A kinetic chemotaxis model with internal states and temporal sensing

Abstract

<p style='text-indent:20px;'>By employing the Fourier transform to derive key <i>a priori</i> estimates for the temporal gradient of the chemical signal, we establish the existence of global solutions and hydrodynamic limit of a chemotactic kinetic model with internal states and temporal gradient in one dimension, which is a system of two transport equations coupled to a parabolic equation proposed in [<xref ref-type="bibr" rid="b4">4</xref>].</p>