Construction of solutions to the two-dimensional stationary Euler equations by the pseudo-advection method |
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| Authors: | Nishiyama Takahiro |
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| Institution: | (1) Department of Mechanical Engineering, Fukuoka Institute of Technology, 811-0295 Fukuoka, Japan |
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| Abstract: | The finite difference approximation of a nonstationary pseudo-advected
vorticity equation is proved to yield generalized solutions to the
two-dimensional stationary Euler equations with nonvanishing
vorticity. This result is obtained by the simultaneous limiting of
lattice scale and time.Received: 15 May 2002 |
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| Keywords: | 35Q30 65M06 76B03 |
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