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Codul: TE_184 1.1 Aria tematica: 11 Stiinte de baza: Matematica 1.2 Rezumat: Proiectul prezent vizeaza o serie de
teme actuale din cercetarea internationala de specialitate privind mediile cu
microstructura, mixturile de materiale si studiul unor sisteme dinamice,
precum modelele spin-orbitale. Obiectivele vizate urmaresc stabilirea unor
rezultate de existenta si dependenta continua de date a solutiilor slabe,
probleme de echilibru, existenta solutiilor tari prin metoda
potentialului, unicitate si
stabilitate in teoria neliniara a mediilor cu microstructura, comportarea
spatiala in prezenta efectelor electromagnetice si termice, probleme
impropriu puse, cartografierea spatiului fazelor sistemelor spin-orbitale
prin metode numerice. Se intentioneaza dezvoltarea unui soft pentru
integrarea numerica a sistemelor dinamice abordate, discriminarea orbitelor
regulate fata de cele haotice si realizarea hartii spatiului fazelor cu
regiunile regulate, haotice si rezonante asociate. Bazandu-se pe rezultate noi obtinute
de catre directorul de proiect si de membrii proiectului, dar si de
matematicieni si mecanicieni valorosi din tara si strainatate, proiectul
prognozeaza obtinerea de rezultate stiintifice de nivel international,
publicabile in reviste stiintifice de profil, cu coeficient de impact
ridicat. Cercetatorii in formare au prevazute obiective de inalt nivel
stiintific, iar in realizarea acestora vor fi atent indrumati de directorul
propunerii de proiect. Obiectivele prevazute in proiect reprezinta capitole
din tezele de doctorat pe care urmeaza sa le elaboreze. Domeniul abordat este
deosebit de dinamic si are multiple aplicatii practice in studiul unor
probleme din inginerie, constructii, mecanica cereasca, astronomie dinamica,
medicina, biologie, chimie.
3. GRADUL DE IMPLICARE AL TINERILOR CERCETATORI
2010 1. Studii asupra teoriei neliniare a materialelor cu microstructura. Activitati: Documentare, Elaborarea rezultatelor, Redactarea si diseminarea rezultatelor. Grad de realizare: TOTAL; 2. Asupra comportarii celulelor prin prisma teoriei mixturilor (Rezultate preliminare). Activitati: Documentare, Elaborarea rezultatelor, Redactarea si diseminarea rezultatelor. Grad de realizare: TOTAL; 2011 1. Asupra comportarii celulelor prin prisma teoriei mixturilor (Rezultate finale). Activitati: Documentare, Elaborarea rezultatelor, Redactarea si diseminarea rezultatelor. Grad de realizare: TOTAL; 2. Studiul efectelor electromagnetice si termice in materiale cu microstructura. Activitati: Documentare, Elaborarea rezultatelor, Redactarea si diseminarea rezultatelor. Grad de realizare: TOTAL; 3. Vibratii stationare in materiale de tip celular. Activitati: Documentare, Elaborarea rezultatelor, Redactarea si diseminarea rezultatelor. Grad de realizare: TOTAL; 2012 1. Probleme de echilibru in teoria
mixturilor Activitati:
Documentare, Elaborarea rezultatelor, Redactarea si diseminarea rezultatelor Grad de realizare: TOTAL; 2. Cartografierea spatiului fazelor (Rezultate
preliminare). Activitati:
Documentare, Elaborarea rezultatelor, Redactarea si diseminarea rezultatelor.
Grad de realizare: TOTAL; 3. Realizarea unui soft pentru studiul
sistemelor dinamice (Rezultate intermediare). Activitati: Documentare, Elaborarea
rezultatelor, Testarea programelor. Grad de realizare: TOTAL; 2013 1. Probleme
nestandard pentru materiale de tip amestec. Activitati: Documentare, Elaborarea
rezultatelor, Redactarea si diseminarea rezultatelor. 2. Cartografierea spatiului fazelor (Rezultate
finale). Activitati:
Documentare, Elaborarea rezultatelor, Redactarea si diseminarea rezultatelor. 3. Realizarea unui soft pentru studiul
sistemelor dinamice (Rezultate finale). Activitati: Documentare, Elaborarea
rezultatelor, Testarea programelor. 5. REALIZARI Lucrari stiintifice elaborate 1.
C. Gales, On uniqueness and continuous
dependence in nonlinear thermoviscoelasticity, Journal of Thermal Stresses,
34 (2011), 366-377. (Revista cotata
ISI, factor de impact 1.061); 2.
C. Gales, On the
nonlinear theory of micromorphic thermoelastic solids, Mathematical Problems in Engineering, Volume 2010 (2010),
Article ID 415304, 16 pagini. (Revista cotata
ISI, factor de impact 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. (Pagina web:
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. (Revista cotata
ISI, factor de impact 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. (Revista cotata
ISI, factor de impact 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 pagini. (Revista cotata
ISI, factor de impact 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. (Revista cotata
ISI, factor de impact 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. (Revista indexata
in baze de date internationale precum Zentralblatt MATH si MathSciNet); 9.
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. (Revista cotata
ISI, factor de impact 2,806); 10.
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.
(Revista cotata ISI,
factor de impact 1,317); 11.
I.D. Ghiba, C. Gales, Some
qualitative results in the linear theory of micropolar solid-solid mixtures,
Journal of Thermal Stresses, (acceptata spre publicare Iunie 2012). (Revista cotata ISI, factor de impact 0.805); 12.
