Session S22 - Deterministic and probabilistic aspects of nonlinear evolution equations

Wednesday, July 14, 18:20 ~ 18:50 UTC-3

On long time behavior of solutions of the Schrödinger-Korteweg-de Vries system

Argenis Mendez

Centro de Modelamiento Matemático, Universidad de Chile, Chile   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk we are concerned with the decay of long time solutions of the initial value problem associated to the Schrödinger-Korteweg-de Vries system. We use recent techniques in order to show that solutions of this system decay to zero in the energy space. The result is independent of the integrability of the equations involved and it does not require any size assumptions on the initial data.

Joint work with Felipe Linares (Instituto Nacional de Matemática Pura e Aplicada-IMPA, Brazil).

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