Wang, HenglingLi, Yuxiang2021-11-012021-11-012019-03-11Wang, H., & Li, Y. (2019). Renormalized solutions to a chemotaxis system with consumption of chemoattractant. <i>Electronic Journal of Differential Equations, 2019</i>(38), pp. 1-19.1072-6691https://hdl.handle.net/10877/14747This article concerns the high-dimensional chemotaxis system with consumption of chemoattractant ut = ∆u - ∇ ∙ (u∇v), vt = ∆v - uv, under homogeneous boundary conditions of Neumann type, in a bounded domain Ω ⊂ ℝn (n ≥ 4) with smooth boundary. We prove that if the initial data satisfy u0 ∈ C0(Ω̅) and v0 ∈ W1,q(Ω) for some q > n, this model possesses at least one global renormalized solution.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalKeller-Segel modelRenormalized solutionsEntropy methodArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.