摘要
研究热弹性系统的柯西问题,假设初始数据的H3范数是足够小的,但更高阶导数的范数可以任意大.采用带插值的纯能量方法,通过对热弹性系统方程组做先验估计得出能量不等式,继而得出热弹性系统存在唯一的整体解.
This study is on the Cauchy problem in the 3D thermoelasticity. We assume that the H3 norm of the initial data is small, but the higher order derivatives can be arbitrarily large. Pure energy method with interpolation is adopted. Based on thermal elastic system equations, a priori estimate is done. The outcome is the energy inequality. We conclude that there is a unique global solution to thermoelastic system.
出处
《西安文理学院学报（自然科学版）》
2015年第2期1-6,共6页
Journal of Xi’an University(Natural Science Edition)
关键词
能量估计
插值
整体存在性
energy estimate
interpolation
global existence
