Local wellposedness of an approximate equation for SQG fronts
classification
🧮 math.AP
keywords
approximateequationfrontslocalcubicallydescriptiondispersiveevolution
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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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