The First Law of Thermodynamics, also known as the law of energy conservation, states that energy cannot be created or destroyed in an isolated system. In the context of fluid mechanics, this law can be applied to processes involving fluids in motion, such as in pipes, pumps, and turbines.

The Journal of Non-Equilibrium Thermodynamics is a scholarly publication focused on research related to the principles and applications of non-equilibrium thermodynamics. Non-equilibrium thermodynamics is the study of systems that are not in thermodynamic equilibrium, meaning they are subject to processes that involve gradients of temperature, pressure, chemical potential, or other quantities, leading to time-dependent behaviors and irreversible processes.

Thermal conductivity is a material property that indicates how well a material can conduct heat. It is usually denoted by the symbol \( k \) and is typically expressed in watts per meter-kelvin (W/m·K).

The Minimum Total Potential Energy Principle is a fundamental concept in variational calculus and structural mechanics. It is used to analyze the stability and equilibrium of mechanical systems. The principle states that for a system in static equilibrium, the total potential energy is at a minimum compared to any other configuration the system may take.

Non-ideal compressible fluid dynamics refers to the study of fluid flows that do not obey the assumptions of ideal fluid behavior, especially when the fluid's density can change significantly in response to pressure and temperature variations. Unlike ideal fluids, which are assumed to be incompressible and have no viscosity, non-ideal fluids can exhibit complex behaviors influenced by interactions among fluid particles, temperature variations, and pressure effects.

In a general context, a "process function" can refer to a variety of concepts depending on the field of study, programming context, or specific discipline. Below are a few interpretations of the term across different areas: 1. **In Computer Science/Programming:** - A process function may refer to a function, method, or procedure designed to perform a series of tasks or operations within a program.

Rational thermodynamics is a theoretical framework that seeks to describe thermodynamic processes in a systematic and consistent mathematical manner. It is founded on the principles of continuum mechanics and the laws of thermodynamics, allowing for the analysis of systems that may not be in equilibrium.

A function \( f: \mathbb{R}^n \to \mathbb{R} \) is said to be radially unbounded if it behaves in a way such that, as you move further away from the origin in all directions, the function's output tends to infinity.

In mathematics, the term "support" generally refers to the closure of the set of points where a given function is non-zero.

Generalized functions, also known as distributions, extend the notion of functions to include objects that may not be functions in the traditional sense. They provide a framework for dealing with entities such as Dirac's delta function, which is not a function in the classical sense but is very useful in physics and engineering.

The term "progressive function" can refer to different concepts depending on the field of study. Here are a few interpretations: 1. **Mathematics:** In a mathematical context, a "progressive function" is often not a standard term. However, it might refer to a function that increases in a certain way, such as being a monotonically increasing function.

Dušan Repovš is a notable figure in the field of mathematics, particularly known for his work in logic, set theory, and foundational mathematics. He has made significant contributions to mathematical education and research.

Gregory Eskin is a notable figure in the field of mathematics and mathematical biology. He has made contributions primarily in areas related to applied mathematics, mathematical modeling, and complex systems. However, it is essential to note that there may be multiple individuals with the name Gregory Eskin, so the specific context in which you are asking about him could influence the answer.

Hitoshi Ishii may refer to a notable figure in several fields, but without further context, it is difficult to pinpoint exactly which individual you mean, as there could be multiple people with that name across various disciplines. One notable figure might be Hitoshi Ishii, a Japanese theoretical physicist known for his work in particle physics and cosmology.

Nikolai Piskunov is primarily known as a Russian mathematician, particularly recognized for his contributions to the fields of differential equations and mathematical physics. He is best known for his work on the Piskunov method for solving differential equations and has authored several texts and research papers.

Paolo Marcellini is an Italian mathematician known for his work in functional analysis, calculus of variations, and mathematical analysis. His contributions to the field often involve the study of nonlinear partial differential equations and optimization problems. He has published numerous research papers and is recognized in academic circles for his expertise in these areas.

Shoshana Kamin is a notable Jewish-American artist, primarily recognized for her work as an abstract painter. She is known for her unique approach to form, color, and texture within her artwork, which often reflects her cultural heritage and personal experiences.

Abraham de Moivre (1667–1754) was a French mathematician known for his work in probability theory and for his contributions to the development of the theory of complex numbers.

Albert-László Barabási is a prominent Hungarian-American physicist known for his work in network science. He is particularly renowned for his research on complex networks, which has applications in various fields including sociology, biology, and computer science. Barabási is best known for the development of the Barabási-Albert model, which describes how networks grow and evolve over time, emphasizing the role of "preferential attachment" where nodes with higher connectivity are more likely to attract new connections.

Alexei Borodin may refer to different subjects, depending on the context you are looking for. One prominent figure is Alexei Borodin, a Russian physicist known for his work in various scientific fields. However, the name could also refer to a fictional character, a historical figure, or even a specific context in literature or popular media.