On modelling the drying of porous materials: Analytical solutions to coupled partial differential equations governing heat and moisture transfer.
On the asymptotic approach to thermosolutal convection in heated slow reactive boundary layer flows.
On the bifurcation of flows of a heat-conducting fluid between two rotating permeable cylinders.
On the dissipation layer of radial bearings.
On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting capillary fluid.
On the Lauwerier formulation of the temperature field problem in oil strata.
On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. II
A quasilinear noncoupled thermoelastic system is studied both on a threedimensional bounded domain with a smooth boundary and for a generalized model involving the influence of supports. Sufficient conditions are derived under which the stresses are bounded and continuous on the closure of the domain.
On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes
The continuity and boundedness of the stress to the solution of the thermoelastic system is studied first for the linear case on a strip and then for the twodimensional model involving nonlinearities, noncontinuous heating regimes and isolated boundary nonsmoothnesses of the heated body.
On the solution of reaction-diffusion equations with double diffusivity.
On the thermal aspect of dynamic contact problems
A short survey of available existence results for dynamic contact problems including heat generation and heat transfer is presented.
On three-dimensional dynamic problems of generalized thermoelasticity.
On three-dimensional dynamical problems of the generalized theory of elastothermodiffusion.
One-dimensional compressible viscous micropolar fluid model: stabilization of the solution for the Cauchy problem.
Optimal Convective Heat-Transport
The one-dimensional steady-state convection-diffusion problem for the unknown temperature of a medium entering the interval with the temperature and flowing with a positive velocity is studied. The medium is being heated with an intensity corresponding to for a constant . We are looking for a velocity with a given average such that the outflow temperature is maximal and discuss the influence of the boundary condition at the point on the “maximizing” function .
Optimization approaches to some problems of building design
Advanced building design is a rather new interdisciplinary research branch, combining knowledge from physics, engineering, art and social science; its support from both theoretical and computational mathematics is needed. This paper shows an example of such collaboration, introducing a model problem of optimal heating in a low-energy house. Since all particular function values, needed for optimization are obtained as numerical solutions of an initial and boundary value problem for a sparse system...
Optimization of plunger cavity
In the contribution we present a problem of shape optimization of the cooling cavity of a plunger that is used in the forming process in the glass in dustry. A rotationally symmetric system of the mould, the glass piece, the plunger and the plunger cavity is considered. The state problem is given as a stationary heat conduction process. The system includes a heat source representing the glass piece that is cooled from inside by water flowing through the plunger cavity and from outside by the environment surrounding...
Quasichemical Models of Multicomponent Nonlinear Diffusion
Diffusion preserves the positivity of concentrations, therefore, multicomponent diffusion should be nonlinear if there exist non-diagonal terms. The vast variety of nonlinear multicomponent diffusion equations should be ordered and special tools are needed to provide the systematic construction of the nonlinear diffusion equations for multicomponent mixtures with significant interaction between components. We develop an approach to nonlinear multicomponent...
Radiation effect on MHD free-convection flow of a gas at a stretching surface with a uniform free stream.
Regularity and optimal control of quasicoupled and coupled heating processes
Sufficient conditions for the stresses in the threedimensional linearized coupled thermoelastic system including viscoelasticity to be continuous and bounded are derived and optimization of heating processes described by quasicoupled or partially linearized coupled thermoelastic systems with constraints on stresses is treated. Due to the consideration of heating regimes being “as nonregular as possible” and because of the well-known lack of results concerning the classical regularity of solutions...
Renormalization group analysis for thermal turbulence.