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• W3048573586 abstract "<p style='text-indent:20px;'>This paper is devoted to the analytical study of the long-time asymptotic behavior of solutions to the Cauchy problem of a system of conservation laws in one space dimension, which is derived from a repulsive chemotaxis model with singular sensitivity and nonlinear chemical production rate. Assuming the <inline-formula><tex-math id=M1>begin{document}$ H^2 $end{document}</tex-math></inline-formula>-norm of the initial perturbation around a constant ground state is finite and using energy methods, we show that there exists a unique global-in-time solution to the Cauchy problem, and the constant ground state is globally asymptotically stable. In addition, the explicit decay rates of the solutions to the chemically diffusive and non-diffusive models are identified under different exponent ranges of the nonlinear chemical production function." @default.
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• W3048573586 date "2021-01-01" @default.
• W3048573586 modified "2023-10-16" @default.
• W3048573586 title "Asymptotic dynamics of a system of conservation laws from chemotaxis" @default.
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• W3048573586 doi "https://doi.org/10.3934/dcds.2020301" @default.
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