MODELLI E METODI MATEMATICI NELLA FISICA DEL CONTINUO:
Pubblicazioni Recenti (membri di varie Unità di Ricerca)

  1. J.E. Muñoz Rivera, M.G. Naso, Asymptotic stability of semigroups associated with linear weak dissipative systems with memory, J. Math. Anal. Appl., 326 (2007), 691–707.
  2. J.E. Muñoz Rivera, M.G. Naso, On the decay of the energy for systems with memory with indefinite dissipation, Asymptot. Anal., 49 (2006), no. 3-4, 189-204.
  3. C. Giorgi, M.G. Naso, Mathematical models of Reissner-Mindlin thermo-viscoelastic plates, J. Thermal Stresses, 29 (2006), no. 7, 699-716. 
  4. M.G. Naso, Control problems for Euler-Bernoulli thermoelastic plates without memory and thermoelastic systems with memory, in proceedings of "Control Systems: Theory, Numerics and Applications", PoS(CSTNA2005)014.
  5. M.G. Naso, F.M. Vegni, Asymptotic behavior of the energy to a thermo-viscoelastic Mindlin-Timoshenko plate with memory, Int. J. of Pure and Appl. Math., 21 (2005), no. 2, 175-198. 
  6. M.G. Naso, Controllability to trajectories for semilinear thermoelastic plates, Discrete Contin. Dyn. Syst., suppl. (2005), 672-681. 
  7. C. Giorgi, M.G. Naso, V. Pata, Energy decay of electromagnetic systems with memory, Math. Models Methods Appl. Sci., 15 (2005), no. 10, 1489-1502. 
  8. J.E. Muñoz Rivera, M.G. Naso, Exact controllability for hyperbolic thermoelastic systems with large memory , Adv. Differential Equations, 9 (2004), no.11-12, 1369-1394. 
  9. M. Fabrizio, C. Giorgi, M.G. Naso, Viscoelastic solids of exponential type. II. Free energies, stability and attractors, Meccanica, 39 (2004), no.6, 547-561. 
  10. M. Fabrizio, C. Giorgi, M.G. Naso, Viscoelastic solids of exponential type. I. Minimal representations and controllability of the state space, Meccanica, 39 (2004), no.6, 531-546. 
  11. P. Gervasio, M.G. Naso, Numerical approximation of controllability of trajectories for Euler-Bernoulli thermoelastic plates, Math. Models Methods Appl. Sci., 14, (2004),no. 5, 701-733.
  12. J.E. Muñoz Rivera, M.G. Naso, F.M. Vegni, Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory, J. Math. Anal. Appl., 286 (2003), no.2, 692-704. 
  13. J.E. Muñoz Rivera, M.G. Naso, E. Vuk, Asymptotic behavior of the energy for electromagnetic systems with memory, Math. Meth. Appl. Sci., 7 (2004), 819-841. 
  14. J.E. Muñoz Rivera, M.G. Naso, Exact boundary controllability in thermoelasticity with memory, Adv. Differential Equations, 8 (2003), no.4, 471-490. 
  15. A. Benabdallah, M.G. Naso, Null controllability of a thermoelastic plate, Abstr. Appl. Anal. 7 (2002), no.11, 585-599. 
  16. A. Marzocchi, J.E. Muñoz Rivera, M.G. Naso, Asymptotic behavior and exponential stability for a transmission problem in thermoelasticity, Math. Meth. Appl. Sci. 25 (2002), no.11, 955-980.
  17. A. Benabdallah, M.G. Naso, Thermoelastic plate with thermal interior control, Mathematical models and methods for smart materials (Cortona, 2001), 247--250, Ser. Adv. Math. Appl. Sci., 62, World Sci. Publishing, River Edge, NJ, 2002. 
  18. A. Marzocchi, J.E. Muñoz Rivera, M.G. Naso, Transmission problem in thermoelasticity with symmetry , IMA J. Appl. Math. 68 (2003), no.1, 23-46.
  19. M.G. Naso, E. Vuk, Uniform attractors for a semilinear evolution problem in hereditary simple fluids, Internat. J. Engrg. Sci. 40 (2002), no.7, 727-742. 
  20. M.G. Naso, E. Vuk, On the exponential stability of electromagnetic systems with memory, Int. Math. J. 1 (2002), no.6, 575-590. 
  21. C. Giorgi, M.G. Naso, V. Pata, Exponential stability in linear heat conduction with memory: a semigroup approach, Commun. Appl. Anal. 5 (2001), no.1, 121-133. 
