Nanotechnology involves understanding, controlling, and manipulating matter in the range of 1 to 100 nanometers, where unique phenomena enable novel applications. One of the most important technologies, nanotechnology will impact every aspect of our lives from health care, to consumer products, communications, electronics, and safety. The nanoscale is the intermediate length scale between systems of a few atoms and  macroscopic objects. Nanoscale systems involve a number of atoms that is large enough so that a direct description of every atom is quite complex, but small enough that a continuum description is not valid. Second, at nano scale quantum and classical physics intersect. Because of these characteristics, nanosystems are very complex and their many degrees of freedom are difficult to observe and manipulate experimentally. For these reasons, mathematical and computational methods are expected to play a major role in nanoscience, since they can provide effective theory and simulations for analysis and interpretation of experimental results, model-based prediction of nanoscale phenomena, and design and control of nanoscale systems. Computational methods, such as density functional theory (DFT) and kinetic Monte Carlo (KMC), have already had major success in nanoscience, and there are still many opportunities for further involvement of mathematics and computation in nanoscience. Furthermore, si size of the systems is small enough to allow (expensive) molecular dynamics simularions that can be used as benchmanrks for more efficient and less refined models or computational tools. In any case,  mathematical models and computational tools for  nanoengineering design have not yet reached the flexibility and accuracy of those used in traditional applications of mechanics or fluid mechanics.
The Workshop will focus on physical and biological systems in which structures at the nanometer scale are important.  In particular,  the main research topic will be the application of mathematical and numerical methods to micro/nano electro-mechanical systems (MEMS/NEMS), to Microfluidic Flows  and Microfluidic Technologies, and to material science. It is the aim of this Workshop to bring together scientists and mathematicians with expertise in modeling, analysis and computation that is valid on all different time and length scales, from the atomistic to the continuum, and in the research on the nanoscale.