Thursday, May 13, 2021

Boundary Conditions -- My Take, (In "Laymen's" Terms)

 Let us consider the five different reductional types of boundary conditions that exist:

1) Neumann conditions: Consider a physical "thing," -- at a "snapshot" of time. One may perceive of the boundary conditions of the "thing" as a "thing," to be analogous to the Neumann boundary conditions.

2) Dirichlet conditions: Consider the motion of the earlier stated "thing." One may perceive of the boundary conditions of the motion of this "thing," to be analogous to the Dirichlet boundary conditions.

3) Cauchy conditions: Consider the combined boundary conditions, of both the "thing" as a "thing" -- while in conjunction with the boundary conditions of the motion of such a stated "thing." One may perceive of this resultant set of boundary conditions, as being analogous to the Cauchy boundary conditions.

4) Robin conditions: Consider the Cauchy-like boundary conditions of a movable "thing," as it has some sort of a restraint (a certain tense of an impedance) applied upon it's tense of motion. One may perceive of this general type of a set of boundary conditions, as being analogous to the Robin boundary conditions.

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5) Mixed conditions: Consider the boundary conditions that are here to exist, in any relevant case, when either the "thing" of motion, and/or when the motion of such a stated "thing," is to alter in its phenomenology. One may perceive of this general type of a set of boundary conditions, as being analogous to the Mixed boundary conditions. (P.S.: I apologize; yet, the term, "mixed boundary conditions," has more of a tendency, of generally working to refer to partial aspects, that are of the other reductional types of physical boundary conditions, -- particularly, of either Cauchy boundary conditions/ Robin boundary conditions.)

Hope all is well! Sincerely, SAMUEL DAVID ROACH. 

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