新型显示薄膜喷墨打印技术的数学建模与分析

This paper is concerned with the mathematical modeling and analysis for the key procedure in inkjet printing of advanced display thin films. Here the key procedure consists of three steps which are the jetting of polymer (for example, OLED (organic light-emitting diode)) liquid droplets from the spray nozzle under piezoelectricity, motion and coalescence of droplets on the substrate, and the evaporation of the liquid thin film in pixel bars. The corresponding mathematical problems related to these three steps are free boundary problems for droplet-jetting from a nozzle and interface problems with solid-liquid-Air moving contact lines and dynamic contact angles even with evaporating conditions in sessile domains for multi-component and multi-phase polymer fluids. We review and outline some ideas to do theoretical and numerical analysis for these problems. It is expected that solving these mathematical problems will help to improve the yield and promote the industrialization of inkjet printing of advanced display films. On the other hand, this paper provides mathematicians with several new and interesting but difficult problems coming from the inkjet printing industry. Also, we intend to provide the materials scientists in inkjet printing with a mathematical route to solve the key problems in experiments and production. This paper is a good bridge of communication between mathematicians and materials scientists.