论文标题
趋化系统对多发性硬化症建模的全球适应性和非线性稳定性
Global well-posedness and nonlinear stability of a chemotaxis system modeling multiple sclerosis
论文作者
论文摘要
我们考虑了一个反应扩散方程的系统，包括趋化项和多发性硬化症的建模。证明了该系统对该系统的强大解决方案的全球存在，也证明了该解决方案在及时均均匀地界定。最后，当趋化项不太大时，将获得非线性稳定性结果。我们还执行数值模拟，以显示趋化项较大时图灵模式的外观。
We consider a system of reaction-diffusion equations including chemotaxis terms and coming out of the modeling of multiple sclerosis. The global existence of strong solutions to this system in any dimension is proved, and it is also shown that the solution is bounded uniformly in time. Finally, a nonlinear stability result is obtained when the chemotaxis term is not too big. We also perform numerical simulations to show the appearance of Turing patterns when the chemotaxis term is large.
