Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables
نویسندگان
چکیده
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. Classification (AMS 2000) Primary: 92C17, 82C40; Secondary: 35Q80, 92B05
منابع مشابه
Global existence for the kinetic chemotaxis model without pointwise memory effects , and including internal variables ∗ December 15 , 2007
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. Classi...
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