Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit
Hyung HwangKyungkeun KangAngela Stevens
35L6035M1058J4592C17chemotaxishyperbolic modelglobal existenceparabolic limit
We consider a one dimensional hyperbolic system for chemosensitive movement, especially for chemotactic behavior. The model consists of two hyperbolic differential equations for the chemotactic species and is coupled with either a parabolic or an elliptic equation for the dynamics of the external chemical signal. The speed of the chemotactic species is allowed to depend on the external signal and the turning rates may depend on the signal and its gradients in space and time, as observed in experiments. Global classical solutions are established for regular initial data and a parabolic limit is proved.
Indiana University Mathematics Journal
2006
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10.1512/iumj.2006.55.2677
10.1512/iumj.2006.55.2677
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Indiana Univ. Math. J. 55 (2006) 289 - 316
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