期刊
ENTROPY
卷 14, 期 7, 页码 1127-1139出版社
MDPI
DOI: 10.3390/e14071127
关键词
Shannon entropy; fourth order diffusion; irreversibility
资金
- Australian Research Council [DP1095044]
- La Trobe University postgraduate research scholarship
- Australian Research Council [DP1095044] Funding Source: Australian Research Council
The general quasi-linear autonomous fourth order diffusion equation u(t) = -[G(u)u(xxx) + h(u, u(x), u(xx))](x) with positive variable diffusivity G(u) and lower-order flux component h is considered on the real line. A direct algorithm produces a general class of equations for which the Shannon entropy density obeys a reaction-diffusion equation with a positive irreducible source term. Such equations may have any positive twice-differentiable diffusivity function G(u). The forms of such equations are the indicators of more general conservation equations whose entropy equation may be expressed in an alternative reaction-diffusion form whose source term, although reducible, is positive.
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