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Pattern formation has been well studied in chemistry and chemical engineering, including both temperature and concentration patterns. The Brusselator model developed by Ilya Prigogine and collaborators is one such example that exhibits Turing instability. Pattern formation in chemical systems often involve oscillatory chemical kinetics or autocatalytic reactions such as Belousov–Zhabotinsky reaction or Briggs–Rauscher reaction. In industrial applications such as chemical reactors, pattern formation can lead to temperature hot spots which can reduce the yield or create hazardous safety problems such as a thermal runaway. The emergence of pattern formation can be studied by mathematical modeling and simulation of the underlying reaction-diffusion system.
Pattern formation has been well studied in chemistry and chemical engineering, including both temperature and concentration patterns. The Brusselator model developed by Ilya Prigogine and collaborators is one such example that exhibits Turing instability. Pattern formation in chemical systems often involve oscillatory chemical kinetics or autocatalytic reactions such as Belousov–Zhabotinsky reaction or Briggs–Rauscher reaction. In industrial applications such as chemical reactors, pattern formation can lead to temperature hot spots which can reduce the yield or create hazardous safety problems such as a thermal runaway. The emergence of pattern formation can be studied by mathematical modeling and simulation of the underlying reaction-diffusion system.
斑图生成在化学和化学工程中的研究取得了突破性的成果，包括温度和浓度模式。由伊利亚·普里戈吉因Ilya Prigogine和其合作团队开发的Brusselator模型就是一个展示出图灵不稳定性的例子。化学体系中的模式形成通常涉及'''<font color="#ff8000"> 振荡化学动力学oscillatory chemical kinetics</font>'''或'''<font color="#ff8000"> 自催化反应autocatalytic reactions</font>'''，如Belousov-Zhabotinsky反应或Briggs-Rauscher反应。在工业应用中，如化学反应堆，模式形成可能导致温度热点，这可能降低产量或造成危险的安全问题，如热失控。模式形成的出现可以用潜在的反应扩散系统的数学建模与模拟来研究。
* [[Liesegang rings]]
* [[Liesegang rings]]
===Physics===
===Physics===