| An interesting class of partial differential equations | |
| Yong, Wen-An | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | HYPERBOLIC CONSERVATION-LAWS BALANCE LAWS RELAXATION SYSTEMS ENTROPY STABILITY EXISTENCE TERMS Physics, Mathematical |
| 中文摘要 | This paper presents an observation that under reasonable conditions, many partial differential equations from mathematical physics possess three structural properties. One of them can be understand as a variant of the celebrated Onsager reciprocal relation in modern thermodynamics. It displays a direct relation of irreversible processes to the entropy change. We show that the properties imply various entropy dissipation conditions for hyperbolic relaxation problems. As an application of the observation, we propose an approximation method to solve relaxation problems. Moreover, the observation is interpreted physically and verified with eight (sets of ) systems from different fields. (C) 2008 American Institute of Physics. |
| 语种 | 英语 ; 英语 |
| 出版者 | AMER INST PHYSICS ; MELVILLE ; CIRCULATION & FULFILLMENT DIV, 2 HUNTINGTON QUADRANGLE, STE 1 N O 1, MELVILLE, NY 11747-4501 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/13840]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Yong, Wen-An. An interesting class of partial differential equations[J],2010, 2010. |
| APA | Yong, Wen-An.(2010).An interesting class of partial differential equations.. |
| MLA | Yong, Wen-An."An interesting class of partial differential equations".(2010). |
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