Exact Solution of the Plane Flow with Unsteady Vortex and Brownian Motion

Wei Wei Yu; Xuan Guo

doi:10.4028/www.scientific.net/AMR.422.204

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 422Exact Solution of the Plane Flow with Unsteady...

Exact Solution of the Plane Flow with Unsteady Vortex and Brownian Motion

Abstract:

Based on the proposed conception”pseudo-potential” of the incompressible plane flow, an exact solution to the Euler’s equation is given, f can be arbitrarily given potential force. It is proved that the given solution can describe the infinitely many unsteady vortices distributed periodically on the whole plan with the Melnikov function. It is obviously that the Brownian motion appearing along the border region separating different vortices.

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Periodical:

Advanced Materials Research (Volume 422)

Pages:

204-207

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.422.204

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Online since:

December 2011

Authors:

Wei Wei Yu, Xuan Guo

Keywords:

Brownian Motion, Euler’s Equation, Melnikov Function, Pseudo-Potential, Unsteady Vortex

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