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arXiv · 1801.02718

Local wellposedness of an approximate equation for SQG fronts

John K. Hunter·Jingyang Shu·Qingtian Zhang
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Abstract

We prove local well-posedness in the Sobolev spaces $\dot H^s(\mathbb{T})$, with $s>7/2$, for an initial value problem for a nonlocal, cubically nonlinear, dispersive equation that provides an approximate description of the evolution of surface quasi-geostrophic (SQG) fronts with small slopes.

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John K. Hunter, Jingyang Shu, Qingtian Zhang. 2018-01-08. Local wellposedness of an approximate equation for SQG fronts. https://doi.org/10.1007/s00021-018-0396-z

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