Exponential self-similar mixing and loss of regularity for continuity equations

Exponential self-similar mixing and loss of regularity for continuity equations
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连续性方程的指数自相似混合和规律性丧失

DOI:
10.1016/j.crma.2014.08.021
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发表时间:
2014
期刊:
arXiv: Analysis of PDEs
影响因子:
--
通讯作者:
A. Mazzucato
A. Mazzucato
中科院分区:
--
文献类型:
--
作者:
G. Alberti;Gianluca Crippa;A. Mazzucato

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考虑一个被动标量ρ,它被二维环面上的一个与时间相关的无发散速度场u平流,即具有速度场u的连续性方程的解ρ:
Consider a passive scalar ρ, which is advected by a time-dependent, divergence-free velocity field u on the twodimensional torus, ie, a solution ρ to the continuity equation with velocity field u: