Formal Distributed Port-Hamiltonian Representation of Field Equations

The purpose of this study is to establish a unified modeling procedure of distributed port-Hamiltonian formulations for field equations. First, higher order Stokes-Dirac structures on variational complexes of jet bundles are introduced. Next, a one-to-one correspondence between Euler-Lagrange equations and distributed port-Hamiltonian systems is presented. Finally, in the case that the Lagrangian is given, the concrete transformation procedure for distributed port-Hamiltonian systems is explained by using two examples.