论文标题
在移动域的波动方程上：规律性，能量平衡和动态剥离的应用
On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding
论文作者
论文摘要
我们重新审视了非圆柱域中波动方程的存在和规律性的一些问题。使用一种差异性方法，我们展示了如何通过增加规律性假设，弱解决方案的存在，提高其规律性和能量平衡。作为一种应用，我们为某些脱衣舞问题提供了严格的动态能量释放速率密度的定义，并且我们为此类问题制定了适当的解决方案概念。我们讨论了特定案例中文献中给出的这种表述的一致性。
We revisit some issues about existence and regularity for the wave equation in noncylindrical domains. Using a method of diffeomorphisms, we show how, through increasing regularity assumptions, the existence of weak solutions, their improved regularity and an energy balance can be derived. As an application, we give a rigorous definition of dynamic energy release rate density for some problems of debonding, and we formulate a proper notion of solution for such problems. We discuss the consistence of such formulation with previous ones, given in literature for particular cases.
