Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables

Details Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables

2008-02-16

arxiv.org/abs/0802.2316v1

Mathematics

Analysis of PDEs

18 pages

Scientific paper

This paper is concerned with the kinetic model of Othmer-Dunbar-Alt for bacterial motion. Following a previous work, we apply the dispersion and Strichartz estimates to prove global existence under several borderline growth assumptions on the turning kernel. In particular we study the kinetic model with internal variables taking into account the complex molecular network inside the cell.

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