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, (acceptata spre
publicare 2012). (Revista cotata
ISI, factor de impact 0,250); 13.
E. Bulgariu and I.D. Ghiba,
On the thermal stresses in anisotropic porous cylinders, Discrete and
Continuous Dynamical Systems - Series S, (acceptata spre publicare 2012). (Revista indexata in baze de date internationale
precum Zentralblatt MATH sau MathSciNet); Comunicari stiintifice 1.
C. Gales, Spatial behavior
in viscoelastic materials, la conferinta: 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, la conferinta:
10eme Colloque Franco-Roumain de Mathematiques Appliquees, 26-31
Aout 2010, Poitiers, France; 3.
C. Gales si I.D.
Ghiba, On uniqueness and continuous dependence in the theory of micropolar
thermoelastic mixtures, la
conferinta: 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, la
conferinta: 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, la
conferinta: 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, la conferinta: 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, la conferinta: 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, la conferinta: Seventh Congress of the
Romanian Mathematicians, June 29-July 5, 2011, Brasov; 11. C. Gales, Spatial behavior of
harmonic vibrations in viscoelastic materials, la conferinta: 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, la conferinta: 2th
International Conference on Material Modelling, August 31-September 2, 2011,
Paris. 13. C. Gales, Structural stability and
convergence in piezoelectricity, la conferinta: 6th European Congress of
Mathematics, July 2-7 2012, Krakow. 14. I.D. Ghiba, Representation formulas
and existence results in the theory of micropolar solid-fluid mixtures under
steady state vibrations, la conferinta: 6th European Congress of Mathematics,
July 2-7 2012, Krakow. 15. C. Gales, On the bending of plates
in the electromagnetic theory of microstretch elasticity, la conferinta: 8th
European Solid Mechanics Conference, July 9-13, Graz. 16. I.D. Ghiba, Semi-inverse solutions
for the deformation of porous cylinders, la conferinta: 8th European Solid
Mechanics Conference, July 9-13, Graz. 17. C. Gales, Spatial behavior in the
electromagnetic theory of microstretch elasticity, la conferinta: European
Congress on Computational Methods in Applied Sciences and Engineering,
September 10-14, 2012, Vienna. 18. E. Bulgariu, On a backward in time
thermo-microstretch problem, la conferinta: 38th Solid Mechanics Conference,
August 27-31, 2012, Warsaw. 19. 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. 20. C. Gales, Asupra incovoierii placilor
piezoelectromagnetice cu microstructura, la conferinta: Zilele Universitatii
Al. I. Cuza Iasi, 26 Octombrie 2012, Iasi. Participari ale tinerilor la stagii de pregatire sau la
workshop-uri 1.
Participarea la Workshop on Partial Differential Equations,
Bucharest, 25-26 noiembrie 2010 a
tinerilor cercetatori: Ionel-Dumitrel
Ghiba, Bulgariu Emilian, Ignatescu Ionut Nicolaie. 2. Participarea lui Ionel-Dumitrel Ghiba la Workshop-ul
exploratoriu
Teme Actuale de Cercetare in Matematici Aplicate 22-23 septembrie 2010,
Bucuresti , parte a conferintei Diaspora in cercetarea stiintifica si
invatamantul superior din Romania Bucuresti, 21-24 septembrie 2010. 3. Participarea lui I. Ignatescu si a lui C. Gales la
cursul de pregatire intitulat: Frontiers of Space Science: from Solar
Activity to NEOs, L’Aquila (Italia), 17–22 aprilie 2011, curs
organizat de Consorzio Interuniversitario per la Fisica Spaziale (C.I.F.S.)
in cadrul scolii The International School of Space Science. 4. Participarea lui I.D. Ghiba la programul: Nonlinear
Water Waves Programmes, organizat de The Erwin Schrodinger International
Institute for Mathematical Physics (ESI), Vienna, Austria, 11–26 iunie,
2011. 5.
Participarea lui C.
Gales si a lui I.D. Ghiba la cursurile: Generalized Continua from the Theory
to Engineering Applications, 19–23 septembrie 2011, coordonate de
Profesorii H.Altenbach si V. Eremeyev, in cadrul scolii International Centre
For Mechanical Sciences. 6.
Participarea lui C.
Gales si a lui I.D. Ghiba la cursurile: Multiscale Modelling of Complex
Materials, 21-25 mai 2012, coordonate de Profesorii H. Tomasz Sadowski,
Patrizia Trovalusci, in cadrul scolii International Centre For Mechanical
Sciences (CISM), http://www.cism.it/courses/1201/. 7.
Participarea lui C.
Gales la un stagiu de cercetare la Facultatea de Stiinte Matematice, Fizice
si Naturale, Universitatea Tor Vergata din Roma, in perioada 11 noiembrie-1
decembrie 2012, la invitatia Doamnei Prof. dr. Alessandra Celletti. Teze de doctorat si disertatii elaborate de tinerii
cercetatori din contract 1.
Teza
de doctorat cu titlul: Studiul unor modele generalizate in mecanica mediilor
continue, elaborata de Ionel-Dumitrel Ghiba si sustinuta public la data de 14
octombrie 2010 la Universitatea Alexandru Ioan Cuza din Iasi; 2. Teza de doctorat cu titlul: Probleme
standard si nestandard pentru medii termoelastice cu microdilatari, elaborata
de Emilian Bulgariu si sustinuta public la data de 20 septembrie 2011 la
Universitatea Alexandru Ioan Cuza din Iasi. |
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