This volume contains more than fifty peer-reviewed survey and research papers presented at the 4th MSJ-SI International Conference on Nonlinear Dynamics in Partial Differential Equations, held at Kyushu University, Kyushu, Japan, September 12-21, 2011.

Nonlinear partial differential equations describing nonlinear dynamics are indispensable objects in many fields, including technology and social science. This book covers recent mathematical theories and techniques to analyze such nonlinear partial differential equations.