ELENCO
PUBBLICAZIONI
Preprint
- M.
Amar, D. Andreucci, E.N.M. Cirillo: in progress.
- M. Amar, D.
Andreucci, C. Timofte: in progress.
- M.
Amar, D. Andreucci, C. Timofte:
in progress.
- M. Amar, D.
Andreucci, E.N.M. Cirillo: Upscaled equations
for the fokker–planck diffusion through
arrays of permeable and of impermeable
inclusions. Submitted (2024).
- M. Amar, D. Andreucci,
C. Timofte: Concentration
and homogenization in
composites with total flux
interface conditions.
Submitted
(2024).
Pubblicazioni su riviste
- M.Amar:
G-convergence of quasi-linear ordinary
differential operators of monotone
type. – Annali dell'Università di Ferrara, sez. VII,
Sc. Mat., vol. XXXVI,
(1990), pp. 113-141.
- M.Amar,
T.Norando: On the Green's function for parabolic
equation in non-divergence form. – Bollettino U.M.I., vol. (7) 6-B,
(1992), pp. 703-731.
- M.Amar, V.De Cicco:
The uniqueness as a generic property of the
image segmentation problem. – Rendiconti del Seminario
Matematico Università di
Padova, vol. 88, (1992), pp. 151--173.
- M.Amar,
A.Cellina: On passing to the limit for non convex
variational problems. - Asymptotic Analysis, vol. 9,
(1994), pp. 135-148.
- M.Amar,
V.De Cicco: Relaxation for quasi-convex integrals of
arbitrary order.
- Proc. Royal Society of Edinburgh,
vol. 124-A, (1994), pp. 927-946.
- M.Amar,
G.Bellettini: A notion of total variation depending on a
metric with discontinuous coefficients. – Annales de
l'Institute Henri Poincaré, Analyse Non Linéaire, vol. (1)
11, (1994), pp. 91-133.
- M.Amar,
C.Mariconda: A non-convex variational problem with
constraints. - S.I.A.M J. Control and
Optimization, vol. (1) 33, (1995), pp. 299-307.
- M.Amar,
G.Bellettini: Approximation by G-convergence of a
total variation with discontinuous coefficients. - Asymptotic Analysis, vol. 10,
(1995), pp. 1-19.
- M.Amar,
G.Bellettini: A total variation with discontinuous
coefficients: variational properties and approximation
by G-convergence. - Proceedings del convegno “Nonlinear
analysis-Calculus of variations”, Perugia, Maggio 1993; atti Sem. Mat. Fis. Univ.
Modena,
vol. XLIII (1995), pp. 431-435.
- M.Amar, A.Cellina,
C.Mariconda: Some non-convex
variational problems. - Proceedings del convegno
“Nonlinear analysis-Calculus of variations”, Perugia, Maggio
1993, Atti Sem. Mat. Fis. Univ. Modena, vol. XLIII (1995),
pp. 437-442.
- M.Amar,
A.Braides: A characterization of variational convergence
for segmentation problems. - Discrete and Continuous
Dynamical Systems, vol. (3) 1, (1995), pp.
347-369.
- M.Amar: Integral
representation of functionals defined on curves of W1,1loc(R). - Bollettino U.M.I., vol. (7)
10-B, (1996), pp.359-380.
- M.Amar,
G.Bellettini, S.Venturini: Integral representation of
functionals defined on curves of W1,p. -
Proc. Royal Society of Edinburgh, vol. 128 A, (1998), pp. 193-217.
- M.Amar,
E.Vitali: Homogenization of periodic Riemannian metrics.
- J. Convex Analysis, Vol. (1) 5, (1998), pp.
171-186.
- M.Amar,
A.Braides: G-convergence of non-convex
functionals defined on measures. - Nonlinear Analysis, vol. 34, (1998), pp.
953-978.
- M.Amar: Two-scale convergence
and homogenization on BV(W). - Asymptotic Analysis, vol. 16, (1998), pp.
65-84.
- G.Allaire,
M.Amar: Boundary layer tails in periodic homogenization.
