Furthermore, field theories with damping are described through a modification of the De Donder-Weyl Hamiltonian field theory.
We also devise a constraint algorithm for k-precosymplectic systems. In the present thesis we review what has been done in this topic and go deeper, studying symmetries and dissipated quantities of contact systems, and developing the Lagrangian-Hamiltonian mixed formalism (Skinner-Rusk formalism) for these systems.With regard to classical field theory, we introduce the notion of k-precosymplectic manifold and use it to give a geometric description of singular nonautonomous field theories. In recent years there has been a growing interest in studying dissipative mechanical systems from a geometric perspective by using contact structures. Some of these generalizations are the subject of the present dissertation. This admits several generalizations for nonautonomous systems and classical field theories, both regular and singular. It is well known that symplectic geometry is the natural framework to deal with autonomous Hamiltonian mechanics. Thesis abstract: Many important theories in modern physics can be stated using the tools of differential geometry. Thesis director: GRACIA SABATE, FRANCESC XAVIER | ROMAN ROY, NARCISO Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICSĭepartment: Department of Mathematics (MAT)
Thesis file: (contact the Doctoral School to confirm you have a valid doctoral degree and to get the link to the thesis)
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