论文标题
非自主k接触场理论
Nonautonomous k-contact field theories
论文作者
论文摘要
本文提供了一个新的几何框架，用于描述非保守的场理论，通过结合K-串联和K触发配方，并明确依赖于时空坐标。这种几何框架是K-Cocontact几何形状，允许为这些田间理论开发哈密顿和拉格朗日形式。我们还将这种新的表述与以前的K接触形式主义进行了比较。为了说明该理论，我们研究了非线性阻尼波方程，外部时间依赖性强迫。
This paper provides a new geometric framework to describe non-conservative field theories with explicit dependence on the space-time coordinates by combining the k-cosymplectic and k-contact formulations. This geometric framework, the k-cocontact geometry, permits to develop a Hamiltonian and Lagrangian formalisms for these field theories. We also compare this new formulation in the autonomous case with the previous k-contact formalism. To illustrate the theory, we study the nonlinear damped wave equation with external time-dependent forcing.
