论文标题

在紧凑型歧管中的非本地传输方程式上炸毁

On the blow up of a non-local transport equation in compact manifolds

论文作者

Alonso-Orán, Diego, Martínez, Ángel D.

论文摘要

在本说明中,我们显示了紧凑型riemannian歧管上的一类非本地活动标量方程的有限时间爆炸。 Silvestre和Vicol引入了我们遵循的策略,以处理一维Córdoba-Córdoba-Fontelos方程,并可能被视为De Giorgi方法的实例。

In this note we show finite time blow-up for a class of non-local active scalar equations on compact Riemannian manifolds. The strategy we follow was introduced by Silvestre and Vicol to deal with the one dimensional Córdoba-Córdoba-Fontelos equation and might be regarded as an instance of De Giorgi's method.

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