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Rigorous Asymptotics of the KdV Steplike Solutions

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HY2W06 - Women in dispersive equations day

The long time asymptotics of the steplike solutions of the KdV equation on the constant backgrounds has long been well studied at the physical level of rigor. This talk will present some recent mathematically rigorous results that refine and justify the above-mentioned asymptotics. We  will also compare the efficiency of  the two most common methods—- the Nonlinear Steepest Descent  and the  Inverse Scattering Transform— for obtaining the soliton asymptotics  over a larger space-time domain and for the most general possible class of  steplike initial data.

This talk is part of the Isaac Newton Institute Seminar Series series.

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