Chemotaxis(-fluid) systems with logarithmic sensitivity and slow consumption: global generalized solutions and eventual smoothness

Mario Fuest

doi:10.3934/dcdsb.2022232

Chemotaxis(-fluid) systems with logarithmic sensitivity and slow consumption: global generalized solutions and eventual smoothness

Analysis of PDEs 2023-01-12 v1

Authors: Mario Fuest

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Abstract

We consider the system \begin{align*} \begin{cases} n_t + u \cdot \nabla n = \Delta n - \chi \nabla \cdot (\frac{n}{c} \nabla c),

Cite

@article{arxiv.2211.01019,
  title  = {Chemotaxis(-fluid) systems with logarithmic sensitivity and slow consumption: global generalized solutions and eventual smoothness},
  author = {Mario Fuest},
  journal= {arXiv preprint arXiv:2211.01019},
  year   = {2023}
}