273 citations
- Istituto Nazionale di Fisica Nucleare, Sezione di PaviaIT54 papers
- Johannes Gutenberg University MainzDE7 papers
- Sapienza University of RomeIT5 papers
- University of Modena and Reggio EmiliaIT5 papers
- Istituto Nazionale di Fisica NucleareIT4 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PadovaIT4 papers
- Istituto Nazionale per la Fisica della MateriaIT4 papers
- National Interuniversity Consortium for the Physical Sciences of MatterIT4 papers
- Politecnico di MilanoIT4 papers
- University of PaduaIT4 papers
- University of TriesteIT4 papers
- CEA Paris-SaclayFR3 papers
5 papers · 1 filter
Strong Convergence towards self-similarity for one-dimensional dissipative Maxwell models
G. Furioli, A. Pulvirenti, E. Terraneo +1
We prove the propagation of regularity, uniformly in time, for the scaled solutions of one-dimensional dissipative Maxwell models. This result together with the weak convergence to…
Existence and boundedness of solutions for a singular phase field system
Elena Bonetti, Pierluigi Colli, Mauro Fabrizio +1
This paper is devoted to the mathematical analysis of a thermomechanical model describing phase transitions in terms of the entropy and order structure balance law. We consider a m…
On the 2D Cahn-Hilliard equation with inertial term
Maurizio Grasselli, Giulio Schimperna, Sergey Zelik
P. Galenko et al. proposed a modified Cahn-Hilliard equation to model rapid spinodal decomposition in non-equilibrium phase separation processes. This equation contains an inertial…
Global and exponential attractors for the Penrose-Fife system
Giulio Schimperna
The Penrose-Fife system for phase transitions is addressed. Dirichlet boundary conditions for the temperature are assumed. Existence of global and exponential attractors is proved.…
A rate-independent model for the isothermal quasi-static evolution of shape-memory materials
Ferdinando Auricchio, Alexander Mielke, Ulisse Stefanelli
This note addresses a three-dimensional model for isothermal stress-induced transformation in shape-memory polycrystalline materials. We treat the problem within the framework of t…