Establishes local well-posedness of the non-periodic gSQG front equation at low regularity (half derivative above scaling for SQG) plus global well-posedness and modified scattering for small rough localized data.
Two dimensional gravit y waves at low regularity i: Energy estimates
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Low regularity well-posedness for the generalized surface quasi-geostrophic front equation
Establishes local well-posedness of the non-periodic gSQG front equation at low regularity (half derivative above scaling for SQG) plus global well-posedness and modified scattering for small rough localized data.