Funding Application for the Research Projects for the Stimulation of the
Founding/Forming of Young Independent Research Teams
The CNCSIS grant, cod TE 184, contract no.
86/30.07.2010
Team manager: Lect. Dr. Catalin Bogdan Gales
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1.1 Thematic fields: 11 Main Sciences: Mathematics 1.2 Abstract: This proposal refers to a series of
actual research subjects in the field of international literature relating
media with microstructure, mixtures of materials and some dynamical systems,
such as spin-orbit models. The objectives of the project are to obtain
results concerning the following topics: existence and continuous dependence
of weak solutions, existence of strong solutions using the potential method,
uniqueness and stability in the nonlinear theory of materials with
microstructure, spatial behaviour in the presence of thermal and
electromagnetic effects, ill posed problems, cartographic studies of the
phase space of spin-orbit systems by using numerical tools. One intend to
develop a soft for integrating numerically the dynamical systems addressed,
discriminating between the regular orbits and the chaotic ones and for
studying the phase space by emphasizing the regular, chaotic and resonant
associated regions. Based on new results obtained by the project manager, the
members of the proposal, as well as by the recognized mathematicians in
homeland and in the wide word, one expects to obtain scientific results of
international level, publishable in specific journals with high impact
factor. Early stage researches have stipulated objectives of high scientific
level and they will be strongly supervised by the project manager. The
objectives of the present project represent some chapters from the ph. Degree
theses which they will develop. The addressed research domain is very dynamic
and it has numerous practical applications in engineering, construction
industry, celestial mechanics, dynamical astronomy, medicine, biology,
chemistry.
3. DEGREES OF THE INVOLVEMENT OF THE YOUNG RESEARCHERS
4. OBJECTIVES,
ACTIVITIES AND THE REALISATION DEGREES 2010
Realisation degree: TOTAL;
Realisation degree: TOTAL; 2011 1. On the behavior of cellular materials using the mixture theory (final results). Activities: Documentation, Elaboration of the results, Redactation and dissemination of the results; Realisation degree: TOTAL; 2. Study of electromagnetic and thermal effects in materials with microstructure. Activities: Documentation, Elaboration of the results, Redactation and dissemination of the results; Realisation degree: TOTAL; 3. Harmonic vibrations in cellular materials. Activities: Documentation, Elaboration of the results, Redactation and dissemination of the results.; Realisation degree: TOTAL; 2012 1. Equilibrium problems in the theory of mixtures. Activities: Documentation, Elaboration of the results, Redactation and dissemination of the results. Realisation degree: TOTAL; 2. Cartography of phase space (preliminary results). Activities: Documentation, Elaboration of the results, Redactation and dissemination of the results. Realisation degree: TOTAL; 3. Soft for studying dynamical systems (preliminary results). Activities: Documentation, Elaboration of the results, Verification of programs. Realisation degree: TOTAL; 2013 1. Non-standard problems for mixture materials. Activitati: Documentare, Elaborarea rezultatelor, Redactarea si diseminarea rezultatelor. 2. Cartography of phase space (preliminary results). Activitati: Documentare, Elaborarea rezultatelor, Redactarea si diseminarea rezultatelor. 3. Soft for studying dynamical systems (final results). Activitati: Documentare, Elaborarea rezultatelor, Verification of programs.
Elaborated papers 1. C. Gales, On uniqueness and continuous dependence in
nonlinear thermoviscoelasticity, Journal of Thermal Stresses, 34 (2011),
366-377. (ISI journal with the
impact factor 1.061); 2. C. Gales, On the nonlinear theory of micromorphic
thermoelastic solids, Mathematical
Problems in Engineering, Volume 2010 (2010), Article ID 415304, 16 pages (ISI journal with the impact factor 0.553); 3. C. Gales, I.D. Ghiba, On uniqueness and
continuous dependence in the theory of micropolar thermoelastic mixtures,
World Academy of Science, Engineering and Technology, ISSUE 70, October 2010,
Article 6, pp. 25-29. (Web page: http://www.waset.org/journals/waset/); 4. C. Gales, Spatial
behavior in the electromagnetic theory of microstretch elasticity,
International Journal of Solids and Structures, 48 (2011), 2755-2763. (ISI journal with the impact factor 1,677); 5. C. Gales, I.D.
