第十五届中国工业与应用数学大会的“流体力学的数学理论和数值方法”专题研讨会,2017年10月12-15日,山东青岛。
Abstract In this talk, I will show the a priori estimates of Sobolev norms for a free boundary problem of the incompressible neo-Hookean elastodynamics in two and three spatial dimensions by adopting a geometrical point of view of Christodoulou-Lindblad. Some estimates on the second fundamental form and velocity of the free surface are also obtained. This is based on a joint work with Professor D. Wang.