-------------------Description-------------------- This volume comprises selected papers from the 21st Conference on System Modeling and Optimization in Sophia Antipolis, France. It covers over three decades of studies involving partial differential systems and equations. Topics include: the modeling of continuous mechanics involving fixed boundary, control theory, shape optimization and moving boundaries, and topological shape optimization. This edition discusses all developments that lead to current moving boundary analysis and the stochastic approach. ---------------------Features--------------------- · Covers new existence results derived from fine analysis of boundary behavior · Includes intrinsic geometry developed for shell modeling · Introduces new algorithms associated with current computing power, allowing impressive simulations for particle flow · Contains a numerical treatment of the mathematical Speed Method, or Eulerian parametrization tool