Abstract
In a bounded real interval, this work considers the chemotaxis-convection model{ut=d1uxx−(uvx)x+(uwx)x,vt=d2vxx+(vwx)x+ku−μv,wt=d3wxx+ru−δw, that describes the branching of capillary sprouts during angiogenesis, where d1,d2,d3,k,r,μ and δ are positive parameters. It is shown that for all suitably regular initial data, an associated Neumann initial-boundary problem admits a globally defined bounded smooth solution.
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