The one-dimensional chemotaxis model: global existence and asymptotic profile
نویسندگان
چکیده
Osaki and Yagi (2001) give a proof of global existence for the classical chemotaxis model in one space dimension with use of energy estimates. Here we present an alternative proof which uses the regularity properties of the heat-equation semigroup. With this method we can identify a large selection of admissible spaces, such that the chemotaxis model de nes a global semigroup on these spaces. We use scaling arguments to derive the asymptotic pro le of the solutions and we show numerical simulations. Copyright ? 2004 John Wiley & Sons, Ltd.
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