Constructive analysis and thermodynamics formulations.
Control of Stefan Problems by Means of Linear-Quadratic Defect Minimization.
Convection-radiation heat transfer in a nonlinear fluid with temperature-dependent viscosity.
Convergence of a lattice numerical method for a boundary-value problem with free boundary and nonlinear Neumann boundary conditions.
Convergence to equilibria for a three-dimensional conserved phase-field system with memory.
Convergent numerical approximations of the thermomechanical phase transitions in shape memory alloys.
Convexity and uniqueness in a free boundary problem arising in combustion theory.
We consider solutions to a free boundary problem for the heat equation, describing the propagation of flames. Suppose there is a bounded domain Ω ⊂ QT = Rn x (0,T) for some T > 0 and a function u > 0 in Ω such thatut = Δu, in Ω,u = 0 and |∇u| = 1, on Γ := ∂Ω ∩ QT,u(·,0) = u0, on Ω0,where Ω0 is a given domain in Rn and u0 is a positive and continuous function in Ω0, vanishing on ∂Ω0. If Ω0 is convex and u0 is concave in Ω0, then we show that (u,Ω) is unique and the time sections...
Cooling of a layered plate under mixed conditions.
Cooling of a plate with general boundary conditions.
Correctors and error estimates in the homogenization of a Mullins–Sekerka problem
Coupled heat transport and Darcian water flow in freezing soils
The model of coupled heat transport and Darcian water flow in unsaturated soils and in conditions of freezing and thawing is analyzed. In this contribution, we present results concerning the existence of the numerical solution. Numerical scheme is based on semi-implicit discretization in time. This work illustrates its performance for a problem of freezing processes in vertical soil columns.
Coupling of chemical reaction with flow and molecular transport
During the last years the interest in the numerical simulation of reacting flows has grown considerably. Numerical methods are available, which allow to couple chemical kinetics with flow and molecular transport. However, the use of detailed physical and chemical models, involving more than 100 chemical species, and thus more than 100 species conservation equations, is restricted to very simple flow configurations like one-dimensional systems or two-dimensional systems with very simple geometries,...
Co-volume methods for degenerate parabolic problems.