Angled Crested Like Water Waves with Surface Tension II: Zero Surface Tension Limit Geraldine Monaghan each of which reflects its

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Angled Crested Like Water Waves with Surface Tension II: Zero Surface Tension Limit Geraldine Monaghan each of which reflects itsThis is the second paper in a series of papers analyzing angled crested like water waves with surface tension. We consider the 2D capillary gravity water wave equation and assume that the fluid is inviscid, incompressible, irrotational and the air density is zero. In the first paper we constructed a weighted energy which generalizes the energy of Kinsey and Wu to the case of non zero surface tension, and proved a local wellposedness result. In this