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* In conformal geometry, the Paneitz operators encode information about the manifold, they include fractional powers of the Laplacian, which are nonlocal operators.  * In conformal geometry, the Paneitz operators encode information about the manifold, they include fractional powers of the Laplacian, which are nonlocal operators.  
* In oceanography, the temperature on the surface may diffuse though the atmosphere giving rise to the [[surface quasigeostrophic equation]].  * In oceanography, the temperature on the surface may diffuse though the atmosphere giving rise to the [[surface quasigeostrophic equation]].  
+  * 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 [[HamiltonJacobi 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 [[HamiltonJacobi equation with fractional diffusion]], [[conservation laws with fractional diffusion]], etc...  
Revision as of 17:16, 7 February 2012

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