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math-ph2025
On Geometry of Dissipation in Multiscale Dynamics and Thermodynamics
Begüm AteÅli, OÄul 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…
math-ph2024
[Locally Conformal Higher Order Lagrangian Dynamics
Serdar Ãite, OÄul Esen
This work presents higher order Lagrangian dynamics possessing locally conformal character. More concretely, locally conformal higher order Euler-Lagrange equations are written wit…
math-ph2024
Conformal and Contact Kinetic Dynamics and Their Geometrization
OÄul Esen, Ayten Gezici, Miroslav Grmela +3
We propose a conformal generalization of the reversible Vlasov equation of kinetic plasma dynamics, called conformal kinetic theory. In order to arrive at this formalism, we start…