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Pure Mathematics 2023
具奇异敏感的趋化模型解的整体有界性
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Abstract:
本文研究齐次Neumann边界条件下的具奇异敏感的抛物–椭圆趋化模型：![\"\"](\"Edit_f32e1004-0bc6-476e-90dd-b96178543e6d.png\")
，![\"\"](\"Edit_750244a7-ee33-4134-bbb4-3b0f2cd3dc89.png\")
，其中Ω？？为有界区间，α,β,χ > 0。当![\"\"](\"Edit_8cd86812-1627-4573-8d41-2e18f383b68c.png\")
时，模型存在整体有界的古典解。
This article studies a parabolic-elliptical chemotaxis model with singular sensitivity under homo-geneous Neumann boundary conditions:![\"\"](\"Edit_f543150c-23a7-4262-8938-be405a5fea71.png\")
, where Ω？？, α,β,χ > 0. It’s proved that the classical solution of ![\"\"](\"Edit_46535c4e-276b-42bc-821e-4660fc28b50c.png\")
is globally bounded.
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