LINEAR AND NONLINEAR MATHEMATICAL MODELS: ASYMPTOTICS IN MATERIALS WITH MEMORY, BIOSTRUCTURES AND COMPOSITES.
| Componente | Categoria |
|---|---|
| Emilio Nicola Maria Cirillo | Componenti strutturati del gruppo di ricerca |
| Daniele Andreucci | Componenti strutturati del gruppo di ricerca |
| Micol Amar | Componenti strutturati del gruppo di ricerca |
| Componente | Qualifica | Struttura | Categoria |
|---|---|---|---|
| Giorgio Vergara Caffarelli | P.O. pensione | Dip. SBAI, Sapienza Universita` | Altro personale aggregato Sapienza o esterni, titolari di borse di studio di ricerca |
| Vanda Valente | Direttore Ricerca C.N.R. pensione | C.N.R. Roma | Altro personale aggregato Sapienza o esterni, titolari di borse di studio di ricerca |
| Cornelia Schiebold | P.O. | Mid Sweden University, Sundsvall, Svezia | Altro personale aggregato Sapienza o esterni, titolari di borse di studio di ricerca |
| Anatoli F. Tedeev | P.O. | Director of South Mathematical Institute of Vladikavkaz Science Center Russian Academy of Sciences,Vladikavkaz, 362027 Marcusa, 22, Russia. | Altro personale aggregato Sapienza o esterni, titolari di borse di studio di ricerca |
| Claudia Timofte | P.O. | Department of Theoretical Physics, Faculty of Physics, Bucharest University P.O. Box MG-11 Bucharest ROMANIA | Altro personale aggregato Sapienza o esterni, titolari di borse di studio di ricerca |
| Federico Zullo | RtD B | DICATAM, Universita` di Brescia | Altro personale aggregato Sapienza o esterni, titolari di borse di studio di ricerca |
| Pedro M. Jordan | Senior Researcher | Acoustics Division, U.S. Naval Research Laboratory, Stennis Space Center, Mississippi, U.S.A. | Altro personale aggregato Sapienza o esterni, titolari di borse di studio di ricerca |
| Adrian Muntean | P.A. | Karlstads Universitet, Karlstad, Sweden | Altro personale aggregato Sapienza o esterni, titolari di borse di studio di ricerca |
| Chipot Michel | P.O. emerito | IMath, University of Zuerich, Winterthurerstrasse 190, 8057, Zuerich, Switzerland | Altro personale aggregato Sapienza o esterni, titolari di borse di studio di ricerca |
| Ida De Bonis | RtD A | Universita` Telematica "Giustino Fortunato" | Altro personale aggregato Sapienza o esterni, titolari di borse di studio di ricerca |
| Egmont Porten | P.O. | Mid Sweden University, Sundsvall, Svezia | Altro personale aggregato Sapienza o esterni, titolari di borse di studio di ricerca |
| Claudio Giorgi | P.O. emerito | DICATAM, Universita` di Brescia | Altro personale aggregato Sapienza o esterni, titolari di borse di studio di ricerca |
The aim of this research project is to join together well established researchers who are interested in mathematical models both under the applicative and under the analytical point of view.
The models we are going to consider are all amenable to a natural asymptotic study, falling in one of two classes. Some models contain a `small' parameter, which is sent to zero in order to achieve a simplification of an otherwise too complex mathematical scheme; this is the case when we investigate the electric response of bio-materials or the behavioUr of a magneto-viscoelastic body, where concurrent different effects need to be considered, sometimes in an intricate geometry. A second kind of asymptotics is simply the study of the large time behavioUr of solutions, for example of soliton type solutions or solutions of equations with nonlinear convection.
In this framework, our project focuses on various specific themes: new materials including materials with memory with or without magnetic effects, biological tissues also in the presence of electrical effects, current through lattices or even crowd evolution when the crowd itself is modelled as collective entity.
A description of the mathematical methods employed as well as of their interest, under the applicative and analytical points of view, is provided in the following Sections.
In Section 2.A and 2.E the international connections of the participants referring to this project are given: they are testified also by the enclosed publications in Section 3 [ P1, P3, P5-6, P9, P11, P14, O1, O6, O8-9, O11-14] and by many Preprints in Section 2. E, after the List of External Collaborators involved in the present project.
The mathematical physics interest of the proposed research subjects falls into one of the main themes: thermodynamics, diffusion and dynamics, all with applications.
REFERENCES: SEE SECT 2.E & PUBBL. (P =PRINCIPAL INVESTIGATOR, O=OTHER PARTICIPANTS)