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Spine for the SQG Equation

PDE 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.