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5. Eventual Smoothness and Asymptotics in A Three-dimensional Chemotaxis System with Logistic Source

Eventual Smoothness and Asymptotics in A Three-dimensional Chemotaxis System with Logistic Source

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：RTTR123

【摘 要】

：

　　We prove existence of weak solutions to the chemotaxis system ut= Δu-▽·(u▽v)+κu-μu2 vt = Δv-v+u under homogeneous Neumann boundary conditions in a sm

【作 者】

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Lankeit Johannes 

【机 构】

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Paderborn Univ.

【出 处】

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第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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论文部分内容阅读

　　We prove existence of weak solutions to the chemotaxis system ut= Δu-▽·(u▽v)+κu-μu2 vt = Δv-v+u under homogeneous Neumann boundary conditions in a smooth bounded convex domain Ω(C)R3,for arbitrary values of μ> 0.

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