Solutions to the 2D Euler equations with velocity unbounded at infinity |
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Authors: | Elaine Cozzi |
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Institution: | Department of Mathematics, Oregon State University, United States |
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Abstract: | We prove existence of solutions to the two-dimensional Euler equations with vorticity bounded and with velocity locally bounded but growing at infinity at a rate slower than a power of the logarithmic function. We place no integrability conditions on the initial vorticity. This result improves upon a result of Serfati which gives existence of a solution to the two-dimensional Euler equations with bounded velocity and vorticity. |
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Keywords: | Fluid mechanics Euler equations |
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