On the physical interpretation of fractional diffusion
Article dans une revue avec comité de lecture
Author
NADAL, EnriqueCUETO, 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 lecture;ABISSET-CHAVANNE, Emmanuelle; AMMAR, Amine; CHINESTA SORIA, Francisco (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; CHINESTA SORIA, Francisco (Springer Verlag, 2019)
In recent times a growing interest has arose on the development of data-driven techniques to avoid the employ of phenomenological constitutive models. While it is true that, in general, data do not fit perfectly to existing ...
-
Article dans une revue avec comité de lecture; ; ;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 lecture;ABISSET-CHAVANNE, Emmanuelle; AMMAR, Amine; ; DUVAL, Jean-Louis; CHINESTA SORIA, Francisco (Elsevier, 2019)
This work aims at proposing a new procedure for parametric problems whose separated representation has been considered difficult, or whose SVD compression impacted the results in terms of performance and accuracy. The ...
-
Article dans une revue avec comité de lecture; ; ;ABISSET-CHAVANNE, Emmanuelle; CHINESTA SORIA, Francisco (Elsevier Masson, 2018)
Separated representations at the heart of Proper Generalized Decomposition are constructed incrementally by minimizing the problem residual. However, the modes involved in the resulting decomposition do not exhibit a clear ...