Properties of Nonlinear Diffusion Equations on Networks and Their Geometric Aspects

Properties of Nonlinear Diffusion Equations on Networks and Their Geometric Aspects
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网络非线性扩散方程的性质及其几何方面

DOI：
10.1007/978-3-030-80209-7_79
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发表时间：
2021
期刊：
Proceeding of Geometric Sciences 2021 (Frank Nielsen and Frederic Barbaresco eds.) Springer Lecture Notes in Computer Science
影响因子：
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通讯作者：
Atsumi Ohara and Xiaoyan Zhang
Atsumi Ohara and Xiaoyan Zhang
中科院分区：
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文献类型：
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作者：
Imafuku Keisuke;Iwata Hiroaki;Natsuga Ken;Okumura Makoto;Kobayashi Yasuaki;Kitahata Hiroyuki;Kubo Akiharu;Nagayama Masaharu;Ujiie Hideyuki;Atsumi Ohara and Xiaoyan Zhang

文献摘要

相似文献

我们考虑了一类相当广泛的网络上的非线性扩散方程，并得到了它们解的几个常见的和基本的行为。进一步，我们证明了这类动力系统可以自然地引入勒让德结构，并讨论了它们的信息几何性质。
We consider a fairly wide class of nonlinear diffusion equations on networks, and derive several common and basic behaviors of solutions to them. Further, we demonstrate that the Legendre structure can be naturally introduced for such a class of dynamical systems, and discuss their information geometric aspects.