- ESAIM: Control, Optimization and Calculus of Variations,
vol. 4, (1999), pp. 209-243.
- M.Amar,
M.Tarallo, S.Terracini: On the exponential decay for
boundary layer problems. - C.R. Acad. Sci. Paris,
t. 328, série I, (1999) pp. 1139-1144.
- M.Amar: A note on boudary
layer effects in periodic homogenization with Dirichlet
boundary conditions. - Discrete and continuous
dynamical systems, vol. (6) 3,(2000), pp. 537-556.
- M.Amar,
R.Gianni: Almost-periodic solutions of elliptic and
parabolic equations in unbounded domains. - Proc. Royal
Society of Edinburgh,
vol. 132 A, (2002), pp. 1275-1306.
- M.Amar,
A.Garroni: G-convergence
of concentration problems. - Ann. Scuola Norm. Sup. Pisa Cl. Sci., vol. (1)II, Serie
V, (2003), pp.151-179.
- M.Amar,
L. Berrone, R.Gianni: Asymptotic expansions
for membranes subjected to a lifting force in a part of
their boundary. – Asympotitc Analysis, vol. 36,
(2003), pp. 319-343.
- M.Amar,
R.Gianni: Effective
saturation for composite porous media. – Atti Accad. Naz.
Lincei Rend. Cl. Sci. Fis. Mat. Natur., Serie IX, Vol. XIV (4), (2003), PP. 297-305.
- M.Amar,
D.Andreucci, P.Bisegna, R.Gianni:
Homogenization limit for electrical
conduction in biological tissues in the radiofrequency
range. - C.R. Mecanique, vol. 331, (2003), pp.
503-508.
- M.Amar,
D.Andreucci, P.Bisegna, R.Gianni: Evolution
and memory effects in the homogenization limit for
electrical conduction in biological tissues. - M3AS, Vol. 14(9), (2004), pp.
1261-1295.
- M.Amar,
D.Andreucci, P.Bisegna, R.Gianni: An elliptic equation with history. – C.R. Acad. Sci. Paris, Ser. I 338, (2004), pp. 595-598.
- M.Amar,
A.Dall'Aglio, F.Paronetto: Homogenization of
forward-backward parabolic equations. - Asymptotic Analysis, vol. 42(1,2), (2005), pp.
123-132.
- M.Amar,
A.Dall'Aglio, F.Paronetto: Homogenization
of changing-type evolution equations.– Convex Analysis, Vol. 12, (2005),
No. 1, pp. 221-237.
- M.Amar,
D.Andreucci, P.Bisegna, R.Gianni: Existence and
uniqueness for an elliptic problem with evolution
arising in electrodynamics. – Nonlinear Analysis: RealWorld Applications,
Vol. 6, (2005), pp. 367-380.
- M.Amar,
V.De Cicco: A
new approximation result for BV-functions. - C.R. Acad. Sci. Paris., Ser. I 340,
(2005), pp. 735-738.
- M. Amar, R. Gianni: A brief
survey on homogenization with a physical application.
- MAT - Serie A, Rosario, #9 (2005).
- M.Amar, V.De Cicco:
Quasy-polyedral approximation of $BV$-functions.
- Ricerche di matematica, Vol. LIV, 2, (2005), pp. 485-490.
- M.Amar,
D.Andreucci, P.Bisegna, R.Gianni: On a hierarchy of models for
electrical conduction in biological tissues. - M2AS,
Vol. 29,
(2006), pp. 767-787.
- M.Amar,
V.De Cicco, N.Fusco: A relaxation result in BV for
integral functionals with discontinuous integrand.
- ESAIM: Control, Optimization and
Calculus of Variations, Vol. 13 (2), (2007), pp. 396-412.
- M.Amar,
V.De Cicco: Relaxation in BV for a class of functionals
without continuity assumptions. - NoDEA Nonlinear Differential Equations Appl.,
Vol. 15, (2008), pp. 25-44.
