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

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.

preprint2022arXivOpen access
Simão CorreiaRaphaël Côte
math.AP
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Simão CorreiaRaphaël Côte

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