Well-Posedness of Stochastic Chemotaxis System
Yunfeng Chen, Jianliang Zhai, Tusheng Zhang
TL;DR
This paper proves the existence and uniqueness of solutions for a stochastic chemotaxis model, considering both linear and nonlinear noise, using localization and a priori estimates.
Contribution
It introduces a novel approach to establish well-posedness for stochastic Keller-Segel systems with diverse noise types.
Findings
Existence and uniqueness of solutions are proven.
The method handles both linear and nonlinear noise.
The Lp Ito formula is crucial for the analysis.
Abstract
In this paper, we establish the existence and uniqueness of solutions of elliptic-parabolic stochastic Keller-Segel systems. The solution is obtained through a carefully designed localization procedure together with some a priori estimates. Both noise of linear growth and nonlinear noise are considered. The Lp Ito formula plays an important role.
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Taxonomy
TopicsMathematical Biology Tumor Growth · 3D Printing in Biomedical Research · Cellular Mechanics and Interactions