Large time behavior and diffusion limit for a system of balance laws from chemotaxis in multi-dimensions
نویسندگان
چکیده
We consider the Cauchy problem for a system of balance laws derived from chemotaxis model with singular sensitivity in multiple space dimensions. Utilizing energy methods, we first prove global well-posedness classical solutions to when only order spatial derivatives initial data is sufficiently small, and are shown converge prescribed constant equilibrium states as time goes infinity. Then that fully dissipative those corresponding partially chemical diffusion coefficient tends zero.
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2021
ISSN: ['1539-6746', '1945-0796']
DOI: https://doi.org/10.4310/cms.2021.v19.n1.a10