2 citations · 4 across the 7 of their papers we have counts for
8 papers
Hamilton--Jacobi theory for non-conservative field theories in the -contact framework
Javier de Lucas, Julia Lange, Xavier Rivas +1
This article develops a Hamilton--Jacobi theory for non-conservative classical field theories, with particular emphasis on dissipative systems, in the framework of co-oriented k-co…
-contact Lie systems: theory and applications
Javier de Lucas, Xavier Rivas, Tomasz Sobczak
This paper introduces a new class of Lie systems that are Hamiltonian relative to a -contact manifold. We show that a recent distributional approach to -contact manifolds alo…
Marsden--Meyer--Weinstein reduction for -contact field theories
J. de Lucas, X. Rivas, S. Vilarino +1
This work devises a Marsden--Meyer--Weinstein -contact reduction. Our techniques are illustrated with several examples of mathematical and physical relevance. As a byproduct, we…
Brackets in multicontact geometry and multisymplectization
Manuel de León, Rubén Izquierdo-López, Xavier Rivas
In this paper we introduce a graded bracket of forms on multicontact manifolds. This bracket satisfies a graded Jacobi identity as well as two different versions of the Leibniz rul…
Foundations on k-contact geometry
Javier de Lucas, Xavier Rivas, Tomasz Sobczak
k-Contact geometry is a generalisation of contact geometry to analyse field theories. We develop an approach to k-contact geometry based on distributions that are distributionally…
A symplectic approach to Schrödinger equations in the infinite-dimensional unbounded setting
Javier de Lucas, Julia Lange, Xavier Rivas
By using the theory of analytic vectors and manifolds modelled on normed spaces, we provide a rigorous symplectic differential geometric approach to -dependent Schrödinger equat…
An energy-momentum method for ordinary differential equations with an underlying -polysymplectic manifold
Leonardo Colombo, Javier de Lucas, Xavier Rivas +1
This work presents a comprehensive review of the -polysymplectic Marsden-Weinstein reduction theory, rectifying prior errors and inaccuracies in the literature while introducing…
Hamiltonian stochastic Lie systems and applications
E. Fernández-Saiz, J. de Lucas, X. Rivas +1
This paper provides a practical approach to stochastic Lie systems, i.e. stochastic differential equations whose general solutions can be written as a function depending only on a…