Formation of singularities for multi-dimensional transport equations with nonlocal velocity

Quansen Jiu; Wanwan Zhang

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arXiv · 2111.01444

Formation of singularities for multi-dimensional transport equations with nonlocal velocity

Quansen Jiu·Wanwan Zhang

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Abstract

This paper is concerned with a class of multi-dimensional transport equations with nonlocal velocity. It is shown that the local smooth solution cannot exist globally in time via the De Giorgi iteration technique.

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Quansen Jiu, Wanwan Zhang. 2021-11-02. Formation of singularities for multi-dimensional transport equations with nonlocal velocity. https://arxiv.org/abs/2111.01444

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