Pattern Formations of Coupled PDEs with Transparent Boundary Conditions and Applications

Explore pattern formation phenomena in coupled partial differential equations through this 57-minute conference talk from BIMSA's ICBS2025 symposium. Delve into the mathematical analysis of how patterns emerge and evolve in systems governed by coupled PDEs when transparent boundary conditions are applied. Examine the theoretical foundations underlying pattern formation mechanisms and discover practical applications of these mathematical concepts across various scientific domains. Learn about the specialized boundary conditions that allow waves and disturbances to pass through boundaries without reflection, and understand how these conditions influence the overall dynamics and stability of pattern formation processes in coupled systems.