  22. C. Giorgi, M.G. Naso, E. Vuk, Exponential stability in viscoelastic and elastic systems with thermal memory, Int. J. Differ. Equ. Appl. 2 (2001), 55-91.
  23. M. Romeo Hyperbolic system of balance laws modeling dissipative ionic crystals,Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 2006;
    Birkhäuser Basel http://www.springerlink.com/content/6425662244452t40
  24. Carillo S., A Hierarchy of Approximated solutions in a Linear Elasticity Equibrium Problem, Proceedings WASCOM ’99, Xth International Conference on Waves and Stability in Continuous Media, V. Ciancio, A. Donato, F.Oliveri e S. Rionero ed.s, World Scientific Pubbl., Singapore, (2001), 86-93;
  25. Carillo S., Variational Setting of a Nonlinear Interaction Problem,Nonlinear Analysis, 47, (2001), 447-456;
  26. Carillo S., P. Podio-Guidugli, G. Vergara Caffarelli Second-Order Surface Interaction Potentials, in Rational Continua, Classical and New,M. Brocato e P. Podio-Guidugli Ed.s, Springer-Verlag, (2003), 19-38;
  27. Carillo S., Null Lagrangians and Surface Interaction Potentials in Nonlinear Elasticity, Proceedings Incontro scientifico su Modelli matematici e problemi analitici per materialispeciali, M.Fabrizio, B.Lazzari e A.Morro, Ed.s, Series on Advances in Mathematics for Applied Sciences, 62, World Scientific Publishing, River Edge, NJ, (2002), 9-19;
  28. Carillo S., Variational Setting of Nonlinear Equilibrium Problem: Wedge Discontinuity Lines, Proceedings WASCOM2001, 11th International Conference on Waves and Stability in Continuous Media, R. Monaco, M. Pandolfi Bianchi e S. Rionero, Ed.s, World Scientific Pubbl., River Edge, NJ, (2002), 136-143;
  29. Amendola G e Carillo S., Thermal work and minimum free energy in a heat conductor with memory, Quarterly Journal Mech. Appl. Math., 57 3, (2004), 429-446;
  30. Carillo S., M. Chipot e G. Vergara Caffarelli The N-Membrane Soft Constrained Problem,  J. Math. Anal. and Appl., 308, n.1, (2005), 129-139;
  31. Carillo S., M. Chipot e G. Vergara Caffarelli Non local Soft N Membrane Problem, Proceedings WASCOM2003, 12th International Conference on Waves and Stability in Continuous Media, R. Monaco, S. Pennisi, S. Rionero e T. Ruggeri, Ed.s, World Scientific Pubbl., Singapore, (2004), 116-121;
  32. Carillo S., Some Remarks on Materials with Memory: Heat Conduction and Viscoelasticity invited paper on Journal of Nonlinear Mathematical Physics in honour of Francesco Calogero’s 70-th birthday, Supplement 1, 12, 163-178, (2005);
  33. Carillo S., Evolution Problems in Materials with Fading Memory: an Existence and Uniqueness Result, invited lecture in: International Society for Analysis, its Applications and Computation, Special Session “Elliptic and Parabolic Nonlinear Problems”, Chairman F. Nicolosi, Catania, July 25-30, (2005) proceedings ISAAC 2005, 12, 163-178, (2007);
  34. C. Giorgi - M.G. Naso, Mathematical models of thin thermoviscoelastic plates, Quart. J. Mech. Appl. Math., 53 (2000) 363-374;
  35. C. Giorgi - V.Pata, Asymptotic behavior of a nonlinear hyperbolic heat equation with memory, NoDEA Nonlinear Differential Equations Appl.,  8 (2001) 157-171;
  36. C. Giorgi - V. Pata, Stability of abstract linear thermoelastic systems with memory, Math. Models Methods Appl. Sci., 11 (2001) 627-644;
  37. G.Gentili - C.Giorgi, A new model for rate-independent hysteresis in permanent magnets, Internat. J. Engrg. Sci., 39 (2001) 1057-1090;
  38. C. Giorgi - M.Grasselli - V. Pata, Well-posedness and longtime behavior of the phase-field with memory in a history space setting, Quart. Appl. Math.,  59 (2001) 701-736;
  39. C. Giorgi - J. Muñoz Rivera - V. Pata, Global attractors for a semilinear hyperbolic equation in viscoelasticity, J. Math. Anal. Appl., 260 (2001) 83-99;
