Extensibility criterion ruling out gradient blow-up in a quasilinear degenerate chemotaxis system with flux limitation

研究成果: Article査読

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This paper deals with the quasilinear degenerate chemotaxis system with flux limitation, [Formula presented] under no-flux boundary conditions in balls Ω⊂Rn, and the initial condition u|t=0=u0 for a radially symmetric and positive initial data u0∈C3(Ω‾), where χ>0 and [Formula presented]. Bellomo–Winkler [3] proved local existence of unique classical solutions and extensibility criterion ruling out gradient blow-up as well as global existence and boundedness of solutions when p=q=1 under some conditions for χ and ∫Ωu0. This paper derives local existence and extensibility criterion ruling out gradient blow-up when p,q≥1, and moreover shows global existence and boundedness of solutions when [Formula presented].

本文言語English
ページ(範囲)5115-5164
ページ数50
ジャーナルJournal of Differential Equations
267
9
DOI
出版ステータスPublished - 15 10 2019

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