The book aims to present the recent developments in Rational Extended Thermodynamics
(RET) of gases in both classical and relativistic cases. The RET theory is a …

We propose the thermodynamic Cucker–Smale system with unit-speed constraints (TCSUS)
and study its emergent dynamics with rigorous proofs. For this, three dissipative differential …

This paper presents a unified mathematical theory of swarms where the dynamics of social
behaviors interacts with the mechanical dynamics of self-propelled particles. The term …

In this paper, we introduce a generalized Kuramoto model and provide several sufficient
conditions leading to asymptotic phase-locking. The proposed generalized Kuramoto model …

We study the compression between the phenomenological and kinetic models for a mixture
of gases from the viewpoint of collective dynamics. In the case in which constituents are …

We study the emergent dynamics of the continuum thermodynamic Kuramoto model which
arises from the continuum limit of the lattice thermodynamic Kuramoto (TK) model [17]. The …

We study the inertial spin model which consists of two variables: velocity as a mechanical
observable and spin as an internal variable. In this paper, we slightly modified the original …

Each oscillator, subject to external fields, interacts with all the other oscillators. Therefore,
the original thermodynamic Kuramoto model (TK model) is used to study the influence of …

We consider the thermodynamic Kuramoto model proposed in\cite {HPRS}. For each
oscillator in thermodynamic Kuramoto model, there is a coupling effect between the phase …

We propose a generalized Kuramoto model with relativistic effects and investigate emergent
asymptotic behaviors. The proposed generalized Kuramoto model incorporates relativistic …