Transient MHD double-diffusive natural convection over a vertical surface embedded in a non-Darcy porous medium.
Transizioni di fase ed isteresi
L'attività di ricerca di chi scrive si è finora indirizzata principalmente verso l'esame dei modelli di transizione di fase, dei modelli di isteresi, e delle relative equazioni non lineari alle derivate parziali. Qui si illustrano brevemente tali problematiche, indicando alcuni degli elementi che le collegano tra di loro. Il lavoro è organizzato come segue. I paragrafi 1, 2, 3 vertono sulle transizioni di fase: si introducono le formulazioni forte e debole del classico modello di Stefan, e si illustrano...
Traveling waves in rapid solidification.
Travelling fronts in cylinders
Travelling waves for gas-solid reactions.
Bounded traveling waves, arising in combustion model for gas-solid reactions in a porous medium, are studied. We consider the existence, uniqueness and several qualitative properties. In particular we investigate waves with finiteness and derive estimates in the limit of vanishing diffusion.
Travelling Waves of Fast Cryo-chemical Transformations in Solids (Non-Arrhenius Chemistry of the Cold Universe)
Propagation of chemical waves at very low temperatures, observed experimentally [V.V. Barelko et al., Advances in Chem. Phys. 74 (1988), 339-384.] at velocities of order 10 cm/s, is due to a very non- standard physical mechanism. The energy liberated by the chemical reaction induces destruction of the material, thereby facilitating the reaction, a process very different from standard combustion. In this work we present recent experimental results and develop a new mathematical model which takes...
Two-stage stochastic programming approach to a PDE-constrained steel production problem with the moving interface
The paper is concerned with a parallel implementation of the progressive hedging algorithm (PHA) which is applicable for the solution of stochastic optimization problems. We utilized the Message Passing Interface (MPI) and the General Algebraic Modelling System (GAMS) to concurrently solve the scenario-related subproblems in parallel manner. The standalone application combining the PHA, MPI, and GAMS was programmed in C++. The created software was successfully applied to a steel production problem...
Una equazione parabolica in teoria della combustione: problemi diretti ed inversi
Unconditional nonlinear exponential stability in the Bénard problem for a mixture: necessary and sufficient conditions
The Lyapunov direct method is applied to study nonlinear exponential stability of a basic motionless state to imposed linear temperature and concentration fields of a binary fluid mixture heated and salted from below, in the Oberbeck-Boussinesq scheme. Stress-free and rigid surfaces are considered and absence of Hopf bifurcation is assumed. We prove the coincidence of the linear and (unconditional) nonlinear critical stability limits, when the ratio between the Schmidt and the Prandtl numbers is...
Uniqueness theorems for steady, compressible, heat-conducting fluids: bounded domains
Si fornisce un teorema di unicità per moti stazionari regolari di fluidi compressibili, viscosi, termicamente conduttori, svolgentisi in regioni limitate dello spazio fisico.
Unsteady flow of a radiating gas between concentric cylinders
Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders.
Upper and lower bounds for a reactive-diffuse system with Arrhenius kinetics.
Upwind computation of steady planar flames with complex chemistry
Using explicit schemes for control problems in continuous casting process.
Ustálené teplotní pole v nekonečné rovinné desce z více vrstev s obecným rozložením teploty na okrajových stěnách
Valuation of game options in jump-diffusion model and with applications to convertible bonds.
Variable viscosity on magnetohydrodynamic fluid flow and heat transfer over an unsteady stretching surface with Hall effect.
Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase
We study a variational formulation for a Stefan problem in two adjoining bodies, when the heat conductivity of one of them becomes infinitely large. We study the «concentrated capacity» model arising in the limit, and we justify it by an asymptotic analysis, which is developed in the general framework of the abstract evolution equations of monotone type.
Variational finite element approach to a heat flow problem in human limbs.