Formation of Multi-Point Singularities of Self-Similar Type for Burgers Equation

Published 28 Feb 2021 in math.AP | (2103.00509v1)

Abstract: In this paper, we constuct the multi-point blowup solutions of self-similar type for the inviscid Burgers equation. The shape and blowup dynamics are precisely described. Moreover, the solutions we construct are stable under small perturbations on initial data restricted in a compact set.

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