field equation


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field equation

An equation describing the behavior of a field, derived from the law governing how the associated physical agency varies in space and time. See also relativity, general theory.
References in periodicals archive ?
As general simulation software for 3-dimensional electromagnetic fields, HFSS is based on the following field equation derived from Maxwell's Equations:
We critically examine here the basic properties of theory of gravitation and role of parallel tensors in obtaining exact solution of Einstein field equation. The study of the parallel tensors (Gerretsen 1962) has wide applications in solving the field equations in general relativity which co-exist for both gravitational and electromagnetic waves.
Multiplying of Eq 10 with [Theta] and integrating for [Theta] yields a field equation for mean striation thickness [Mathematical Expression Omitted]:
However, these models remain widely studied for their pedagogical value, mainly making them exact tractable solutions of Einstein's field equation.
In this paper, we will focus on a coupled Higgs field equation with important physical interests [19],
Previously, on this surface, diffracted fields have been obtained as a nonuniform solution where the field equation diverges to infinity and which lead to discontinuity in the analysis [10].
To achieve this goal, the strategy we adopt is to modify both sides of the field equation, in order to have the fine structures which are compatible with the fluctuations.
To compute the relative entropy, we also use B as a test function to the magnetic field equation (3) and insert (9), which yields
For region I, the magnetic field equation is governed by the Poisson's equation.
In the complex-quaternion space [H.sub.g], the field equation, [mathematical expression not reproducible], is capable of determining the "charge" (or mass, [m.sup.g.sub.g]) of the gravitational fields.

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