Thermodynamics and stability of equilibrium/non-equilibrium steady states in thermodynamically isolated/open systems -- case study for compressible heat conducting fluid
V\'it Pr\r{u}\v{s}a
TL;DR
This paper reviews the calculations needed to construct Lyapunov-like functionals for analyzing the nonlinear stability of steady states in thermodynamic systems involving compressible heat conducting fluids.
Contribution
It provides a comprehensive review of the mathematical calculations for stability analysis in complex thermodynamic fluid systems.
Findings
Developed a framework for nonlinear stability analysis
Applied Lyapunov-like functionals to thermodynamic steady states
Enhanced understanding of stability criteria in thermodynamic systems
Abstract
We review all the calculations necessary for the construction of a Lyapunov like functional for nonlinear stability analysis of steady states in thermodynamically isolated/open systems composed of compressible heat conducting fluids.
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