On the physical interpretation of fractional diffusion
Article dans une revue avec comité de lecture
Author
NADAL, Enrique 
CUETO, Elias ABISSET-CHAVANNE, Emmanuelle CHINESTA SORIA, FranciscoAbstract
Even if the diffusion equation has been widely used in physics and engineering, and its physical content is well understood, some variants of it escape fully physical understanding. In particular, anormal diffusion appears in the so-called fractional diffusion equation, whose main particularity is its non-local behavior, whose physical interpretation represents the main part of the present work.
Files in this item
Related items
Showing items related by title, author, creator and subject.
-
Article dans une revue avec comité de lectureCUETO, Elias; ; ; ABISSET-CHAVANNE, Emmanuelle; AMMAR, Amine; CHINESTA SORIA, Francisco (Springer Verlag, 2019)
Compressed sensing is a signal compression technique with very remarkable properties. Among them, maybe the most salient one is its ability of overcoming the Shannon–Nyquist sampling theorem. In other words, it is able to ...
-
Article dans une revue avec comité de lecture;CUETO, Elias; ; ; ABISSET-CHAVANNE, Emmanuelle; AMMAR, Amine; CHINESTA SORIA, Francisco (Tech Science Press, 2018)
Describing the orientation state of the particles is often critical in fibre suspension applications. Macroscopic descriptors, the so-called second-order orientation tensor (or moment) leading the way, are often preferred ...
-
Article dans une revue avec comité de lecture; ;CUETO, Elias; ABISSET-CHAVANNE, Emmanuelle; CHINESTA SORIA, Francisco (Wiley, 2019)
It is well known that model order reduction techniques that project the solution of the problem at hand onto a low-dimensional subspace present difficulties when this solution lies on a nonlinear manifold. To overcome these ...
-
Article dans une revue avec comité de lectureCHINESTA SORIA, Francisco; ABISSET-CHAVANNE, Emmanuelle; AMMAR, Amine; CUETO, Elias (Global Science Press, 2015)
The fine description of complex fluids can be carried out by describing the evolution of each individual constituent (e.g. each particle, each macromolecule, etc.). This procedure, despite its conceptual simplicity, involves ...
-
Article dans une revue avec comité de lecture;ABISSET-CHAVANNE, Emmanuelle; AMMAR, Amine; ; CUETO, Elias; ; ; CHINESTA SORIA, Francisco (Wiley, 2018)
Sparse model identification by means of data is especially cumbersome if the sought dynamics live in a high dimensional space. This usually involves the need for large amount of data, unfeasible in such a high dimensional ...