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引用次数: 0
摘要
我们的研究表明，通过 "加速 "松弛增强流，我们可以构造出一种在 t = 1 时平滑但高度奇异的流，这样，对于任何正扩散率，加速流相关的平流-扩散方程都会完全耗散解，在 t = 1 时取任意初始数据为常数函数。
Accelerated relaxation enhancing flows cause total dissipation
We show that by ‘accelerating’ relaxation enhancing flows, one can construct a flow that is smooth on but highly singular at t = 1 so that for any positive diffusivity, the advection–diffusion equation associated to the accelerated flow totally dissipates solutions, taking arbitrary initial data to the constant function at t = 1.
期刊介绍：
Aimed primarily at mathematicians and physicists interested in research on nonlinear phenomena, the journal''s coverage ranges from proofs of important theorems to papers presenting ideas, conjectures and numerical or physical experiments of significant physical and mathematical interest.
Subject coverage:
The journal publishes papers on nonlinear mathematics, mathematical physics, experimental physics, theoretical physics and other areas in the sciences where nonlinear phenomena are of fundamental importance. A more detailed indication is given by the subject interests of the Editorial Board members, which are listed in every issue of the journal.
Due to the broad scope of Nonlinearity, and in order to make all papers published in the journal accessible to its wide readership, authors are required to provide sufficient introductory material in their paper. This material should contain enough detail and background information to place their research into context and to make it understandable to scientists working on nonlinear phenomena.
Nonlinearity is a journal of the Institute of Physics and the London Mathematical Society.
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