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arXiv · 2103.00509

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

Yiya Qiu·Lifeng Zhao
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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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Yiya Qiu, Lifeng Zhao. 2021-02-28. Formation of Multi-Point Singularities of Self-Similar Type for Burgers Equation. https://arxiv.org/abs/2103.00509

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