  40. C. Giorgi - F.M. Vegni, Uniform energy estimates for a semilinear evolution equation of the Mindlin-Timoshenko beam with memory, Math. Comp. Modelling, 39 (2004) 1005-1021;
  41. S. Gatti - C. Giorgi - V. Pata, Navier-Stokes limit of Jeffreys type flows, Physica D, 203 (2005) 55-79;
  42. M. Fabrizio - C. Giorgi – A. Morro, A thermodynamical approach to non-isothermal phase-field evolution in continuum physics, Physica D, 214 (2006) 144-156;
  43. M. Fabrizio - C. Giorgi – A. Morro, A non-isothermal phase-field approach to the second sound transition in solids, Il Nuovo Cimento, 121 B (2006) 383-399;
  44. C. Giorgi - F. Vegni, The longtime behavior of a nonlinear Reissner-Mindlin plate with exponentially decreasing memory kernels, J. Math. Anal. Appl.,  326 (2007) 754-771;
  45. V. Berti - M. Fabrizio - C. Giorgi, Gauge-invariance and asymptotic behavior for the Ginzburg-Landau equations of superconductivity, J. Math. Anal. Appl., 329 (2007) 357-375;
  46. V. Berti - M. Fabrizio - C. Giorgi, Well-posedness for solid-liquid phase transitions with a fourth-order nonlinearity, Physica D, to appear;
  47. G.Gentili – C. Giorgi, Mathematical models for phase transition in materials with thermal memory, in Dissipative phase transitions (Cortona, 2004), P.Colli, N.Kenmochi, J.Sprekels eds., Ser. Adv. Math. Appl. Sci. 71, World Sci. Publishing, Singapore, 2005;
  48. V. Pata - E. Vuk, On the exponential stability of linear thermoelasticity, Contin. Mech. Termodyn., 12 (2000) 121-130;
  49. E. Vuk, Variational principles for electromagnetic systems with memory, Ann. Mat. Pura Appl., 179 (2001) 95-110;
  50. A. Marzocchi - E. Vuk, Global attractor for damped semilinear elastic beam equations with memory, Z.A.M.P., 54 (2003) 224-234;
  51. S. Gatti - E. Vuk, Singular limit of equations for linear viscoelastic fluids with periodic boundary conditions, Int. J. Non-Linear Mechanics, 41 (2006) 518-526;
  52. A. Scalia, M. Svanadze, On the representations of solutions of the theory of thermoelasticity with microtemperature, J. Thermal Stresses, 29 n.9 (2006) 849-864;
  53. A. Pompei, M.A. Rigano, On the bending of micropolar viscoelastic plates, Internat. J. Engrg. Sci., 44 (2006) 1324-1333;
  54. M. Ciarletta, A. Scalia, M. Svanadze, Foundamental solution in the theory of micropolar thermoelasticity for materials with voids, J. Thermal Stresses, 30, n.3 (2007) 213-229;
  55. D. Iesan. A. Scalia, Propagation of singular surfaces in thermo-microstretch continua with memory, Internat. J. Engrg. Sci., 44 (2006) 845-858;
  56. D. Iesan. A. Scalia, On the deformation of functionally graded porous elastic cylinders, J. Elasticity (2007);
  57. A. Pompei, M.A. Sumbatyan, E.A. Trojan, An efficient calculation algorithm for focusing by plane ultrasonic transducers, Applied Acoustics., 67 (2006) 420-431;
  58. A. Pompei, A. Rigano, M.A. Sumbatyan, Reconstruction of elliptic voids in the elastic half-plane: anti-plane problem, Far East Journal of Applied Mathematics, 25, n.2, (2006) 137-158;
  59. D. Iesan, A. Scalia, On complex potentials in the theory of microstretch elastic bodies, Internat. J. Engrg. Sci., 41 (2003) 1989-2003;
  60. A. Scalia, M.A. Sumbatyan, On the properties of integral equations arising in contact problems for porous elastic strip, European J. Mechanics A/Solids, 22 (2003) 489-496;
  61. A. Pompei, On the dynamical theory of mixtures of thermoelastic solids, J. Thermal Stresses, 26 (2003) 873- 888;
  62. A. Pompei, A. Scalia, On the asymptotic spatial behavior in linear thermo-elasticity of material with voids,  J. Thermal Stresses, 25 (2002) 183-194;
  63. A. Scalia, Contact problem for porous elastic strip, Internat. J. Engrg. Sci., 40 (2002) 401-410;
  64. A. Pompei, M.A. Sumbatyan, Some explicit results for three dimensional Helmholtz operator in Polyhedra, Rep. Math. Phys., 47 (2001) 371-379;
