A KINETIC CHEMOTAXIS MODEL WITH INTERNAL STATES AND TEMPORAL SENSING

By employing the Fourier transform to derive key a priori 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 [4].

Automated summary

This passage discusses the use of Fourier transform to derive key a priori estimates for the temporal gradient of chemical signal, and establishes the existence of global solutions and hydrodynamic limit of a chemotactic kinetic model in one dimension with internal states and temporal gradient.