- M.Amar,
V.De Cicco, N.Fusco: Lower semicontinuity and
relaxation results in BV for integral functionals with
BV integrands. - ESAIM:
Control, Optimization and Calculus of Variations, Vol. 14,
(2008), pp. 456-477.
- M.Amar,
V.De Cicco, P.Marcellini, E.Mascolo: Weak lower
semicontinuity for non coercive polyconvex integrals. -Advances
in Calculus of Variations, Vol. 1 (2), (2008), pp.
171-191.
- M.Amar,
L.R. Berrone, R.Gianni: A non local
quantitative characterization of ellipses leading to a
solvable differential relation. - J.
Inequal. in Pure & Appl. Math. Vol. 9 (4), (2008), art. 94, 14pp.
- M.Amar,
D.Andreucci, P.Bisegna, R.Gianni:
Stability and memory effects in a homogenized model
governing the electrical conduction in biological
tissues. - Journal of Mechanics of Materials
and Structures, Vol. 4 (2), (2009), pp. 211-223.
- M.Amar,
G.Crasta, A.Malusa: On the
Finsler metric obtained as limits of chessboard
structures. - Advances in Calculus of Variations,
Vol. 2, (2009), pp. 321-360.
- M.Amar,
D.Andreucci, P.Bisegna, R.Gianni:
Exponential asymptotic stability for an elliptic
equation with memory arising in electrical conduction. - Euro.
Jnl. of Applied Mathematics Vol. 20, (2009),
pp.431-459.
- M.Amar,
V.De Cicco, N.Fusco: Lower
semicontinuity results for free continuity energies. - M3AS,
Vol. (5) 20, (2010), pp. 707-730.
- M.Amar,
D.Andreucci, P.Bisegna, R.Gianni: Homogenization
limit
and asymptotic decay for electrical conduction in
biological tissues in the high radiofrequency range. - Communications on Pure and Applied
Analysis, Vol. (5) 9, (2010), pp. 1131-1160.
- Micol Amar, Daniele
Andreucci, Paolo Bisegna, Roberto Gianni: Electrical conduction in
biological tissues: homogenization techniques and
asymptotic decay for linear and nonlinear problems.
- SIMULTECH 2013 - Proceedings of the 3rd
International Conference on Simulation and Modeling
Methodologies, Technologies and Applications, Reykjavik
(Iceland)
29-31 Luglio 2013, pp.
96-703.
- M.Amar, M. Chiricotto,
L. Giacomelli, G. Riey: Mass-constrained
minimization
of a one-homogeneous functional
arising in strain-gradient plasticity. - Journal
of Mathematical Analysis and Applications, Vol. 397,
(2013), pp. 381-401.
- M.Amar, D.Andreucci,
P.Bisegna, R.Gianni: A
hierarchy of models for the electrical conductions in
biological tissues via two-scale convergence: the
nonlinear case. - Differential and
Integral Equations, Vol. (9-10) 26, (2013), pp. 885-912.
- M. Amar, V. De Cicco: Lower
semicontinuity for polyconvex integrals without coercivity
assumptions. - Evolution Equations and Control Theory
Vol. (3) 3, (2014), pp. 363-372.
- M.Amar, D.Andreucci, R.Gianni: Exponential decay
for a nonlinear model for electrical conduction in
biological tissues. Nonlinear Analysis Series A:
Theory, Methods and Applications, Vol. 131, (2016), pp.
206-228.
- M.Amar,
D.Andreucci, R.Gianni: Asymptotic decay under
nonlinear and noncoercive dissipative effects for
electrical conduction in biological tissues. - NoDEA Nonlinear
Differential Equations Appl., Vol. (4) 23, (2016),
pp. 23-48.
- M.Amar, D.Andreucci,
D. Bellaveglia: Homogenization of an alternating
Robin-Neumann boundary condition via time-periodic
unfolding. - Nonlinear Analysis Series A: Theory,
Methods and Applications, Vol. 153, (2017), pp. 56--77.