  65. A.Scalia, M.A. Sumbatyan, Explicit short-vave asymptotics for diffraction by finite-length discontinuities in waveguides: closed structures, Z. Angew. Math. Phys., 52 (2001) 631-639;
  66. A.Scalia,  Extension, bending and torsion of anysotropic microstretch elastic cylinders,  Math.  Mech. Solids, 6 (2000) 31-40;
  67.  A. Pompei - A. Scalia - M.A. Sumbatyan``Dynamics of rigid block due to horizontal ground motion", J. Engin. Mech. 124 n. 7 (1998), 713-717;
  68.  A. Scalia ``A Phragmén-Lindelof theorem for porous elastic cylinders", ZAMM 78 n.8 (1998), 571-576;
  69. A. Scalia - M.A. Sumbatyan ``On high-frequency asymptotics in diffraction by finite-length waveguides: Open structures", J. Engineering Matematics 35 (1999), 427-436;
  70. A. Pompei - A. Scalia ``On the dynamic theory of mixtures of thermoelastic solids", J. Thermal Stresses 34 (1999), 23-34;
  71. A. Scalia - M.A. Sumbatyan ``On efficient quantitative analysis in real-time ultrasonic detection of craks", Ultrasonic 37 (1999), 239-245;
  72. . A. Scalia ``On the theory of fluid mixtures", An. St. Univ. Iasi vol. 45 Fasc. 2 ser. Matematica (1999), 325-340;
  73. A. Scalia and M.A. Sumbatyan “Contact Problem for Porous Elastic Half-Plane”, J. of  Elasticity vol. 60 n. 2 (2000) 91-102;
  74. A. Scalia “Spatial and Temporal Behaviour in Elastic Materials with voids”, Acta Meccanica 151 (2001) 44-60;
  75.  S. Chirita and a. Scalia “On the Spatial and Temporal Behavior in Linear Thermolasticity of Material with Voids”, J. Thermal Stresses 24 (2001) 433-455;
  76.  M.A. Sumbatyan and A. Pompei “Some Explicit Results for Three-Dimensional Helmhotz Operator in  Polyhedra”, Reports On Mathematical Physics 47 (2001) 371-379;
  77. A. Scalia and M.A. Sumbatyan “Explicit short-wave asymptotics for diffraction by finite-length discontinuities in waveguides: closed structures” ZAMP 52 (2001) 631-639;
  78. A. Scalia, M.A. Sumbatyan. “Integral equations arising in the contact problem for porous elastic strip”  Proceeding Third Russian Cogress on the Elasticity Theory, Rostov On Don,, Third Russian Congress on the Elasticity Theory, Rostov On Don, October 13-16 2003, New Book: 334-337, 2004;
  79.  M. Rigano, A. Pompei, M.A. Sumbatyan. “Contact problem for a rectangular punch on the porous elastic half-space”. J. of Elasticity, 76: 1-19, 2004;
  80. A. Scalia, M.A. Sumbatyan “Harmonic vibration of rigid punch on the free surface of a porous elastic half-plane” Proceedings of XXXIII Int. Summer School-Conference “Advanced Problems in Mechanics”, APM 2005, Saint Petersburg (Repino) Russia, 151-158;
  81. A. Pompei, G. Matarazzo, V. Samoylenko. “One frequency asymptotic solutions to differential equation with deviated argument and slowly varying coefficients”. Proceeding of Institute of Mathematics of NAS of Ukraine, 50 (3): 1423-1428, 2005;
  82. A. Scalia. “Harmonic oscillations of a rigid punch on the porous elastic layer”. Abstract of V Russian Congress on Mixed Problems in Continuum Mechanics, Saratov, State University, 25-29 August 2005, New Book: 136, 2005;
  83. Anna Pompei, Adriana Rigano, Valery Samoylenko “Asymptotic solutions to the first order differential equations with deviated argument and slowly varying coefficients through Krylov-Bogolyubov-Mitropolskiy method” Proceeding Kiev Congress in Modern Problems of Mathematics and Theoretical Physics, pag. 23, Settembre 2004;
  84. M. Ciarletta and A. Scalia “Some results in linear theory of thermomicrostretch elastic solids” Meccanica 39 (2004) 191-206;
  85. A. Scalia, A. Pompei and S. Chirita “On the behavior of steady time-harmonic oscillations in thermoelastic materials with voids” J. thermal Stresses 27 n.3 (2004) 209-226;
  86. Dorin Iesan, Antonio Scalia “Superposed linear deformations on finite deformations of elastic materials with voids” Journal Memories of Scientific Section of Romanian Academy 26 (2003) 1-18;
