AIMS Conference, Taiwan, July 5-9, 2018. Invited Speakers: John Ball, Gang Bao, Annalisa Buffa, Vincent Calvez, Chiun-Chuan Chen, Jean-Michel Coron, Anna Gilbert, Yiming Long, Hirokazu Ninomiya, Natasa Pavlovic, Shige Peng, Yitang Zhang. Scientific Committee: Jerry Bona, William Bray, Martin Hairer, Danielle Hilhorst, Shouchuan Hu (chair), Alain Miranville, Wei-Ming Ni, Roger Temam, Gang Tian. Format: Plenary invited lectures (50-minute), special sessions (30-minute), contributed sessions (20-minute), poster session and Student Paper Competition. Topics: Pure and applied analysis, differential equations and dynamical systems, in the broadest sense. Real-world problems are addressed, including chemical, economical, engineering, physical, environmental, and life sciences, in the forms of modeling, computations and simulation. www.aimsciences.org/conferences/2018.