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Research for mechanism of spacio-temporal pattern formation in a reaction diffusion precipitation system

反应扩散沉淀体系时空格局形成机制研究

基本信息

批准号：
17540118
负责人：
OHNISHI Isamu
金额：
$ 2.41万
依托单位：
Hiroshima University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2005
资助国家：
日本
起止时间：
2005 至 2007
项目状态：
已结题

项目摘要

Because it was the year of the final report, it mediated between the result carefully.Almost, it refined a result of being gotten by the preceding fiscal year. As a result, it succeeded in therefore removing the unnatural supposition which was on in the technical reason about the main theorem in the mathematical result and it succeeded in the proof of the more natural and general theorem.This was a spatial one dimension but in the two dimensions, the more interesting phenomenon was confirmed. It finds out the equation to have considered the process with stochastic about this and it is analyzing. The reappearance of the phenomenon which was estimated by having an interest in the collaboration with the person of the chemical experiment therefore was accomplished. Indeed, it was the pattern formation which was expected from the analysis of the system of equation but there was a report that a experimental result as in the estimate was approximately gotten. Therefore, several times, it did a meeting, it confirmed and as the joint research, it gathered that it corresponded to the change of the material which the parameter which was changed by the simulation used by the experiment on them physically.Moreover, it was touched off by the research of this space-time pattern, it tackled the problem of the structure of "the storage element" to the rhythm phenomenon and it did a simulation and analyzing the theory. Because it thinks that this continues and that that it studies is worthy, it keeps in touch regularly with the co-investigator and it continues a research. However, it mediates between the result which becomes the first step and of it it is posting a message.

因为是最终报告的年份，所以它在结果之间进行了仔细的调解，几乎是提炼出了上一财年的结果。结果，它成功地因此消除了不自然的假设，这是在技术原因有关的主要定理在数学结果，它成功地证明了更自然和一般的定理。这是一个空间的一维，但在两个维度，更有趣的现象得到证实。对此找出了考虑了过程随机性的方程并进行了分析。因此，通过与化学实验人员的合作来估计的现象的再现已经完成。事实上，这是模式的形成，这是从方程组的分析，但有一个报告，实验结果，在估计近似得到。所以，几次开会，确认，作为共同研究，收集到的是，物理实验用的模拟改变的参数，对应的是材料的变化，而且是由这个时空格局的研究引发的，解决了节奏现象的“存储元”结构问题，并进行了仿真和理论分析。因为它认为这是继续下去，它的研究是值得的，它保持联系，定期与合作研究者，它继续研究。然而，它在成为第一步的结果和它发布的消息之间进行调解。