三维双趋化Stokes系统的整体适定性

Global Well-posedness of a 3D Double Chemotaxis-Stokes System

本文在自然的饱和效应假设之下证明了一类双趋化Stokes系统的三维初边值问题经典解的整体存在性与一致有界性.由于系统的强非线性性,本文的方法可以应用于最近备受关注的珊瑚产卵等模型的研究.

Under the natural assumption of saturation effect,this paper proves the global existence and uniform boundedness of the classical solutions to the 3 D initial boundary value problem for a double chemotaxis-Stokes system.Due to the strong nonlinearity in the system,the method developed in this paper can be applied to the related models for the coral spawning,which have attracted much attention recently.