This volume grew out from the 4th MSJ-SI international conference "NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS" held at Kyushu University, Kyushu, Japan, September 12th – 21st, 2011. It consists of more than fifty peer-reviewed articles which are survey and research papers by participants of the conference. 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. The book is recommended to any researcher or graduate student who is interested in them.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America