Asymptotic Behavior of Reaction-Diffusion-Advection Systems

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概要

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• Two reaction-diffusion-advection systems : Mikhailov-Hildebrand-Ertl model [1] and Mimura-Tsujikawa model [2] are considered. As an example of reaction-diffusion-advection systems, Mikhailov-Hildebrand-Ertl model in R^2 is adopted, and then the method of showing the global existence : semigroup method and a priori estimate is introduced. As another topic of the asymptotic behavior of reaction-diffusion-advection systems, the collapse of solution is treated. For Mimura-Tsujikawa model the possibility of occurrence of collapse due to the relation cross-diffusion and growth orders is discussed.

• 宇部工業高等専門学校の論文

著者

• Osaki Koichi

  Department Of Internal Medicine Kyushu Kosei-nenkin Hospital

• Osaki Koichi

  Department Of Business Administration Ube National College Of Technology

• 大崎 浩一

  Department Of Business Administration Ube National College Of Technology

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