BOUNDARY LAYER ANALYSIS FROM THE KELLER-SEGEL SYSTEM TO THE AGGREGATION SYSTEM IN ONE SPACE DIMENSION

作者：Che, Jiahang^*; Chen, Li; Goettlich, Simone; Pandey, Anamika; Wang, Jing

来源：Communications on Pure and Applied Analysis, 2017, 16(3): 1013-1036.

DOI：10.3934/cpaa.2017049

• Chemotaxis
• boundary layer
• asymptotic expansion

This article is devoted to the discussion of the boundary layer which arises from the one-dimensional parabolic elliptic type Keller-Segel system to the corresponding aggregation system on the half space case. The characteristic boundary layer is shown to be stable for small diffusion coefficients by using asymptotic analysis and detailed error estimates between the Keller-Segel solution and the approximate solution. In the end, numerical simulations for this boundary layer problem are provided.

• 出版日期2017-5
• 单位上海师范大学