Mathematical Sciences: Nonlinear Continuum Mechanics

该研究项目研究了一些与求解非线性时变偏微分方程组有关的数学问题。这些方程是力学、热力学、化学和材料科学中广泛现象的数学模型。该程序的研究结果将对固体中“二次声”的热输运、非连续作用力的弹塑性振子、聚合物纤维冷拉伸中的行波、手性近晶晶体在电场中的“孤子开关”行为等有重要的意义。

This research program investigates a number of mathematical problems concerning the solution of nonlinear time dependent partial differential equations. These equations are mathematical models of a wide range of phenomena in mechanics, thermodynamics, chemistry and material science. The research results from this program will have implications on heat transport by "second sound" in solids, elastic-plastic oscillators with a discontinuous forcing, travelling waves in the cold drawing of polymeric fibers, "soliton switch" behavior of chiral smectic crystals in electric fields, etc.