论文标题
非本地游离边界问题建模细胞极化的解决方案的定性特性
Qualitative properties of solutions to a non-local free boundary problem modeling cell polarization
论文作者
论文摘要
我们将抛物线非本地游离边界问题视为模拟细胞极化的散装表面反应扩散系统的极限。作者已经证明了这个问题的良好性，并进一步证明了解决方案的独特性和稳态的全球稳定性。在本文中，我们研究了自由边界的定性特性。我们为初始数据提供了必要和充分的条件，这意味着$ t = 0 $的支持的连续性。如果这些假设之一失败，则支持支持。此外，我们为大量初始数据提供了跳跃的完整表征。
We consider a parabolic non-local free boundary problem that has been derived as a limit of a bulk-surface reaction-diffusion system which models cell polarization. The authors have justified the well-posedness of this problem and have further proved uniqueness of solutions and global stability of steady states. In this paper we investigate qualitative properties of the free boundary. We present necessary and sufficient conditions for the initial data that imply continuity of the support at $t = 0$. If one of these assumptions fail, then jumps of the support take place. In addition we provide a complete characterization of the jumps for a large class of initial data.
