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Spine for the SQG EquationPDE and Applied Math Seminar
|Speaker: ||Kevin Luli, UC Davis|
|Location: ||1147 MSB|
|Start time: ||Tue, Nov 5 2013, 3:10PM|
We look at solutions of the surface quasi-geostrophic (SQG) equation which are locally constant outside a thin neighborhood of a curve that evolves with time. To such an SQG solution we associate a distinguished curve (called the 'spine'). If the above thin neighborhood has thickness δ, then we prove that the spine satisfies its own evolution equation (equal to the sharp-front equation) modulo errors O(δ2|logδ|). Joint work with C. Fefferman, J. Rodrigo.