A system of evolution equations for non-isothermal phase transitions (original) (raw)

Existence of solutions for a mathematical model related to solid-solid phase transitions in shape memory alloys

Elena Bonetti, Pierluigi Colli, Gianni Gilardi, Mauro Fabrizio

View PDFchevron_right

Existence and uniqueness of global solutions to an extended model of the dynamical developments in shape memory alloys

Marek Niezgódka

Nonlinear Analysis-theory Methods & Applications, 1990

View PDFchevron_right

Global solutions to a model of structural phase transitions in shape memory alloys

Marek Niezgódka

Journal of Mathematical Analysis and Applications, 1988

View PDFchevron_right

A dynamical system approach to a phase transition problem

Harumi Hattori

Journal of Differential Equations, 1991

View PDFchevron_right

Unified Approach to Evolution Equations for Non-isothermal Phase Transitions

Angelo Morro

2006

View PDFchevron_right

Evolution of Phases in a Shape Memory Alloy by Local and Global Minimisations of a Non Convex Potentials

F. Lebon

Solid Mechanics and Its Applications, 1999

View PDFchevron_right

An evolution problem in materials with fading memory: solution's existence and uniqueness

Sandra Carillo: double copy of my profile. I will erase this one

Complex Variables and Elliptic Equations, 2011

View PDFchevron_right

Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials

Riccarda Rossi

Applications of Mathematics, 2008

View PDFchevron_right

A Variational Formulation of¶ Rate-Independent Phase Transformations¶ Using an Extremum Principle

Alexander Mielke

Archive for rational mechanics and analysis, 2002

View PDFchevron_right

Systems of Nonlinear Variational Inequalities Arising from Phase Transition Phenomena

Marek Niezgódka

数理解析研究所講究録, 1992

View PDFchevron_right

Evolution Problems in Materials with Memory: Exponential Decay of Solutions and Free Energies

Sandra Carillo

Communications on Pure and Applied Analysis, 2010

View PDFchevron_right

Convergent spectral approximations for the thermomechanical processes in shape memory alloys

Ruben Spies, Pedro Morin

Nonlinear Analysis: Theory, Methods & Applications, 2000

View PDFchevron_right

Nonlinear Systems Describing Phase Transition Models Compatible with Thermodynamics

Pierluigi Colli

Mathematical Models and Methods in Applied Sciences, 1999

View PDFchevron_right

A RATE-INDEPENDENT MODEL FOR THE ISOTHERMAL QUASI-STATIC EVOLUTION OF SHAPE-MEMORY MATERIALS

Alexander Mielke

Mathematical Models and Methods in Applied Sciences, 2008

View PDFchevron_right

Existence for a PDE-model of a grain boundary motion involving solidification effect (New Role of the Theory of Abstract Evolution Equations : From a Point of View Overlooking the Individual Partial Differential Equations)

教昭 山崎

数理解析研究所講究録, 2014

View PDFchevron_right

Approximation in multiscale modelling of microstructure evolution in shape-memory alloys

Tomáš Roubíček

2011

View PDFchevron_right

Plasticity Models and Nonlinear Semigroups

peter shi

Journal of Mathematical Analysis and Applications, 1997

View PDFchevron_right

Evolution problems in materials with fading memory

Sandra Carillo

2007

View PDFchevron_right

Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials

Riccarda Rossi

Journal of Differential Equations, 2008

View PDFchevron_right

Non-isothermal phase-field models and evolution equation

Angelo Morro

Archives of Mechanics, 2006

View PDFchevron_right

Phase Transition Problems in Materials with Memory

Maurizio Grasselli

Journal of Integral Equations and Applications, 1993

View PDFchevron_right

On thermodynamics of some phase change models

Mauro Fabrizio

Rendiconti del Seminario Matematico e Fisico di Milano, 1996

View PDFchevron_right

Existence and time-discretization for the finite-strain Souza–Auricchio constitutive model for shape-memory alloys

Ulisse Stefanelli

2012

View PDFchevron_right

A new dual approach for a class of phase transitions with memory: existence and long-time behaviour of solutions

Elena Bonetti

Journal De Mathematiques Pures Et Appliquees - J MATH PURE APPL, 2007

View PDFchevron_right

Remarks on the structure of evolution equations

Bohua Sun

Applied Mathematics and Mechanics, 1995

View PDFchevron_right

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

Mauro Fabrizio, Angelo Morro

Mathematical Methods in the Applied Sciences, 2008

View PDFchevron_right

Identifiability of the Landau–Ginzburg Potential in a Mathematical Model of Shape Memory Alloys

Ruben Spies

Journal of Mathematical Analysis and Applications, 1997

View PDFchevron_right

A non isothermal Ginzburg-Landau model for phase transitions in shape memory alloys

Federica Daghia, Mauro Fabrizio

Meccanica, 2010

View PDFchevron_right

Modelling phase transitions in alloys

Maria Gokieli

Nonlinear Analysis: Theory, Methods & Applications, 2005

View PDFchevron_right

Elementary Thermo-mechanical Systems and Higher Order Constraints

Hernan Cendra

Qualitative Theory of Dynamical Systems, 2020

View PDFchevron_right

A shape memory alloy model by a second order phase transition

Mauro Fabrizio

Mechanics Research Communications, 2016

View PDFchevron_right

Linear Problems Associated with Evolution Equations of the Typeutt=F(u,ux,uxx,ut)

Luquesio Jorge

Studies in Applied Mathematics, 1987

View PDFchevron_right

Striped Periodic Minimizers of a Two-Dimensional Model for Martensitic Phase Transitions

Alessandro Giuliani

Communications in Mathematical Physics, 2012

View PDFchevron_right

Finite element approximations of a nonlinear diffusion model with memory

Zurab Kiguradze, Beny Neta

Numerical Algorithms, 2013

View PDFchevron_right