TY - JOUR
T1 - Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit
AU - Hwang, Hyung Ju
AU - Kang, Kyungkeun
AU - Stevens, Angela
PY - 2006
Y1 - 2006
N2 - 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
AB - 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
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U2 - 10.1512/iumj.2006.55.2677
DO - 10.1512/iumj.2006.55.2677
M3 - Article
AN - SCOPUS:33645767154
SN - 0022-2518
VL - 55
SP - 289
EP - 316
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
IS - 1
ER -