- M.Amar,
D.Andreucci, D. Bellaveglia: The time-periodic
unfolding operator and applications to parabolic
homogenization. - Atti Accad. Naz. Lincei Rend.
Lincei Mat. Appl. Vol. 28, (2017), pp. 663-700.
- M.Amar,
R.Gianni: Laplace-Beltrami operator for the heat
conduction in polymer coating of electronic devices.
Discrete and Continuous Dynamical System B Vol.
(4) 23 (2018), pp. 1739-1756.
- M.Amar,
R.Gianni: Error estimate for a homogenization problem
involving the Laplace-Beltrami operator. Mathematics
and Mechanics of Complex Systems Vol. (1) 6 (2018), pp.
41-59.
- M.
Amar, D. Andreucci, R. Gianni, C. Timofte: A
degenerate pseudo-parabolic equation with memory.
Comm. Appl. Ind. Math. (1) 10 (2019), pp. 53-59.
- M.Amar,
R.Gianni: Existence, uniqueness and concentration for
a system of PDEs involving the Laplace-Beltrami operator.
Interface and Free Boundaries Vol. 21 (2019), pp. 41-59.
- M.Amar,
R.Gianni: Existence and uniqueness for a two-scale
system involving tangential operators. Atti Accad. Naz.
Lincei Rend. Lincei Mat. Appl. (2019), Vol. (3) 30 (2019),
pp. 635-647.
- M.
Amar, I. de Bonis, G. Riey: Homogenization of
elliptic problems involving interfaces and
singular data. Nonlinear
Analysis Series A: Theory, Methods and
Applications, Vol. 189
(2019) 111562. Corrigendum to ``Homogenization of
elliptic problems involving interfaces and singular
data". Nonlinear Analysis 203 (2021) 112192.
- M.
Amar, D. Andreucci, R. Gianni, C. Timofte: Homogenization
results for a class of parabolic equations
with a non-local interface condition via
time-periodic unfolding. NoDEA Nonlinear
Differential Equations Appl., 26:52
(2019).
- M.
Amar, D. Andreucci, R. Gianni, C. Timofte: Homogenization
of a heat conduction problem with a total flux
boundary condition. ``24th Conference of the
Italian Association of Theoretical and Applied
Mechanics, AIMETA 2019; Rome" - Lecture Notes in
Mechanical Engineering, Springer (2020), pp.
1475-1487.
- M.
Amar, D. Andreucci, R. Gianni, C. Timofte: Concentration
and homogenization in electrical conduction in
heterogeneous media involving the Laplace-Beltrami
operator. Calculus of Variations and Partial
Differential Equations, (3) 59:99 (2020).
- M.
Amar, G. Riey: Homogenization
of singular elliptic systems with nonlinear
conditions on the interfaces.
J. Elliptic Parabol. Equ., Vol. (2) 6
(2020), pp. 633-654.
https://doi.org/10.1007/s41808-020-00075-9.
- M. Amar, D.
Andreucci, R. Gianni, C. Timofte: Well-posedness of
two pseudo-parabolic problems for electrical
conduction in heterogenous media. J. Math. Anal.
Appl. (2) 493:124533 (2021),
https://doi.org/10.1016/j.jmaa.2020.124533, published
online 2020.
- M. Amar, D.
Andreucci, C. Timofte: Well-posedness for a
modified bidomain model describing bioelectric
activity in damaged heart tissues.
Mediterranean Journal of Mathematics (2021) 18:208,
https://doi.org/10.1007/s00009-021-01839-w.
- M. Amar, D.
Andreucci, C. Timofte: Homogenization of a
modified bidomain model involving imperfect
transmission. Comm. Pure Appl. Anal. (5) 20
(2021), pp. 1755-1782,
https://doi.org/10.3934/cpaa.2021040.
- M.
Amar, D. Andreucci, E.N.M. Cirillo: Diffusion in
inhomogeneous media with periodic microstructures. Zeitschrift für
Angewandte Mathematik und Mechanik, e202000070 (2021)
https://doi.org/10.1002/zamm.20200007,
(12)101 (2021).
- M.
