Mathematical Sciences: Studies in Continuum Mechanics and Materials Science

9301158 Gurtin这项研究涉及多相连续体非平衡热力学的一般理论的进一步发展和具体模型的分析。计划进行以下研究：i)发展非相干相变的动力学理论，重点是表面应力；Ii)由质量输运驱动的高度非平衡相变的一般理论的发展，重点是溶质攻壁模型的构建；Iii)通过曲率推广运动的模型分析；这些模型包括晶体各向异性，并产生晶体生长的动力学理论；iv)对考虑过热和过冷的一般斯蒂芬问题的分析，重点是成核。＊＊＊

9301158 Gurtin This research concerns the further development of the general theory and the analysis of specific models of nonequilibrium thermomechanics of multiphase continua. The following studies are planned: i) the development of a dynamical theory of incoherent phase transitions, with emphasis on surface stress; ii) the development of general theory of highly nonequilibrium phase transitions driven by mass transport, with emphasis on the construction of models for solute tapping; iii) the analysis of models that generalize motion by curvature; these models include crystal anisotropy and yield a dynamical theory of crystal growth; iv) the analysis of general Stephan problems that allow for superheating and supercooling, with emphasis on nucleations. ***