Sandpiles and river networks: Extended systems with nonlocal interactions.
Sandpiles and river networks: Extended systems with nonlocal interactions.
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沙堆和河流网络：具有非局部相互作用的扩展系统。
DOI：
10.1103/physreve.49.1161
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
L. Prigozhin
中科院分区：
文献类型：
--
作者：
L. Prigozhin
一个建议的沙堆生长的连续模型能够证明瞬时的长程相互作用和突然崩溃典型的真实的沙堆。证明了该模型等价于一个演化拟变分不等式。在静止角为零的极限情况下，不等式描述了河流网络中的水输运。
A proposed continuum model of sandpile growth is able to demonstrate instantaneous long-range interactions and sudden collapses typical of real sandpiles. The model is shown to be equivalent to an evolutionary quasivariational inequality. In the limiting case of zero angle of repose the inequality describes water transport in a river network.