Amar, D. Andreucci, C. Timofte: Heat
conduction in composite media involving
imperfect contact and perfectly
conductive inclusions. Math. Meth.
Appl. Sci. Online Version 2022, 1--25,
doi:10.1002/mma.8453. Published in Issue:
2022, 45:11355--11379.
- M.
Amar, J. Matias, M. Morandotti, E.
Zappale: Periodic homogenization in
the context of structured deformations.
Zeitschrift für angewandte Mathematik und
Physik (2022) 73:173.
doi:10.1007/s00033-022-01817-6.
- M.
Amar, D. Andreucci, C. Timofte: Asymptotic
analysis for non-local problems in
composites with different imperfect
contact conditions. Applicable
Analysis, published online 2022, https://doi.org/10.1080/00036811.2022.2120867,
(16) 102, pp. 4518--4547, 2023.
- M. Amar, D.
Andreucci, C. Timofte: Interface
potential in composites
with general imperfect
transmission conditions.
Zeitschrift
für angewandte
Mathematik und
Physik (2023)
74(5), 200.
- M. Amar, A.
Ayub, R. Gianni: Double
layer concentration and
homogenization for the
heat diffusion in a
composite material.
Mathematics and
Mechanics of Complex Systems, (1)12, pp. 19-45, 2024.
- M.
Amar, A. Ayub,
R. Gianni: Homogenization
of composite
media with
non-standard
transmission
conditions. J.
Math. Anal.
Appl., (2)537
(2024),
128434.
Abstracts e Posters di
convegni
- M.Amar, P.Muliere, P.Secchi:
Una nota sul problema della stabilità delle
decisioni Bayesiane. - Atti della XXXVIII Riunione
Scientifica della S.I.S., Rimini 9-13 Aprile 1996, vol. II,
Maggioli Editore, pp. 337-344.
- M.Amar : Shape reconstruction for membranes subjected to
lifting forces. – Atti del VI Congresso SIMAI 2002,
Chia Laguna 27-31 Maggio 2002.
- M.Amar,
D.Andreucci, P.Bisegna, R.Gianni: Evolution
and memory effects in the homogenization limit for
electrical conduction in biological tissues: the 1-D
case.- Proceedings del XVI Congresso AIMETA
di Meccanica Teorica e Applicata, Ferrara (2003).
- M.Amar, V.De
Cicco: Quasy-polyedral
approximation of $BV$-functions. - Poster per il
convegno ``The Renato Caccioppoli Centenary Conference",
Napoli 2004.
- M.Amar,
D.Andreucci, P.Bisegna, R.Gianni: Applications of
homogenization techniques to the electrical conduction
in biological tissues. - PAMM - Proc. Appl. Math. Mech., 7
2010013–2010014 (2007) / DOI 10.1002/pamm.200700041 (Proceedings ICIAM
2007).
- Micol Amar,
Daniele Andreucci, Roberto Gianni: Linear and nonlinear
models for electrical conduction in biological
tissues.- in Abstracts del
convegno SIMAI 2014, MSP-Signal and image processing
techniques, and applications - Taormina 7-10 Luglio
2014, pp.226-227.
- Micol Amar,
Daniele Andreucci, Dario Bellaveglia: Alternating
Robin-Neumann boundary value problem as a model for
transport through biological membranes. - in
Book of Abstracts del convegno First joint meeting
Brazil Italy of Mathematics - Rio de Janeiro (Brasile)
29 Agosto - 2 Settembre 2016, pp. 114.
- Micol
Amar, Daniele Andreucci, Dario Bellaveglia: Homogenization
of a parabolic problem with alternating boundary
conditions. - in Abstracts del convegno SIMAI
2016, MS7-Mathematical Methods and Models in Complex
Structures - Milano 13-16 Settembre 2016, pp. 99.
- Micol
Amar: Homogenization of a heat
conduction problem involving tangential operators.
- in Abstracts del convegno International Conference
on Elliptic and Parabolic Problems - Gaeta, May 22–26,
2017, pp. 8.
