The transport theorem (or transport equation, rate of change transport theorem or basic kinematic equation or Bour's formula, named after: Edmond Bour)...

calculus, the Reynolds transport theorem (also known as the Leibniz–Reynolds transport theorem), or simply the Reynolds theorem, named after Osborne Reynolds...

rule for differentiation under the integral sign Leibniz–Reynolds transport theorem, a generalization of the Leibniz integral rule Leibniz's linear differential...

namely the Prandtl number and magnetic Prandtl number. Reynolds transport theorem – 3D generalization of the Leibniz integral rule Drag coefficient –...

theorem (proof theory) Deduction theorem (logic) Diaconescu's theorem (mathematical logic) Easton's theorem (set theory) Erdős–Dushnik–Miller theorem...

operator. Measure-preserving dynamical system Normalizing flow Optimal transport Theorem 3.6.1 in Bogachev 2007 Bogachev, Vladimir I. (2007), Measure Theory...

is better known from the field of fluid dynamics as the Reynolds transport theorem: d d t ∫ D ( t ) F ( x , t ) d V = ∫ D ( t ) ∂ ∂ t F ( x , t ) d V...

Sinkhorn's theorem states that every square matrix with positive entries can be written in a certain standard form. If A is an n × n matrix with strictly...

Pressure-correction method Primitive equations Rayleigh–Bénard convection Reynolds transport theorem Stokes equations Supersonic flow over a flat plate Vlasov equation...

mechanics and general relativity. They are expressed using the Reynolds transport theorem. In addition to the above, fluids are assumed to obey the continuum...

In physics, Liouville's theorem, named after the French mathematician Joseph Liouville, is a key theorem in classical statistical and Hamiltonian mechanics...

When combined with the central limit theorem, the FT also implies the Green–Kubo relations for linear transport coefficients close to equilibrium. The...

Tellegen's theorem is one of the most powerful theorems in network theory. Most of the energy distribution theorems and extremum principles in network...

Noether's theorem states that every continuous symmetry of the action of a physical system with conservative forces has a corresponding conservation law...

Norman, Oklahoma. Cramer, M. S., "Navier–Stokes Equations -- Vorticity Transport Theorems: Introduction". Foundations of Fluid Mechanics. Parker, Douglas, "ENVI...

{u} )\ d\Omega -\int _{\Omega }s\ d\Omega .} Applying the Reynolds transport theorem to the integral on the left and then combining all of the integrals:...

Navier–Stokes equations Reynolds decomposition Reynolds number Reynolds transport theorem Reynolds v. Sims, a 1964 U.S. Supreme Court case concerning State...

integral rule – Differentiation under the integral sign formula Reynolds transport theorem – 3D generalization of the Leibniz integral rule Preiss, David; Tišer...

2001. Reynolds number Reynolds analogy Reynolds equation Reynolds transport theorem Reynolds decomposition Reynolds stress Reynolds-averaged Navier–Stokes...

The fluctuation theorem (FT), which originated from statistical mechanics, deals with the relative probability that the entropy of a system which is currently...

specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Peter Ludwig Sylow...

In mathematics, specifically Riemannian geometry, Synge's theorem is a classical result relating the curvature of a Riemannian manifold to its topology...

}}\times \right]{\boldsymbol {f}}\ .} This result is also known as the transport theorem in analytical dynamics and is also sometimes referred to as the basic...

equation Reynolds-averaged Navier–Stokes (RANS) equations Reynolds transport theorem Riemann problem Taylor–von Neumann–Sedov blast wave Turbulence modeling...

equations Real gas Reynolds-averaged Navier–Stokes equations Reynolds transport theorem Reynolds number Rossby number Three-dimensional losses and correlation...

In mathematics, particularly in integral calculus, the localization theorem allows, under certain conditions, to infer the nullity of a function given...

i = F i {\displaystyle ma_{i}=F_{i}} Then, based on the Reynolds transport theorem and using material derivative notation, one can write ∫ Ω ρ D u i...

Institution, the first titled 'Birth of a Theorem'. The English translation of his book Théorème vivant (Living Theorem) has the same title. In the book he...

The following dual representation of W1 is a special case of the duality theorem of Kantorovich and Rubinstein (1958): when μ and ν have bounded support...

closely related to the curvature of the connection, via the Ambrose–Singer theorem. The study of Riemannian holonomy has led to a number of important developments...