Gas-solid reaction with porosity change.
General and physically privileged solutions to certain symmetric systems of linear P.D.E.s with tensor functionals as unknowns
We characterize the general solutions to certain symmetric systems of linear partial differential equations with tensor functionals as unknowns. Then we determine the solutions that are physically meaningful in suitable senses related with the constitutive functionals of two simple thermodynamic bodies with fading memory that are globally equivalent, i.e. roughly speaking that behave in the same way along processes not involving cuts. The domains of the constitutive functionals are nowhere dense...
Generalized solutions to linearized equations of thermoelastic solid and viscous thermofluid.
Global dynamics of a reaction-diffusion system.
Global existence and large time asymptotic bounds of solutions of thermal diffusive combustion systems on
Global existence for the conserved phase field model with memory and quadratic nonlinearity.
Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials
This paper is devoted to the analysis of a one-dimensional model for phase transition phenomena in thermoviscoelastic materials. The corresponding parabolic-hyperbolic PDE system features a strongly nonlinear internal energy balance equation, governing the evolution of the absolute temperature , an evolution equation for the phase change parameter , including constraints on the phase variable, and a hyperbolic stress-strain relation for the displacement variable . The main novelty of the model...
Global solution to a generalized nonisothermal Ginzburg-Landau system
The article deals with a nonlinear generalized Ginzburg-Landau (Allen-Cahn) system of PDEs accounting for nonisothermal phase transition phenomena which was recently derived by A. Miranville and G. Schimperna: Nonisothermal phase separation based on a microforce balance, Discrete Contin. Dyn. Syst., Ser. B, 5 (2005), 753–768. The existence of solutions to a related Neumann-Robin problem is established in an -dimensional space setting. A fixed point procedure guarantees the existence of solutions...
Gradient flows of non convex functionals in Hilbert spaces and applications
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space
Gradient theory of phase transitions with boundary contact energy
Groupes conformes en relativité générale