# Global solution to a singular integro-differential system related to the entropy balance

@article{Bonetti2007GlobalST, title={Global solution to a singular integro-differential system related to the entropy balance}, author={Elena Bonetti and Pierluigi Colli and Mauro Fabrizio and Gianni Gilardi}, journal={Nonlinear Analysis-theory Methods \& Applications}, year={2007}, volume={66}, pages={1949-1979} }

## 25 Citations

### Global existence and long-time behaviour for a singular integro-differential phase-field system

- Mathematics
- 2007

This paper deals with a singular integro-differential PDE system
describing phase transitions in terms of nonlinear evolution equations
for micromotions and for the entropy.
The model is derived…

### Global existence for a phase separation system deduced from the entropy balance

- MathematicsNonlinear Analysis
- 2020

### Weak solutions for the fully hyperbolic phase-field system of conserved type

- Mathematics
- 2007

Abstract.We consider a conserved phase-field system coupling two nonlinear hyperbolic integro-differential equations. The model results from the assumption that the material undergoing phase…

### Time relaxation of a phase-field model with entropy balance

- Mathematics
- 2011

We deal with a system of two coupled differential equations, describing the evolution of a first order phase transition. In particular, we have two non-linear parabolic equations: the first one is…

### Stability and well posedness for a dissipative boundary condition with memory in electromagnetism

- MathematicsAppl. Math. Lett.
- 2015

### Global existence for a singular phase field system related to a sliding mode control problem

- MathematicsNonlinear Analysis: Real World Applications
- 2018

### Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity

- Materials Science
- 2006

This paper deals with a thermomechanical model describing
phase transitions with thermal memory in
terms of balance and equilibrium equations for entropy and
microforces, respectively. After a…

### Well-posedness and longtime behavior for a singular phase field system with perturbed phase dynamics

- Mathematics
- 2018

We consider a singular phase field system located in a smooth bounded domain. In the entropy balance equation appears a logarithmic nonlinearity. The second equation of the system, deduced from a…

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- Materials Science
- 2006

This paper deals with a thermomechanical model describing
phase transitions with thermal memory in
terms of balance and equilibrium equations for entropy and
microforces, respectively. After a…

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