论文标题
面对（自）碰撞的非线性粘弹性固体的惯性进化
Inertial evolution of non-linear viscoelastic solids in the face of (self-)collision
论文作者
论文摘要
我们研究了在惯性和（自我接触的存在下）非线性粘弹性固体的时间演变。对于这个问题，我们证明了在任意时间和初始数据中存在弱解决方案，从而解决了现场的开放问题。我们的构造直接包括物理上正确的测量值接触力，从而遵守动量和能量平衡的保护。特别是，我们证明了接触力的独立有用的紧凑性。
We study the time evolution of non-linear viscoelastic solids in the presence of inertia and (self-)contact. For this problem we prove the existence of weak solutions for arbitrary times and initial data, thereby solving an open problem in the field. Our construction directly includes the physically correct, measure-valued contact forces and thus obeys conservation of momentum and an energy balance. In particular, we prove an independently useful compactness result for contact forces.
