In the past few decades, numerous heat conduction models extending beyond Fourier's
have been developed to account for large gradients, fast phenomena, wave propagation …

Heat equations can estimate the thermal distribution and phase transformation in real-time
based on the operating conditions and material properties. Such wonderful features have …

The backbone of non-equilibrium thermodynamics is the stability structure, where entropy is
related to a Lyapunov function of thermodynamic equilibrium. Stability is the background of …

Applying simultaneously the methodology of non-equilibrium thermodynamics with internal
variables (NET-IV) and the framework of General Equation for the Non-Equilibrium …

Quantum mechanics, superfluids, and capillary fluids are closely related: It is
thermodynamics that links them. In this paper, the Liu procedure is used to analyze the …

How can we derive the evolution equations of dissipative systems? What is the relation
between the different approaches? How much do we understand the fundamental aspects of …

Thermodynamics is continuously spreading in the engineering practice, which is especially
true for non-equilibrium models in continuum problems. Although there are concepts and …

We present a natural framework for constructing energy-stable time discretization schemes.
By leveraging the Onsager principle, we demonstrate its efficacy in formulating partial …

A brief review of the development of ideas on extremal principles in the theory of heat and
mass transfer processes (including those in reacting media) is given. The extremal …

The claim that the free energy principle is somehow related to Hamilton's principle in
statistical mechanics is ubiquitous throughout the subject literature. However, the exact …