Preface

Quantum and kinetic models have been widely used in the modeling and description for many problems arising in science and engineering with quantum effect (wave-particle duality and/or quantization) and/or particle interaction. Over the last two decades, quantum and kinetic models have been adapted for the kinetic description of emerging applications in biology and social science, such as cell migration, collective motion of active matter, network formation and dynamics in social sciences, coherent structures in crowd and traffic dynamics, flocking, swarming, and for the modeling of tremendous new experiments in physics, such as Bose-Einstein condensation, fermion condensation, quantum fluids of light, degenerate quantum gas, graphene and 2D materials, etc. These new surprising experiments and emerging applications generate a big wave in the study of challenging quantum and kinetic problems in terms of modeling, analysis and simulation. In fact, the new experiments and applications also call for greater participation of mathematicians and computational scientists to address some fundamental questions related to quantum and kinetic problems, to work together with applied scientists from the modeling to computational stages, to provide mathematical analysis for justifying different models, and to design efficient and accurate computational methods. A thematic program on Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications was held at the Institute for Mathematical Sciences (IMS) at the National University of Singapore (NUS) from September 2019to March 2020.