All Stories

  1. Three-dimensional nonlocal models of deformable ferroelectrics: a thermodynamically consistent approach

    Article • Applied Mathematical Modelling, June 2023, Elsevier

    Claudio Giorgi

  2. Modelling of Electro-Viscoelastic Materials through Rate Equations

    Article • Materials, May 2023, MDPI AG

    Claudio Giorgi

  3. Techniques for the Thermodynamic Consistency of Constitutive Equations

    Article • Thermo, May 2023, MDPI AG

    Claudio Giorgi

  4. Thermodynamically-Consistent Modeling of Ferromagnetic Hysteresis

    Article • Materials, April 2023, MDPI AG

    Claudio Giorgi

  5. Plasticity

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  6. Aging and Higher-Order Grade Materials

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  7. Balance Equations

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  8. Electromagnetism of Continuous Media

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  9. Ferroics

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  10. Fluids

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  11. Generalities on Constitutive Models

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  12. Kinematics

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  13. Materials with Memory

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  14. Mathematical Modelling of Continuum Physics

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  15. Micropolar Media

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  16. Mixtures

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  17. Phase Transitions

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  18. Porous Materials

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  19. Rate-Type Models

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  20. Solids

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  21. Superconductivity and Superfluidity

    Article • January 2023, Springer Science + Business Media

    Claudio Giorgi

  22. On the Optimal Shape and Efficiency Improvement of Fin Heat Sinks

    Article • Energies, December 2022, MDPI AG

    Claudio Giorgi

  23. A Magneto-Viscoelasticity Problem with Aging

    Article • Materials, November 2022, MDPI AG

    Claudio Giorgi

  24. Viscoelastic and Electromagnetic Materials with Nonlinear Memory

    Article • Materials, September 2022, MDPI AG

    Claudio Giorgi

  25. Magneto-Viscoelastic Materials: Memory Functionals and Rate Equations

    Article • Materials, September 2022, MDPI AG

    Claudio Giorgi

  26. Rate-type models of dissipative compressible fluids

    Article • Meccanica, April 2022, Springer Science + Business Media

    Claudio Giorgi

  27. Materials with Memory: Viscoelasticity and Hysteresis

    Article • January 2022, Springer Science + Business Media

    Claudio Giorgi

  28. Nonlinear Models of Thermo-Viscoelastic Materials

    Article • Materials, December 2021, MDPI AG

    Claudio Giorgi

  29. A Thermodynamic Approach to Rate-Type Models of Elastic-Plastic Materials

    Article • Journal of Elasticity, December 2021, Springer Science + Business Media

    Claudio Giorgi

  30. Entropy Rates and Efficiency of Convecting-Radiating Fins

    Article • Energies, March 2021, MDPI AG

    Claudio Giorgi

  31. A thermodynamic approach to rate-type models in deformable ferroelectrics

    Article • Continuum Mechanics and Thermodynamics, November 2020, Springer Science + Business Media

    Claudio Giorgi

  32. A thermodynamic approach to hysteretic models in ferroelectrics

    Article • Mathematics and Computers in Simulation, October 2020, Elsevier

    Claudio Giorgi

  33. Objective rate equations and memory properties in continuum physics

    Article • Mathematics and Computers in Simulation, October 2020, Elsevier

    Claudio Giorgi

  34. Entropy Production and Efficiency in Longitudinal Convecting–Radiating Fins

    Article • September 2020, MDPI AG

    Claudio Giorgi

  35. Steady states and nonlinear buckling of cable-suspended beam systems

    Article • Meccanica, July 2018, Springer Science + Business Media

    Claudio Giorgi

  36. Reconstruction of the memory kernel, together with the solution, in a mixed linear evolution problem

    Article • Mathematical Methods in the Applied Sciences, May 2018, Wiley

    Claudio Giorgi

  37. A model of viscoelasticity with time-dependent memory kernels

    Article • American Journal of Mathematics, January 2018, Project Muse

    Claudio Giorgi

  38. Modeling of heat conduction via fractional derivatives

    Article • Heat and Mass Transfer, March 2017, Springer Science + Business Media

    Claudio Giorgi

  39. Derivation of the Landau–Lifshitz–Bloch equation from continuum thermodynamics

    Article • Physica B Condensed Matter, November 2016, Elsevier

    Claudio Giorgi

  40. Buckling and nonlinear dynamics of elastically coupled double-beam systems

    Article • International Journal of Non-Linear Mechanics, October 2016, Elsevier

    Claudio Giorgi

  41. Non-Classical Memory Kernels in Linear Viscoelasticity

    Article • September 2016, IntechOpen

    Claudio Giorgi

  42. Constitutive equations and wave propagation in Green–Naghdi type II and III thermoelectroelasticity

    Article • Journal of Thermal Stresses, July 2016, Taylor & Francis

    Claudio Giorgi

  43. Steady states of elastically-coupled extensible double-beam systems

    Article • AIMS Mathematics, January 2016, American Institute of Mathematical Sciences (AIMS)

