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- W2034996881 abstract "This paper deals with the existence of curved front solution of a partial differential equation coming from a mathematical model of stroke. The equation is of reaction–diffusion type in a cylinder of radius R and of diffusion and absorption type outside of the cylinder. We prove the nonexistence of a travelling front when R is small enough and the existence if R is large enough using a recent energy method. We construct the travelling front as the limit in time of a solution with a well-chosen initial condition, in a travelling referential." @default.
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- W2034996881 date "2007-05-01" @default.
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- W2034996881 title "Existence and nonexistence of curved front solution of a biological equation" @default.
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- W2034996881 doi "https://doi.org/10.1016/j.jde.2007.01.021" @default.
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