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- W4299367035 abstract "It has been thought for a while that the Prandtl system is only well-posed under the Oleinik monotonicity assumption or under an analyticity assumption. We show that the Prandtl system is actually locally well-posed for data that belong to the Gevrey class 7/4 in the horizontal variable x. Our result improves the classical local well-posedness result for data that are analytic in x (that is Gevrey class 1). The proof uses new estimates, based on non-quadratic energy functionals." @default.
- W4299367035 created "2022-10-02" @default.
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- W4299367035 date "2013-05-01" @default.
- W4299367035 modified "2023-10-01" @default.
- W4299367035 title "Well-posedness for the Prandtl system without analyticity or monotonicity" @default.
- W4299367035 doi "https://doi.org/10.48550/arxiv.1305.0221" @default.
- W4299367035 hasPublicationYear "2013" @default.
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