期刊
出版社
ROYAL SOC
DOI: 10.1098/rsta.2012.0346
关键词
geodesic convexity; gradient structures; Onsager operator; reaction-diffusion system; Wasserstein metric; relative entropy
资金
- DFG via the Matheon project [D22]
- ERC-AdG [267802]
We consider systems of reaction-diffusion equations as gradient systems with respect to an entropy functional and a dissipation metric given in terms of a so-called Onsager operator, which is a sum of a diffusion part of Wasserstein type and a reaction part. We provide methods for establishing geodesic lambda-convexity of the entropy functional by purely differential methods, thus circumventing arguments from mass transportation. Finally, several examples, including a drift-diffusion system, provide a survey on the applicability of the theory.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据