What is it about?
This article is about a bridge between two theories for flow in porous media. The simpler theory corresponds to a very old equation in mathematics (Laplace's equation) which has thousands of techniques for solving it available. The newer, more complex theory is nonlinear and hence it is a bit of a surprise that it can be mapped to the old theory which is linear. We give algorithms for how to carry out the mapping in practice.
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Why is it important?
It is important because solution techniques for nonlinear problems are usually "case by case" while this technique treats a very large number of possible solution cases in the same way.
Perspectives
Most of my work is numerical and this was an interesting step back to my graduate school days in more analytical applied mathematics.
Marek Stastna
University of Waterloo
Read the Original
This page is a summary of: Exact solutions for flow through porous media with the Klinkenberg effect, AIP Advances, January 2023, American Institute of Physics,
DOI: 10.1063/5.0134998.
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