Ghiba, I. Ignatescu, Asymptotic partition of energy in micromorphic
thermopiezoelectricity, Journal of Thermal Stresses, 34 (2011), 1241-1249. (ISI journal with the impact factor 0,946); 6. E. Bulgariu, On spatial evolution of
the solution of a nonstandard problem in linear thermo-microstretch
elasticity, Mathematical Problems in Engineering, Volume 2011, Article ID
929176, 16 pages. (ISI journal with
the impact factor 0,689); 7. C. Gales, Spatial behavior and
continuous dependence results in the linear dynamic theory of
magnetoelectroelasticity, Journal of Elasticity,
doi:10.1007/s10659-011-9365-y. (ISI journal with
the impact factor 1,160); 8.
I.D. Ghiba, C. Gales, A uniqueness
result for the motion of micropolar solid-fluid mixtures in unbounded domain,
Annali dell’Universita di Ferrara, 57 (2011) 275-286. (BDI indexed
journal in Zentralblatt MATH and
MathSciNet); 1.
C. Gales, A cartographic
study of the phase space of the restricted three body problem. Application to
the Sun-Jupiter-Asteroid system, Communications in Nonlinear Science and
Numerical Simulation, 17 (2012), 4712-4730. (ISI journal with
the impact factor 2,806); 2.
I.D. Ghiba, C. Gales, On
the fundamental solutions for micropolar fluid-fluid mixtures under steady
state vibrations, Applied Mathematics and Computation, 219 (2012), 2749-2759.
(ISI journal with the
impact factor 1,317); 3.
I.D. Ghiba, C. Gales, Some
qualitative results in the linear theory of micropolar solid-solid mixtures,
Journal of Thermal Stresses, (accepted for publication June 2012). (ISI journal with the impact factor 0.805); 4.
E. Bulgariu, On the
uniqueness and continuous dependence in the linear theory of
thermo-microstretch elasticity backward in time, Analele Stiintice ale
Universitatii Al I Cuza din Iasi-Serie Noua-Matematica, (accepted for
publication 2012). (ISI journal with
the impact factor 0,250); 5.
E. Bulgariu and I.D. Ghiba,
On the thermal stresses in anisotropic porous cylinders, Discrete and
Continuous Dynamical Systems - Series S, (accepted for publication 2012). (BDI indexed journal in Zentralblatt MATH and MathSciNet); Conferences 1.
C. Gales, Spatial
behavior in viscoelastic materials, at the conference: 10eme Colloque Franco-Roumain de
Mathematiques Appliquees, 26-31 Aout 2010, Poitiers, France; 2.
I.D. Ghiba, On the
relaxed Saint-Venant's problem for transversely isotropic porous elastic
circular cylinder, at the conference:
10eme Colloque Franco-Roumain de Mathematiques Appliquees, 26-31
Aout 2010, Poitiers, France; 3.
C. Gales and I.D.
Ghiba, On uniqueness and continuous dependence in the theory of micropolar
thermoelastic mixtures, at the
conference: International Conference on Mathematics and Mathematical Sciences
(ICMMS2010), October 27-29, 2010, Paris, France; 4.
C. Gales, On the
phase space of the restricted three body problem. Application to the
Sun-Jupiter-Asteroid system, at the conference: Workshop on Partial
Differential Equations, Bucharest, November 25-26, 2010; 5.
C. Gales, I.D. Ghiba, I. Ignatescu, On
the asymptotic partition of energy in micromorphic thermopiezoelectricity, at the conference: 9th International Congress on Thermal
Stresses, June 5-9, 2011, Budapesta; 6.
E. Bulgariu, Spatial evolution for some
non-standard problems in linear thermo-microstretch elasticity, la conferinta:
9th International Congress on Thermal Stresses, June 5-9, 2011, Budapest; 7.
C. Gales, On the spatial behavior in
viscoelastic cylinders, at the conference: Workshop
for Young Researches in Mathematics, May 12-13, 2011, Constanta; 8.
I.D. Ghiba, Homogeneous and
inhomogeneous plane waves in elastic materials with voids, in the Nonlinear
Water Waves Programmes, The Erwin Schrodinger International Institute for
Mathematical Physics (ESI), Vienna, Austria, June 14, 2011; 9.
