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Well-posedness for the viscous shallow water equations in critical spaces

Qionglei Chen·Changxing Miao·Zhifei Zhang
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Abstract

In this paper, we prove the existence and uniqueness of the solutions for the 2D viscous shallow water equations with low regularity assumptions on the initial data as well as the initial height bounded away from zero.

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Qionglei Chen, Changxing Miao, Zhifei Zhang. 2006-06-04. Well-posedness for the viscous shallow water equations in critical spaces. https://doi.org/10.1137/060660552

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