The Mathematics of Fluid Flow Through Porous Media by Myron B Allen

Author:Myron B Allen [Allen, Myron B]
Language: eng
Format: epub
ISBN: 9781119663874
Published: 2021-06-02T00:00:00+00:00

Figure 5.5 (a) An admissible initial curve for a first‐order PDE. This curve is nowhere tangent to the characteristic curves, and no characteristic curve intersects it more than once. (b) An initial curve that is inadmissible, because characteristic curves intersect it more than once.

From a physical perspective, when , this restriction admits conditions of the following types:

Initial conditions, such as prescribed values of on some interval of the line ;

Boundary conditions, such as prescribed values of on some interval of the line ;

Some combination of initial and boundary conditions, such as prescribed values of along the union of the nonnegative ‐ and ‐axes.

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