The Cauchy momentum equation is a vector partial differential equation put forth by Cauchy that describes the non-relativistic momentum transport in any...

the Cauchy momentum equation for deformable solids or fluids. Momentum is a vector quantity: it has both magnitude and direction. Since momentum has a...

pure advection equation, as much as the Stokes equation is a pure diffusion equation. Euler momentum equation is a Cauchy momentum equation with the Pascal...

point in time. The Navier–Stokes momentum equation can be derived as a particular form of the Cauchy momentum equation, whose general convective form is:...

"drag coefficient," of course. In the non dimensional form of the Cauchy momentum equation, the skin drag coefficient or skin friction coefficient is referred...

} where σ is the Cauchy stress tensor, and f accounts for body forces present. This equation is called the Cauchy momentum equation and describes the...

smooth to admit these derivatives.: 62–63  Invariant (physics) Momentum Cauchy momentum equation Energy Conservation of energy and the First law of thermodynamics...

independent of the choice of coordinate system, these governing equations are: Cauchy momentum equation, which is an expression of Newton's second law. In convective...

equilibrium equations (Cauchy's equations of motion for zero acceleration). At the same time, according to the principle of conservation of angular momentum, equilibrium...

Cauchy–Kovalevskaya theorem Cauchy–Kowalevski theorem Cauchy–Lipschitz theorem Cauchy matrix Cauchy momentum equation Cauchy net Cauchy number Cauchy–Peano...

flows. The incompressible Euler equations consist of Cauchy equations for conservation of mass and balance of momentum, together with the incompressibility...

Cauchy's convergence test Cauchy (crater) Cauchy determinant Cauchy distribution Cauchy's equation Cauchy–Euler equation Cauchy's functional equation...

defining equation for absolute permeability. The non-linearity of the material derivative in balance equations in general, and the complexities of Cauchy's momentum...

A continuity equation or transport equation is an equation that describes the transport of some quantity. It is particularly simple and powerful when...

Angular momentum (sometimes called moment of momentum or rotational momentum) is the rotational analog of linear momentum. It is an important physical...

f(z) be analytic is that u and v be differentiable and that the Cauchy–Riemann equations be satisfied: u x = v y , v x = − u y . {\displaystyle u_{x}=v_{y}...

the equation of motion, with specified initial values, describes the system for all times t after t = 0. Other dynamical variables like the momentum p of...

instant of time. The Boltzmann equation can be used to determine how physical quantities change, such as heat energy and momentum, when a fluid is in transport...

Hagen–Poiseuille flow. The equations governing the Hagen–Poiseuille flow can be derived directly from the Navier–Stokes momentum equations in 3D cylindrical coordinates...

This density and flux of energy and momentum are the sources of the gravitational field in the Einstein field equations of general relativity, just as mass...

potential φ. In that case, and for a constant density ρ, the momentum equations of the Euler equations can be integrated to:: 383  ∂ φ ∂ t + 1 2 v 2 + p ρ +...

the first Hamilton equation means that the particle's velocity equals the derivative of its kinetic energy with respect to its momentum. The time derivative...

using differential equations that describe the behavior of such matter according to physical laws, such as mass conservation, momentum conservation, and...

on it. Where the mass is varying, the equation needs to be generalised to take the time derivative of the momentum. In three spatial dimensions, this is...

The components of the Cauchy stress tensor at every point in a material satisfy the equilibrium equations (Cauchy's equations of motion for zero acceleration)...

and plasma pressure p {\displaystyle p} can be derived from the Cauchy momentum equation: ρ ( ∂ ∂ t + v ⋅ ∇ ) v = J × B − ∇ p , {\displaystyle \rho \left({\frac...

hypergeometric series Euler rotation equations, a set of first-order ODEs concerning the rotations of a rigid body. Euler–Cauchy equation, a linear equidimensional...

possible to obtain such simple (diagonal tensor) equations for the rate of change of the angular momentum. Then ω must be the angular velocity for rotation...

In physics, the Hamilton–Jacobi equation, named after William Rowan Hamilton and Carl Gustav Jacob Jacobi, is an alternative formulation of classical mechanics...

by J or Imp) is the change in momentum of an object. If the initial momentum of an object is p1, and a subsequent momentum is p2, the object has received...