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arXiv · 2201.03240

Perturbation at blow-up time of self-similar solutions for the modified Korteweg-de Vries equation

Simão Correia·Raphaël Côte
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Abstract

We prove a first stability result of self-similar blow-up for the modified KdV equation on the line. More precisely, given a self-similar solution and a sufficiently small regular profile, there is a unique global solution which behaves at t tends to 0 as the sum of the self-similar solution and the smooth perturbation.

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Simão Correia, Raphaël Côte. 2022-01-10. Perturbation at blow-up time of self-similar solutions for the modified Korteweg-de Vries equation. https://arxiv.org/abs/2201.03240

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