    Claudio Giorgi

  44. Solidification and separation in saline water

    Article • Discrete and Continuous Dynamical Systems - S, December 2015, American Institute of Mathematical Sciences (AIMS)

    Claudio Giorgi

  45. Global attractors for the coupled suspension bridge system with temperature

    Article • Mathematical Methods in the Applied Sciences, May 2015, Wiley

    Claudio Giorgi

  46. Hysteresis and temperature-induced transitions in ferromagnetic materials

    Article • Applied Mathematical Modelling, January 2015, Elsevier

    Claudio Giorgi

  47. Phase-field models for transition phenomena in materials with hysteresis

    Article • Discrete and Continuous Dynamical Systems - S, October 2014, American Institute of Mathematical Sciences (AIMS)

    Claudio Giorgi

  48. Foreword

    Article • Discrete and Continuous Dynamical Systems - B, August 2014, American Institute of Mathematical Sciences (AIMS)

    Claudio Giorgi

  49. Mathematical modeling of phase transition and separation in fluids: A unified approach

    Article • Discrete and Continuous Dynamical Systems - B, August 2014, American Institute of Mathematical Sciences (AIMS)

    Claudio Giorgi

  50. On the Green-Naghdi Type III heat conduction model

    Article • Discrete and Continuous Dynamical Systems - B, August 2014, American Institute of Mathematical Sciences (AIMS)

    Claudio Giorgi

  51. On the viscoelastic coupled suspension bridge

    Article • Evolution Equations and Control Theory, August 2014, American Institute of Mathematical Sciences (AIMS)

    Claudio Giorgi

  52. Preface

    Article • Evolution Equations and Control Theory, August 2014, American Institute of Mathematical Sciences (AIMS)

    Claudio Giorgi

  53. Well-posedness and longtime behaviour of a coupled nonlinear system modeling a suspension bridge

    Article • Meccanica, July 2014, Springer Science + Business Media

    Claudio Giorgi

  54. First-Order Phase Transitions and Hysteresis

    Article • Acta Applicandae Mathematicae, May 2014, Springer Science + Business Media

    Claudio Giorgi

  55. Asymptotic behavior of coupled linear systems modeling suspension bridges

    Article • Zeitschrift für angewandte Mathematik und Physik, April 2014, Springer Science + Business Media

    Claudio Giorgi

  56. A phase-field model for quasi-incompressible solid–liquid transitions

    Article • Meccanica, March 2014, Springer Science + Business Media

    Claudio Giorgi

  57. Long-term dynamics of a viscoelastic suspension bridge

    Article • Meccanica, February 2014, Springer Science + Business Media

    Claudio Giorgi

  58. Ordinary Differential Equations (ODE)

    Article • January 2014, Springer Science + Business Media

    Claudio Giorgi

  59. Mathematical Models of Reissner-Mindlin Thermoviscoelastic Plates

    Article • January 2014, Springer Science + Business Media

    Claudio Giorgi

  60. Phase transition and separation in compressible Cahn-Hilliard fluids

    Article • Discrete and Continuous Dynamical Systems - B, December 2013, American Institute of Mathematical Sciences (AIMS)

    Claudio Giorgi

  61. Steady-state solutions for a suspension bridge with intermediate supports

    Article • Boundary Value Problems, September 2013, Springer Science + Business Media

    Claudio Giorgi

  62. Asymptotic dynamics of nonlinear coupled suspension bridge equations

    Article • Journal of Mathematical Analysis and Applications, June 2013, Elsevier

    Claudio Giorgi

  63. Free energies and pseudo-elastic transitions for shape memory alloys

    Article • Discrete and Continuous Dynamical Systems - S, November 2012, American Institute of Mathematical Sciences (AIMS)

    Claudio Giorgi

  64. LONG-TERM DYNAMICS OF THE COUPLED SUSPENSION BRIDGE SYSTEM

    Article • Mathematical Models and Methods in Applied Sciences, July 2012, World Scientific Pub Co Pte Lt

    Claudio Giorgi

  65. Phase separation in quasi-incompressible Cahn–Hilliard fluids

    Article • European Journal of Mechanics - B/Fluids, May 2011, Elsevier

    Claudio Giorgi

  66. Modeling and steady state analysis of the extensible thermoelastic beam

    Article • Mathematical and Computer Modelling, March 2011, Elsevier

    Claudio Giorgi

  67. Isotropic-nematic phase transitions in liquid crystals

    Article • Discrete and Continuous Dynamical Systems - S, November 2010, American Institute of Mathematical Sciences (AIMS)

    Claudio Giorgi

  68. A New Approach to Equations with Memory

    Article • Archive for Rational Mechanics and Analysis, March 2010, Springer Science + Business Media

