Applications: Difference between revisions

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imported>Luis
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imported>Russell
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* Models for [[dislocation dynamics]] in crystals.
* Models for [[dislocation dynamics]] in crystals.
* Several stochastic models, in particular particle systems, can be used to derive nonlocal equations like the [[Nonlocal porous medium equation]], the [[Hamilton-Jacobi equation with fractional diffusion]], [[conservation laws with fractional diffusion]], etc...
* Several stochastic models, in particular particle systems, can be used to derive nonlocal equations like the [[Nonlocal porous medium equation]], the [[Hamilton-Jacobi equation with fractional diffusion]], [[conservation laws with fractional diffusion]], etc...
* In hydrology, the so called [[Fractional Advection Dispersion Equation]] involves fractional operators similar to sums of one-dimensional [[Fractional Laplacian | fractional Laplacians]] to describe super-diffusive spreading rates of tracer particles flowing in underground aquifers.  The more typically used second order (local) models cannot correctly capture this spreading phenomenon in a suitable way.


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Latest revision as of 11:31, 17 November 2012

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