- Giuseppe Riey, Micol Amar, Ida de Bonis: Derivation
of macroscopic equilibrium models for heat conduction in
finely mixed composite media with singular
sources - in
Book of Abstracts of SIMAI 2018, MS-22: Mathematical
models for heterogeneous media in applied sciences -
Roma 2-6 Luglio 2018, pp.313-314.
- Micol Amar, Daniele Andreucci, Roberto Gianni, Claudia
Timofte: Homogenization
in heterogeneous media modeled by the Laplace-Beltrami
operator.- in Book of Abstracts of
SIMAI 2018, MS-25: Complexity reduction: mathematical
modelling and control - part II (keynote) - Roma 2-6 Luglio
2018, pp.368-369.
- Micol Amar,
Roberto Gianni: Existence and uniqueness for some
two-scale systems involving tangential
operators - in Book of
Abstracts of SIMAI 2018, MS-28: Variational approaches
to problems in continuum mechanics - part I - Roma 2-6
Luglio 2018, pp.404.
- Micol Amar,
Daniele Andreucci, Roberto Gianni, Claudia Timofte: Homogenization
of composite media with highly conductive inclusions
- in Book of Abstracts of XXIV Congresso AIMETA
2019, MS10: Dynamics and Stability of Mechanical
Systems (GADeS), Roma 15-19 Settembre 2019, pp. 303.
- Micol Amar,
Daniele Andreucci, Emilio Cirillo: Diffusion in
finely mixed materials, the role of Fokker-Planck
and Fick laws - in Book of Abstracts of XXIV
Congresso AIMETA 2019, MS10: Dynamics and Stability of
Mechanical Systems (GADeS), Roma 15-19 Settembre 2019,
pp. 281.
- Micol Amar: Electrical
conduction and heat diffusion in composites with
imperfect contact conditions. - in Book of
Abstracts of SIMAI 2023, MS-02: Mathematical modelling and
control for healthcare and biomedical systems - Matera 29
Agosto - 1 Settembre 2023, pp.44.
Pubblicazioni didattiche
e trattati scientifici
- M.Amar, A.M.Bersani: Esercizi di
Analisi Matematica per i nuovi corsi di laurea. –
Edizioni Progetto Leonardo, Bologna, 2002.
- M.Amar, A.M.Bersani: Esercizi di
Analisi Matematica per i nuovi corsi di laurea. II
Edizione
riveduta ed ampliata – Edizioni Progetto
Leonardo, Bologna, 2004.
- M.Amar: Semicontinuità
e Rilassamento. – Quaderno di dottorato n.1,
Pubblicazione del Dipartimento S.B.A.I. ex-Me.Mo.Mat., 2004.
- M.Amar, A.M.Bersani: Esercizi di
Analisi Matemtica I con
elementi di teoria – Edizioni Progetto
Leonardo, Bologna, 2011.
- M.Amar, A.M.Bersani: Analisi
Matemtica I: esercizi e richiami di teoria – Edizioni
La Dotta, 2012; Edizione Amazon (2022) Asin: B0BCRXJM2M
(Errata corrige).
- M.Amar: Introduzione
alla $\Gamma$-convergenza. – Quaderno di
dottorato, Pubblicazione del Dipartimento S.B.A.I.,
2012.
- M.Amar - F.Didone: Homogenization
techniques and applications to biological tissues.
– Quaderno di dottorato, Pubblicazione del Dipartimento S.B.A.I.,
2012.
- M.Amar, A.M.Bersani: Analisi
Matemtica II: esercizi e richiami di teoria – Edizioni
La Dotta, 2014; Edizione Amazon (2022) Asin: B0BF2ZP43Y
(Errata corrige).
Tesi
- M.Amar: G-convergence of quasi-linear ordinary
differential operators of monotone type. – Tesi di
Magister Philosophiae - S.I.S.S.A. (1990).
- M.Amar: Relaxation and
approximation of variational problems with linear growth.
– Tesi di Doctor Philosophiae - S.I.S.S.A. (1993).