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Convergence for a vortex method for solving Euler's equation


Author: Theodore E. Dushane
Journal: Math. Comp. 27 (1973), 719-728
MSC: Primary 76.65
DOI: https://doi.org/10.1090/S0025-5718-1973-0339675-6
MathSciNet review: 0339675
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Abstract: We consider a new vortex approximation for solving the initial-value problem for the Euler equations in two dimensions. We assume there exists a smooth solution to these equations and that the vorticity has compact support. Then we show that our approximation to the velocity field converges uniformly in space and time for a short time interval.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1973-0339675-6
Keywords: Vortex approximation, Euler's equation, two dimensions, incompressible fluid flow, convergence proof
Article copyright: © Copyright 1973 American Mathematical Society

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