    Claudio Giorgi

  69. Long-Term Damped Dynamics of the Extensible Suspension Bridge

    Article • International Journal of Differential Equations, January 2010, Hindawi Publishing Corporation

    Claudio Giorgi

  70. STEADY STATES OF THE HINGED EXTENSIBLE BEAM WITH EXTERNAL LOAD

    Article • Mathematical Models and Methods in Applied Sciences, January 2010, World Scientific Pub Co Pte Lt

    Claudio Giorgi

  71. Continuum Thermodynamics and Phase-Field Models

    Article • Milan Journal of Mathematics, October 2009, Springer Science + Business Media

    Claudio Giorgi

  72. A Phase-Field Model for Liquid-Vapor Transitions induced by Temperature and Pressure

    Article • September 2009, World Scientific Pub Co Pte Lt

    Claudio Giorgi

  73. A thermodynamic approach to ferromagnetism and phase transitions

    Article • International Journal of Engineering Science, September 2009, Elsevier

    Claudio Giorgi

  74. EXISTENCE AND UNIQUENESS FOR A THREE DIMENSIONAL MODEL OF FERROMAGNETISM

    Article • September 2009, World Scientific Pub Co Pte Lt

    Claudio Giorgi

  75. A three-dimensional phase transition model in ferromagnetism: Existence and uniqueness

    Article • Journal of Mathematical Analysis and Applications, July 2009, Elsevier

    Claudio Giorgi

  76. Global attractors for the extensible thermoelastic beam system

    Article • Journal of Differential Equations, May 2009, Elsevier

    Claudio Giorgi

  77. A Phase-Field Model for Liquid–Vapor Transitions

    Article • Journal of Non-Equilibrium Thermodynamics, January 2009, De Gruyter

    Claudio Giorgi

  78. On the extensible viscoelastic beam

    Article • Nonlinearity, February 2008, Institute of Physics Publishing

    Claudio Giorgi

  79. A continuum theory for first-order phase transitions based on the balance of structure order

    Article • Mathematical Methods in the Applied Sciences, January 2008, Wiley

    Claudio Giorgi

  80. Well-posedness for solid–liquid phase transitions with a fourth-order nonlinearity

    Article • Physica D Nonlinear Phenomena, December 2007, Elsevier

    Claudio Giorgi

  81. Gauge invariance and asymptotic behavior for the Ginzburg–Landau equations of superconductivity

    Article • Journal of Mathematical Analysis and Applications, May 2007, Elsevier

    Claudio Giorgi

  82. The longtime behavior of a nonlinear Reissner–Mindlin plate with exponentially decreasing memory kernels

    Article • Journal of Mathematical Analysis and Applications, February 2007, Elsevier

    Claudio Giorgi

  83. Mathematical Models of Reissner–Mindlin Thermoviscoelastic Plates

    Article • Journal of Thermal Stresses, June 2006, Taylor & Francis

    Claudio Giorgi

  84. MATHEMATICAL MODELS FOR PHASE TRANSITION IN MATERIALS WITH THERMAL MEMORY

    Article • March 2006, World Scientific Pub Co Pte Lt

    Claudio Giorgi

  85. A thermodynamic approach to non-isothermal phase-field evolution in continuum physics

    Article • Physica D Nonlinear Phenomena, February 2006, Elsevier

    Claudio Giorgi

  86. ENERGY DECAY OF ELECTROMAGNETIC SYSTEMS WITH MEMORY

    Article • Mathematical Models and Methods in Applied Sciences, October 2005, World Scientific Pub Co Pte Lt

    Claudio Giorgi

  87. Navier–Stokes limit of Jeffreys type flows

    Article • Physica D Nonlinear Phenomena, April 2005, Elsevier

    Claudio Giorgi

  88. Viscoelastic Solids of Exponential Type. I. Minimal Representations and Controllability

    Article • Meccanica, December 2004, Springer Science + Business Media

    Claudio Giorgi

  89. Viscoelastic Solids of Exponential Type. II. Free Energies, Stability and Attractors

    Article • Meccanica, December 2004, Springer Science + Business Media

    Claudio Giorgi

  90. Uniform energy estimates for a semilinear evolution equation of the Mindlin-Timoshenko beam with memory

    Article • Mathematical and Computer Modelling, May 2004, Elsevier

    Claudio Giorgi

  91. Global Attractors for a Semilinear Hyperbolic Equation in Viscoelasticity

    Article • Journal of Mathematical Analysis and Applications, August 2001, Elsevier

    Claudio Giorgi

  92. A new model for rate-independent hysteresis in permanent magnets

    Article • International Journal of Engineering Science, June 2001, Elsevier

    Claudio Giorgi

  93. Asymptotic behavior of a nonlinear hyperbolic heat equation with memory

    Article • Nonlinear Differential Equations and Applications NoDEA, June 2001, Springer Science + Business Media

