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A continuity equation or transport equation is an equation that describes the transport of some quantity. It is particularly simple and powerful when applied to a conserved quantity, but it can be generalized to apply to any extensive quantity. Since mass, energy, momentum, electric charge and other natural … See more
Definition of flux
A continuity equation is useful when a flux can be defined. To define flux, first there must be a quantity q which can flow or move, such as mass, energy, electric charge See moreIn computer vision, optical flow is the pattern of apparent motion of objects in a visual scene. Under the assumption that brightness of the moving object did not change between two image frames, one can derive the optical flow equation as:
• t … See moreIf there is a quantity that moves continuously according to a stochastic (random) process, like the location of a single dissolved molecule with Brownian motion, … See more
In electromagnetic theory, the continuity equation is an empirical law expressing (local) charge conservation. Mathematically it is an automatic consequence of See more
In fluid dynamics, the continuity equation states that the rate at which mass enters a system is equal to the rate at which mass leaves the system plus the accumulation of mass within the … See more
Conservation of energy says that energy cannot be created or destroyed. (See below for the nuances associated with general relativity.) Therefore, there is a continuity equation for energy flow:
• u, local energy density (energy per unit volume), See moreQuantum mechanics is another domain where there is a continuity equation related to conservation of probability. The terms in the equation require the following definitions, and are … See more
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Continuity equation - Wikipedia
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