On a nonstationary model of a catalytic process in a fluidized bed.
On a numerical approach to Stefan-like problems.
On a parabolic-hyperbolic Penrose-Fife phase-field system.
On a phase transition model of Penrose-Fife type
We deal with a Penrose-Fife type model for phase transition. We assume a rather general constitutive low for the heat flux and treat the Dirichlet and Neumann boundary condition for the temperature. Some of our proofs apply to different types of boundary conditions as well and improve some results existing in the literature.
On a phase-field model with a logarithmic nonlinearity
Our aim in this paper is to study the existence of solutions to a phase-field system based on the Maxwell-Cattaneo heat conduction law, with a logarithmic nonlinearity. In particular, we prove, in one and two space dimensions, the existence of a solution which is separated from the singularities of the nonlinear term.
On a slow drift of a massive piston in an ideal gas that remains at mechanical equilibrium.
On closed-form solutions of some nonlinear partial differential equations.
On coupled thermoelastic vibration of geometrically nonlinear thin plates satisfying generalized mechanical and thermal conditions on the boundary and on the surface
The vibration problem in two variables is derived from the spatial situation (a plate as a three-dimensional body) on the basis of geometrically nonlinear plate theory (using Kármán's hypothesis) and coupled linear thermoelasticity. That leads to coupled strongly nonlinear two-dimensional equilibrium and heat conducting equations (under classical mechanical and thermal boundary conditions). For the generalized problem with subgradient conditions on the boundary and in the domain (including also...
On deterministic approximation of Markov processes by ordinary differential equations.
On dynamics of fluids in meteorology
We consider the full Navier-Stokes-Fourier system of equations on an unbounded domain with prescribed nonvanishing boundary conditions for the density and temperature at infinity. The topic of this article continues author’s previous works on existence of the Navier-Stokes-Fourier system on nonsmooth domains. The procedure deeply relies on the techniques developed by Feireisl and others in the series of works on compressible, viscous and heat conducting fluids.
On exact solutions of one-dimensional diffusion problems with free boundaries for parabolic equations.
On FEM solution for 3D continuous casting problem
On food chain in a chemostat with distinct removal rates.
On heat transfer to pulsatile flow of a two-phase fluid.
On modelling the drying of porous materials: Analytical solutions to coupled partial differential equations governing heat and moisture transfer.
On Oscillatory Instability in Convective Burning of Gas-Permeable Explosives
The experimentally known phenomenon of oscillatory instability in convective burning of porous explosives is discussed. A simple phenomenological model accounting for the ejection of unburned particles from the consolidated charge is formulated and analyzed. It is shown that the post-front hydraulic resistance induced by the ejected particles provides a mechanism for the oscillatory burning.
On pocket and empirical temperatures. An alternative choice for the heat flux vector in Eckart's relativistic thermodynamics
On some optimal control problems for the heat radiative transfer equation
On some optimal control problems for the heat radiative transfer equation
This paper is concerned with some optimal control problems for the Stefan-Boltzmann radiative transfer equation. The objective of the optimisation is to obtain a desired temperature profile on part of the domain by controlling the source or the shape of the domain. We present two problems with the same objective functional: an optimal control problem for the intensity and the position of the heat sources and an optimal shape design problem where the top surface is sought as control. The problems...
On the asymptotic approach to thermosolutal convection in heated slow reactive boundary layer flows.