15 citations · 24 across the 9 of their papers we have counts for
9 papers · 1 filter
On Geometry of Dissipation in Multiscale Dynamics and Thermodynamics
Begüm Ateşli, Oğul Esen, Miroslav Grmela +1
This manuscript introduces novel approaches to three phenomena. First, we extend the algebraic formulation of kinetic theory within the contact framework by making explicit the gau…
[Locally Conformal Higher Order Lagrangian Dynamics
Serdar Çite, Oğul Esen
This work presents higher order Lagrangian dynamics possessing locally conformal character. More concretely, locally conformal higher order Euler-Lagrange equations are written wit…
Matched Pair Analysis of Euler-Poincaré Flow on Hamiltonian Vector Fields
Oğul Esen, Cristina Sardón, Marcin Zajac
In this paper we provide a matched pair decomposition of the space of symmetric contravariant tensors . From this procedure two complementary Lie subalgebr…
On Geometrical Couplings of Dissipation and Curl Forces
Oğul Esen, Partha Guha, Hasan Gümral
In this paper, we present several geometric ways to incorporate gyroscopic and dissipative forces to curl forces. We first present a proper metriplectic geometry. Then, using the H…
On Extensions, Lie-Poisson Systems, and Dissipations
Oğul Esen, Gökhan Özcan, Serkan Sütlü
On the dual space of \textit{extended structure}, equations governing the collective motion of two mutually interacting Lie-Poisson systems are derived. By including a twisted 2-co…
Matched pair analysis of the Vlasov plasma
Oğul Esen, Serkan Sütlü
We present the Hamiltonian (Lie-Poisson) analysis of the Vlasov plasma, and the dynamics of its kinetic moments, from the matched pair decomposition point of view. We express these…