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Your search keyword '"XIAO, QINGKUN"' showing total 18 results
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18 results on '"XIAO, QINGKUN"'

5. An exact solution for geophysical trapped waves in the presence of an underlying current

Author

Fan, Lili, Gao, Hongjun, and Xiao, Qingkun

Subjects
Mathematics - Analysis of PDEs
Abstract

In this paper we propose an exact and explicit nonlinear solution to the governing equations which retains all the Coriolis terms. In the presence of an underlying current, we seek the trapped waves induced by these solutions in Northern and Southern hemisphere respectively, showing that the retention of the Coriolis force in the governing equations affects significantly the range of the admissible following and adverse currents., Comment: 13 pages

Published
2017

18. Bifurcation in the Swift–Hohenberg Equation

Author

Xiao, Qingkun and Gao, Hongjun

Abstract

This paper is concerned with the asymptotic behavior of the solutions u(x, t) of the Swift–Hohenberg equation with quintic polynomial on the cylindrical domain Q=(0,L)×R+. With the control parameter α in the Swift–Hohenberg equation and the length L of the domain regarded as bifurcation parameters, branches of nontrivial solutions bifurcating from the trivial solution at certain points are shown. Local behavior of these branches is also investigated. With the help of a center manifold analysis, two types of structures in the bifurcation diagrams are presented when the bifurcation points are close, and their stabilities are analyzed.

Published
2016
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