研讨班报告

偏微分方程研讨班:The analysis of singularity for some chemotaxis-fluid systems

发布时间:2026-07-08

院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

偏微分方程研讨班

Speaker: 王文栋 教授(大连理工大学)

Inviter:崔世坤

Title: The analysis of singularity for some chemotaxis-fluid systems

Time & Venue: 202678日(星期三) 14:30-15:30 南楼N208

Abstract:Chemotaxis-fluid systems model the collective motion of bacteria and microorganisms under the influence of chemical signals, oxygen concentration, and fluid flow. These systems display complex nonlinear phenomena such as aggregation, bioconvective plumes, bacterial turbulence, and possible singularity formation. In this talk, I will discuss the analysis of singularities for several chemotaxis-fluid systems. The main topics include suitable weak solutions, local energy inequalities, cancellation structures in energy estimates, and partial regularity results forchemotaxis-Navier-Stokes type systems.



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