English

A kinetic chemotaxis model with internal states and temporal sensing

Analysis of PDEs 2021-11-18 v1

Abstract

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].

Keywords

Cite

@article{arxiv.2111.09135,
  title  = {A kinetic chemotaxis model with internal states and temporal sensing},
  author = {Zhi-An Wang},
  journal= {arXiv preprint arXiv:2111.09135},
  year   = {2021}
}

Comments

Accepted by Kinetic and Related Models