Propagation described by partial differential equations with free boundary

要了解自然界中许多重要的传播现象，如入侵物种或神经信号的传播，需要尖端的非线性数学。这个项目的目的是系统地研究控制这种传播动力学的非线性偏微分方程模型，重点是开发新的方法，使人们能够更深入地了解传播锋面的演化。该项目旨在为持久价值的新应用开发新的数学。

Cutting edge nonlinear mathematics is required to understand many important propagation phenomena in nature, such as the spreading of invasive species or nerve signals. This project aims to systematically investigate nonlinear partial differential equation models that govern the dynamics of such propagations, with emphasis on the development of new approaches that enable deeper insights on the evolution of the propagating fronts. The project aims to develop new mathematics for new applications of lasting values.