论文标题
A $ K $ - 接触Lagrangian for Norcervative Field Theories
A $k$-contact Lagrangian formulation for nonconservative field theories
论文作者
论文摘要
我们为一阶场理论提出了一种几何拉格朗日公式，并具有耗散。该公式基于上一篇论文中引入的$ k $ - 连接几何形状，并通过$ k $ symplectic lagrangian field Theordion将Lagrangian Mechanics联系在一起。我们还研究了这些非保守理论的对称性和耗散定律，并分析了一些例子。
We present a geometric Lagrangian formulation for first-order field theories with dissipation. This formulation is based on the $k$-contact geometry introduced in a previous paper, and gathers contact Lagrangian mechanics with $k$-symplectic Lagrangian field theory together. We also study the symmetries and dissipation laws for these nonconservative theories, and analyze some examples.