C. Gales, Spatial behaviour in the
linear dynamic theory of magnetoelectroelasticity, at the conference: Seventh Congress of the Romanian
Mathematicians, June 29-July 5, 2011, Brasov; 10. I.D. Ghiba,
Strong ellipticity and waves in elastic materials with voids, at the conference: Seventh Congress of the Romanian
Mathematicians, June 29-July 5, 2011, Brasov; 11. C. Gales,
Spatial behavior of harmonic vibrations in viscoelastic materials, at the conference: 2th International Conference on
Material Modelling, August 31-September 2, 2011, Paris; 12. I.D. Ghiba,
Homogeneous and inhomogeneous plane waves in elastic materials with voids, at the conference: 2th International Conference on
Material Modelling, August 31-September 2, 2011, Paris. 1. C. Gales, Structural stability and
convergence in piezoelectricity, at the conference: 6th European Congress of
Mathematics, July 2-7 2012, Krakow. 2. I.D. Ghiba, Representation formulas
and existence results in the theory of micropolar solid-fluid mixtures under
steady state vibrations, at the conference: 6th European Congress of
Mathematics, July 2-7 2012, Krakow. 3. C. Gales, On the bending of plates
in the electromagnetic theory of microstretch elasticity, at the conference:
8th European Solid Mechanics Conference, July 9-13, Graz. 4. I.D. Ghiba, Semi-inverse solutions
for the deformation of porous cylinders, at the conference: 8th European
Solid Mechanics Conference, July 9-13, Graz. 5. C. Gales, Spatial behavior in the
electromagnetic theory of microstretch elasticity, at the conference:
European Congress on Computational Methods in Applied Sciences and
Engineering, September 10-14, 2012, Vienna. 6. E. Bulgariu, On a backward in time
thermo-microstretch problem, at the conference: 38th Solid Mechanics
Conference, August 27-31, 2012, Warsaw. 7. I.D. Ghiba, On the study of Saint-Venant
problem for porous cylinders using a semi-inverse method, University of
Duisburg-Essen, Faculty of Mathematics, September 27, 2012. 8. C. Gales, Asupra incovoierii
placilor piezoelectromagnetice cu microstructura, at the conference: Zilele
Universitatii Al. I. Cuza Iasi, 26 October 2012, Iasi. Attendances of the young researches to the residencies or
to the workshops 1.
Attendance to the Workshop on
Partial Differential Equations, Bucharest, 25-26 November 2010 of the young
researches: Ionel-Dumitrel
Ghiba, Bulgariu Emilian, Ignatescu Ionut Nicolaie; 2.
Attendance of Ionel-Dumitrel Ghiba to the Exploratory Workshop Actual research fields in applied mathematics
22-23 September 2010, Bucuresti, of the conference Diaspora in cercetarea
stiintifica si invatamantul superior din Romania Bucuresti, 21-24 September
2010; 3.
Attendance of I. Ignatescu
and C. Gales to the courses: Frontiers
of Space Science: from Solar Activity to NEOs, L’Aquila (Italia),
17–22 April 2011, organised by Consorzio Interuniversitario per la
Fisica Spaziale (C.I.F.S.) in the program The International School of Space
Science. 4.
Attendance of I.D. Ghiba
to the program: Nonlinear Water Waves Programmes, organized by The Erwin
Schrodinger International Institute for Mathematical Physics (ESI), Vienna,
Austria, 11–26 June 2011. 5.
Attendance of C. Gales and
I.D. Ghiba to the courses:
Generalized Continua from the Theory to Engineering Applications, 19–23
September 2011, coordinated by Professors H.Altenbach and V. Eremeyev, at the
International Centre for Mechanical Sciences. ·
Attendance of C. Gales and I.D. Ghiba at the
courses: Multiscale Modelling of Complex Materials, 21-25 mai 2012,
coordinators: H. Tomasz Sadowski, Patrizia Trovalusci, at the International
Centre For Mechanical Sciences (CISM), http://www.cism.it/courses/1201/. ·
Attendance of C. Gales at a research stage at the
Faculty Mathematical, Physics and Natural Science, University Tor Vergata
from Rome, in the period November 11- December 1, 2012, at the invitation of
Prof. dr. Alessandra Celletti. PhD thesis and dissertations of the young researcher
involved in grant 1.
The
PhD. Thesis entitled: The study of some generalized models in continuum
mechanics, written by Ionel-Dumitrel Ghiba and defenced at Octomber 14th at
the Alexandru Ioan Cuza
University of Iasi; 2.
The
PhD. Thesis entitled: Standard and non-standard problems in the
thermoelasticity of microstretch materials, written
by Emilian
Bulgariu and
defenced at 20th September 2011 at the Alexandru Ioan Cuza University of Iasi. |
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