Keying Guan

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Based on the conception "pseudo-potential" of the incompressible plane flow, an exact solution is given to the Euler's equation with an arbitrarily given potential force. With the KAM theory and the second order Melnikov function, it is proved that this solution describes infinitely many unsteady vortices distributed periodically on the whole plane and the(More)
Keying Guan1 and Zuming Chen2 1 Science College, Northern Jiao Tong University, Beijing 100044, China 2 Science College, Beijing University of Aeronautics and Astronautics, Beijing 100083, China Correspondence should be addressed to Keying Guan, keying.guan@gmail.com Received 15 June 2011; Revised 14 October 2011; Accepted 19 October 2011 Academic Editor:(More)
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