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Porous Medium Equation


The partial differential equation

 u_t=del ·(u^mdel u).

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References

Elliott, C. M.; Herrero, M. A.; King, J. R.; and Ockendon, J. R. "The Mesa Problem: Diffusion Patterns for u_t=del ·(u^mdel u) as m->+infty." IMA J. Appl. Math. 7, 147-154, 1986.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 134, 1997.

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Porous Medium Equation

Cite this as:

Weisstein, Eric W. "Porous Medium Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PorousMediumEquation.html

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