题目：Motion of simple system, chaotic complexity of transport equation and reaction-diffusion system

报告人：杨启贵，华南理工大学

时间：2025年6月23日（周一）16:30-18:00

地点：东区管理科研楼1308

摘要：This talk considers a second-order PDE model u_t=au_{xx}+u_ x+cu , with a particular emphasis on its chaotic behavior under different parameter settings.When a =0, the nature of the model undergoes a significant transformation and can be reclassified as a transport equation. In this case, for the corresponding Cauchy  problem, necessary and sufficient conditions for the existence of chaos are obtained.When a is not zero, it can be regarded as a reaction-diffusion equation. Sufficient criteria for the existence of chaos are established for the corresponding initial-boundary value problem. As a result, the sharp conditions for the existence of chaos have been rigorously proven.