论文标题
边界条件对弱耦合热弹性波模型的影响
On the impact of boundary conditions on weakly coupled thermoelastic wave model
论文作者
论文摘要
本文的目的是证明不同类型的边界条件如何不影响热弹性波模型溶液的渐近行为。对于与此系统相关的初始有限价值问题，我们证明了在数据适当的规律性条件下，全球适应性良好会导致某些拓扑。此外，我们表明，在特定类别的边界条件下，与系统相关的能量在多项式上衰减至零，而不是指数。
The purpose of this paper is to demonstrate how different types of boundary conditions do not impact the asymptotic behaviour of the solutions of thermoelastic wave model. For an initial-boundary value problem associated with this system, we prove a global well-posedness result in a certain topology under appropriate regularity conditions on the data. Further, we show that under particular classes of boundary conditions, the energy associated to the system decays polynomially to zero and not exponentially.
