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- W2971426909 abstract "This paper is concerned with the asymptotic stability of the initial-boundary value problem of a singular PDE-ODE hybrid chemotaxis system in the half space $R_+=[0, infty)$. We show that when the non-zero flux boundary condition at $x=0$ is prescribed and the initial data are suitably chosen, the solution of the initial-boundary value problem converges, as time tend to infinity, to a shifted traveling wavefront restricted in the half space $[0,infty)$ where the wave profile and speed are uniquely selected by the boundary flux data. The results are proved by a Cole-Hopf type transformation and weighted energy estimates along with the technique of taking {color{black} the} anti-derivative." @default.
- W2971426909 created "2019-09-12" @default.
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- W2971426909 date "2019-09-06" @default.
- W2971426909 modified "2023-10-17" @default.
- W2971426909 title "Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space" @default.
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- W2971426909 doi "https://doi.org/10.48550/arxiv.1909.03171" @default.
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