一类热弹性板解的空间性质

Spatial Behaviors of Solutions for a Class of Thermoelastic Plates

研究一类含有双调和算子的热弹性板解的空间性质。首先构造一个解的函数表达式,然后推导出该函数表达式为可由它本身的一阶导数控制的微分不等式,最后得到解的Phragmén-Lindelöf二择一结果。该结果可看成是Saint-Venant原则在双曲抛物耦合方程组上的应用。

The spatial behaviors of solutions for a class of thermoelastic plates with biharmonic operator were studied in the paper.Firstly,the functional expression for solutions was constructed,and then the differential inequality which met that the functional expression was able to be controlled by its first derivative was derived.Finally,the Phragmén-Lindelöf alternative results for the solutions were obtained.These results could be regarded as the applications of the Saint-Venant principle to hyperbolic-parabolic coupled equations.