    Claudio Giorgi

  94. STABILITY OF ABSTRACT LINEAR THERMOELASTIC SYSTEMS WITH MEMORY

    Article • Mathematical Models and Methods in Applied Sciences, June 2001, World Scientific Pub Co Pte Lt

    Claudio Giorgi

  95. Well-posedness and longtime behavior of the phase-field model with memory in a history space setting

    Article • Quarterly of Applied Mathematics, January 2001, American Mathematical Society (AMS)

    Claudio Giorgi

  96. Exponential stability of a linear viscoelastic bar with thermal memory

    Article • Annali di Matematica Pura ed Applicata (1923 -), December 2000, Springer Science + Business Media

    Claudio Giorgi

  97. Uniform attractors for a non-autonomous semilinear heat equation with memory

    Article • Quarterly of Applied Mathematics, December 2000, American Mathematical Society (AMS)

    Claudio Giorgi

  98. Mathematical models of thin thermoviscoelastic plates

    Article • The Quarterly Journal of Mechanics and Applied Mathematics, September 2000, Oxford University Press (OUP)

    Claudio Giorgi

  99. NONLINEAR SYSTEMS DESCRIBING PHASE TRANSITION MODELS COMPATIBLE WITH THERMODYNAMICS

    Article • Mathematical Models and Methods in Applied Sciences, October 1999, World Scientific Pub Co Pte Lt

    Claudio Giorgi

  100. Extremum principles in electromagnetic systems

    Article • Rendiconti del Circolo Matematico di Palermo Series 2, June 1999, Springer Science + Business Media

    Claudio Giorgi

  101. Uniform attractors for a phase-field model with memory and quadratic nonlinearity

    Article • Indiana University Mathematics Journal, January 1999, Indiana University Mathematics Journal

    Claudio Giorgi

  102. Asymptotic behavior of a semilinear problem in heat conduction with memory

    Article • Nonlinear Differential Equations and Applications NoDEA, August 1998, Springer Science + Business Media

    Claudio Giorgi

  103. On the stability for linear viscoelastic solids

    Article • Quarterly of Applied Mathematics, January 1997, American Mathematical Society (AMS)

    Claudio Giorgi

  104. Internal dissipation, relaxation property, and free energy in materials with fading memory

    Article • Journal of Elasticity, August 1995, Springer Science + Business Media

    Claudio Giorgi

  105. Free energies and dissipation properties for systems with memory

    Article • Archive for Rational Mechanics and Analysis, January 1994, Springer Science + Business Media

    Claudio Giorgi

  106. Thermodynamic properties and stability for the heat flux equation with linear memory

    Article • Quarterly of Applied Mathematics, January 1993, American Mathematical Society (AMS)

    Claudio Giorgi

  107. New variational principles in quasi-static viscoelasticity

    Article • Journal of Elasticity, October 1992, Springer Science + Business Media

    Claudio Giorgi

  108. Viscoelastic solids with unbounded relaxation function

    Article • Continuum Mechanics and Thermodynamics, May 1992, Springer Science + Business Media

    Claudio Giorgi

  109. Extremum principles for viscoelastic fluids

    Article • International Journal of Engineering Science, January 1991, Elsevier

    Claudio Giorgi

  110. Minimum principles, convexity, and thermodynamics in viscoelasticity

    Article • Continuum Mechanics and Thermodynamics, January 1989, Springer Science + Business Media

    Claudio Giorgi

  111. Sul primo principio della termodinamica per I materiali semplici

    Article • Rendiconti del Circolo Matematico di Palermo Series 2, September 1988, Springer Science + Business Media

    Claudio Giorgi

  112. Sui potenziali elettromagnetici per alcuni modelli di isteresi magnetica

    Article • Annali di Matematica Pura ed Applicata (1923 -), December 1986, Springer Science + Business Media

    Claudio Giorgi

  113. La superconduttivita’ come teoria non locale

    Article • Rendiconti del Seminario Matematico e Fisico di Milano, December 1983, Springer Science + Business Media

    Claudio Giorgi

  114. Sul criterio dell'energia per la stabilitá di un sistema termomeccanico

    Article • Annali di Matematica Pura ed Applicata (1923 -), December 1981, Springer Science + Business Media

    Claudio Giorgi

  115. An existence theorem for a nonlinear evolution equation in viscoelasticity

    Article • ANNALI DELL UNIVERSITA DI FERRARA, December 1980, Springer Science + Business Media

    Claudio Giorgi

  116. Un problema di esistenza ed unicità per un sistema linearizzato di Navier-Stokes a coefficienti non costanti

    Article • ANNALI DELL UNIVERSITA DI FERRARA, December 1978, Springer Science + Business Media

    Claudio Giorgi