Modelli di phase-field conservati con memoria nello spazio delle storie
Modelling fluid flow and heat transfer in a saturated porous medium.
Modelling of convective phenomena in forest fire.
We present a model coupling the fire propagation equations in a bidimensional domain representing the surface, and the air movement equations in a three dimensional domain representing an air layer. As the air layer thickness is small compared with its length, an asymptotic analysis gives a three dimensional convective model governed by a bidimensional equation verified by a stream function. We also present the numerical simulations of these equations.
Modelling of free boundary problems for phase change with diffuse interfaces.
Modelling of the Czochralski flow.
Models for phase separation and their mathematics.
Modulational instability stabilization via complex Whitham deformations: Nonlinear Schrödinger equation
Monotone Iterative Methods for Finite Difference System of Reaction-Diffusion Equations.
Motion of spirals by crystalline curvature
Motion of spirals by crystalline curvature
Modern physics theories claim that the dynamics of interfaces between the two-phase is described by the evolution equations involving the curvature and various kinematic energies. We consider the motion of spiral-shaped polygonal curves by its crystalline curvature, which deserves a mathematical model of real crystals. Exploiting the comparison principle, we show the local existence and uniqueness of the solution.
Motion planning for a nonlinear Stefan problem
In this paper we consider a free boundary problem for a nonlinear parabolic partial differential equation. In particular, we are concerned with the inverse problem, which means we know the behavior of the free boundary a priori and would like a solution, e.g. a convergent series, in order to determine what the trajectories of the system should be for steady-state to steady-state boundary control. In this paper we combine two issues: the free boundary (Stefan) problem with a quadratic nonlinearity....
Motion Planning for a nonlinear Stefan Problem
In this paper we consider a free boundary problem for a nonlinear parabolic partial differential equation. In particular, we are concerned with the inverse problem, which means we know the behavior of the free boundary a priori and would like a solution, e.g. a convergent series, in order to determine what the trajectories of the system should be for steady-state to steady-state boundary control. In this paper we combine two issues: the free boundary (Stefan) problem with a quadratic nonlinearity....
Moving heat source reconstruction from the Cauchy boundary data.
Multidisciplinary design optimization of film-cooled gas turbine blades.
Multigrid solution of a two-phase Stefan problem with prescribed convection
Multiple objective optimization of hydro-thermal systems using Ritz's method.
Non-classical phase transitions at a sonic point.
Non-Euclidean structures as internal variables in non-equilibrium thermomechanics.
Non-Fourier heat removal from hot nanosystems through graphene layer
Nonlocal effects on heat transport beyond a simple Fourier description are analyzed in a thermodynamical model. In the particular case of hot nanosystems cooled through a graphene layer, it is shown that these effects may increase in a ten percent the amount of removed heat, as compared with classical predictions based on the Fourier law.
Nonhomogeneous boundary value problem for one-dimensional compressible viscous micropolar fluid model: Regularity of the solution.