ON THE EXISTENCE OF WEAK SOLUTIONS FOR THE KINETIC MODELS OF THE MOTION OF MYXOBACTERIA WITH ALIGNMENT AND REVERSALS

被引：0

作者：

Perepelitsa, Misha ^{[1
]}

Timofeyev, Ilya ^{[1
]}

Murphy, Patrick ^{[2
,3
]}

Igoshin, Oleg a. ^{[3
,4
,5
,6
]}

机构：

[1] Univ Houston, Dept Math, Houston, TX 77004 USA

[2] San Jose State Univ, Dept Math & Stat, San Jose, CA USA

[3] Rice Univ, Dept Bioengn, Houston, TX USA

[4] Rice Univ, Dept Biosci, Houston, TX USA

[5] Rice Univ, Dept Chem, Houston, TX USA

[6] Rice Univ, Ctr Theoret Biol Phys, Houston, TX USA

来源：

基金：

美国国家科学基金会;

关键词：

Models for bacterial motion; multi-agent interacting systems; mean-; field equations; kinetic theory; averaging lemmas; SELF-PROPELLED PARTICLES; CONTINUUM MODEL; REGULARITY; DYNAMICS; SYSTEMS;

D O I：

10.3934/krm.2025001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. In this paper, we consider two non-linear kinetic partial differential equations that emerge in modeling rod-shaped bacteria's motion. Their motion is characterized by nematic alignment with neighboring bacteria, orientation reversals from cell polarity switching, and orientation diffusion. Our contribution lies in establishing the global existence of weak solutions for these equations. Our approach is based on applying the classical averaging lemma from the kinetic theory, augmented by a new version of that lemma, in which the transport operator is substituted with a uni-directional diffusion operator.

引用

页码：692 / 705

页数：14

共 39 条

[1] Emergent Myxobacterial Behaviors Arise from Reversal Suppression Induced by Kin Contacts [J].