The existence and uniqueness of nonstationary ideal incompressible flow in bounded domains in $R_{3}$
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- by H. S. G. Swann
- Trans. Amer. Math. Soc. 179 (1973), 167-180
- DOI: https://doi.org/10.1090/S0002-9947-1973-0326197-8
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Abstract:
It is shown here that the mixed initial-boundary value problem for the Euler equations for ideal flow in bounded domains of ${R_3}$ has a unique solution for a small time interval. The existence of a solution is shown by converting the equations to an equivalent system involving the vorticity and applying Schauder’s fixed point theorem to an appropriate mapping.References
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Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 179 (1973), 167-180
- MSC: Primary 35Q99
- DOI: https://doi.org/10.1090/S0002-9947-1973-0326197-8
- MathSciNet review: 0326197