  87. A. Pompei “On the dynamical theory of mixtures of thermoelastic solids” J. Thermal Stresses 26 n.9 (2003) 873- 888;
  88. A. Passerini - M.C. Patria - G. Thäter: Steady flow of a viscous incompressible flui in an unbounded funnel-shaped domain. Proc. of the Third International Conference on Navier-Stokes equations and related Nonlinear Problems (Madeira, May 21-27, 1994, Ed.: A. Sequeira, Plenum Press 1995, pag.23-31) e Annali di Mat. Pura e Applicata vol CLXXIII, 43-62 (1997);
  89. A. Borrelli - M. C. Patria: Energy bounds in dynamical problems for a semi-infinite magnetoelastic beam. ZAMP vol. 47, 880-893 (1996);
  90. A. Borrelli - M. C. Patria: Decay and other estimates for a semi-infinite magnetoelastic cylinder: Saint-Venant’s principle. Int. J. Non-linear Mech. vol. 32, 1087-1099 (1997);
  91. A. Borrelli - M. C. Patria: Saint-Venant’s principle for a piezoelectric body . SIAM J. Appl. Math. vol. 59, 1098-1111 (1999);
  92. A. Passerini - M. C. Patria - G. Th¨ater: Third-grade fluids in the aperture domain: existence, regularity and decay. Atti del 7-th Int. Conf. on Navier-Stokes equations and related nonlinear problems (Ferrara 13-17 Settembre 1999) e M3AS vol. 10, 711-736(2000);
  93. A. Borrelli - M. C. Patria: Spatial energy estimates in dynamical problems for a semi-infinite piezoelectric beam. IMA J. Appl. Math. vol. 64, 73-93 (2000);
  94. A. Passerini, M. C. Patria: Existence, uniqueness and stability of steady flows of second and third grade fluids in an unbounded pipe-like domain. Int. J. Non-linear Mech. vol. 35, 1081-1103 (2000);
  95. A. Borrelli - M. C. Patria: Saint-Venant’s estimates in anisotropic magnetohydrodynamics. Ann. Univ. Ferrara - Sez. VII - Sc. Mat. vol. XLVII, 145-167 (2001);
  96. A. Borrelli - C. O. Horgan - M. C. Patria: Saint-Venant’s principles for anti-plane shear deformations of linear piezoelectric materials. SIAM J. Appl. Math. vol. 62, 2027-2044 (2002);
  97. A. Borrelli - C. O. Horgan - M. C. Patria: Saint-Venant end effects in anti-plane shear for classes of linear piezoelectric materials. J. of Elasticity vol. 64, 217-236 (2001);
  98. A. Borrelli - C. O. Horgan - M. C. Patria: End effects for pre-stressed and pre-polarized piezoelectric solids in anti-plane shear. ZAMP vol. 54, volume dedicato a L. E. Payne, 797-806 (2003);
  99. A. Borrelli - C. O. Horgan - M. C. Patria: Exponential decay of end effects in antiplane shear for functionally graded piezoelectric materials. Proc. of Royal Soc. London A vol. 460, 1193-1212 (2004)
  100. A. Borrelli - M. C. Patria - E. Piras: Spatial decay estimates in the problem of entry flow for a Bingham fluid filling a pipe. Mathematical and Computer Modelling vol. 40, 23-42 (2004);
  101. A. Borrelli - M. C. Patria - E. Piras: Spatial decay estimate in steady motion of a micropolar fluid in a pipe. Ann. Univ. Ferrara - Sez. VII - Sc. Mat. vol. L, 1-21 (2004);
  102. A. Borrelli - C. O. Horgan - M. C. Patria: Saint-Venant end effects for plane deformations of linear piezoelectric solids. Int. J. of Solids and Structures vol. 43, 943-956 (2006);
  103. A. Borrelli - M. C. Patria: Flow and stability of a micropolar fluid past a rotating plane. Il Nuovo Cimento vol. 121 B, 79-90 (2006);
  104. A. Borrelli - M. C. Patria: Time-periodic Poiseuille flow in a pipe for some classes of fluids (in coll. con A. Borrelli). Ann. Univ. Ferrara, Sez. VII Sc. Mat. vol. 53, 13-28 (2007);

Libri:

M.A. Sumbatyan, A. Scalia “Equations of Mathematical Diffraction Theory” CRC Press, Ser. Differential and Integral Equations and Their Applications” vol. 5 (2004).


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MODELLI E METODI MATEMATICI NELLA FISICA DEL CONTINUO
MODELLI E METODI MATEMATICI NELLA FISICA DEL CONTINUO