多孔弹性混合物动力学中的空间行为
On the spatial behaviour in dynamics of porous elastic mixtures
摘要：
本文研究了多孔弹性混合物中动力学过程的时空行为。对于空间行为，我们使用时间加权表面幂函数方法，以获得更精确的确定的影响域，我们建立空间衰减估计的圣维南型与时间无关的衰减率的影响域的内部。对于渐近的时间行为，我们使用Cesaro手段与动能和应变能，并建立渐近均分的总能量。证明了有限体和无限体的唯一性定理，并指出该定理不需要对无穷远处的解作任何先验假设。
英文摘要：
In this paper we study the spatial and temporal behaviour of the dynamic processes in porous elastic mixtures. For the spatial behaviour we use the time-weighted surface power function method in order to obtain a more precisely determination of the domain of influence and we establish spatial decay estimates of Saint-Venant type with time-independent decay rate for the inside of the domain of influence. For the asymptotic temporal behaviour we use the Cesaro means associated with the kinetic and strain energies and establish the asymptotic equipartition of the total energy. A uniqueness theorem is proved for finite and infinite bodies and we note that it is free of any kind of a priori assumptions of the solutions at infinity.
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