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Stability of nonlinear diffusion (1977)

Kern, W. ; Felderhof, B. U.

Springer

The European physical journal 28 (1977), S. 129-134

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ISSN: 1434-6036

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract The nonlinear diffusion equation in bounded geometry with time-independent boundary conditions has a uniquely determined stationary solution. We show that this solution is dynamically stable in the sense of Liapunov. Any initial distribution tends to the stationary one as time goes on. It is shown that the application of the Glansdorff-Prigogine stability criterion requires a more elaborate analysis. We develop a variational procedure which has application in a wide range of nonlinear transport problems.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01325451

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