Interaction of Nonlinear Analysis and Modern Applied Mathematics

摘要

Many of the physical phenomena that are currently important research topics inapplied mathematics involve strong, irregular, and typically unstable fluctuations with intense activity occurring on extremely small length scales. Examples include fully developed turbulence and the instability of thin layers in fluid flows, phase transitions and homogenization in materials, dendrite formation in crystal growth, the focusing of laser beams, and various problems in classical statistical physics such as the kinetic theory of gases.