math. Appl. Sinica, 1989, 12 (4): 397–402.
Chang, K. W., Howes, F. A., Nonlinear Singular Perturbation Phenomena: Theory and Applications, Applied Mathematical Science, Vol. 56, 1984.
Kevorkian, J., Cole, J., Perturbation methods in Applied Mathematics, Springer-Verlag, New York, 1981.
de Jager, E. M., Jiang Furu, The Theory of Singular Peturbation, North-Holland Publishing Co., Amsterdam, 1996.
O'Donnell, M.A., Boundary and corner layer behavior in singularly perturbed semilinear systems of boundary value problems, SIAM J. Math. Anal., 1984, 15: 317–332.
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Jiaqi, M. A singularly perturbed problem for stable supersonic flow. Appl. Math. Chin. Univ. 14, 153–157 (1999). https://doi.org/10.1007/s11766-999-0021-2
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DOI: https://doi.org/10.1007/s11766-999-0021-2