Continuity of the quenching time in a heat equation with a nonlinear boundary condition.
Continuity of the quenching time in a semilinear parabolic equation
In this paper, we consider the following initial-boundary value problem [...] where Ω is a bounded domain in RN with smooth boundary ∂Ω, p > 0, Δ is the Laplacian, v is the exterior normal unit vector on ∂Ω. Under some assumptions, we show that the solution of the above problem quenches in a finite time and estimate its quenching time. We also prove the continuity of the quenching time as a function of the initial data u0. Finally, we give some numerical results to illustrate our analysis.
Continuous approximation of time-periodic solutions of a linear parabolic equation
Continuous dependence in for discontinuous solutions of the viscous -system
Continuous limits of discrete perimeters
We consider a class of discrete convex functionals which satisfy a (generalized) coarea formula. These functionals, based on submodular interactions, arise in discrete optimization and are known as a large class of problems which can be solved in polynomial time. In particular, some of them can be solved very efficiently by maximal flow algorithms and are quite popular in the image processing community. We study the limit in the continuum of these functionals, show that they always converge...
Continuous Time Collocation Methods for Volterra-Fredholm Integral Equations.
Continuous -methods for the stochastic pantograph equation.
Continuous-time finite element analysis of multiphase flow in groundwater hydrology
A nonlinear differential system for describing an air-water system in groundwater hydrology is given. The system is written in a fractional flow formulation, i.e., in terms of a saturation and a global pressure. A continuous-time version of the finite element method is developed and analyzed for the approximation of the saturation and pressure. The saturation equation is treated by a Galerkin finite element method, while the pressure equation is treated by a mixed finite element method. The analysis...
Continuum model of the two-component Becker-Döring equations.
Contraction Properties of Sequence Transformations.
Contractivity in the Numerical Solution of Initial Value Problems.
Contractivity of Locally One-Dimensional Splitting Methods.
Contractivity Preserving Explicit Linear Multistep Methods.
Contribuciones a la generalización del problema de compensación por grupos de Helmert-Pranis Pranievich.
The paper presents in a generalized form the problem of the geodetic network adjustment by the Helmert-Pranis Pranievich groups method (groups with junction points included or not). The adjustment problem, as well as the cofactor matrix derivation for the partial-independent and linkage unknowns, was completely formulated by transformed weight matrix definition and usage. A complete sequence of the computing stages for the geodetic networks divided into groups without junction points was given for...
Contribution à la résolution numérique des équations de Laplace et de la chaleur
Control and estimation of the boundary heat transfer function in Stefan problems
Control and the van der Pol equation
Control of constrained nonlinear uncertain discrete-time systems via robust controllable sets: a modal interval analysis approach
A general framework for computing robust controllable sets of constrained nonlinear uncertain discrete-time systems as well as controlling such complex systems based on the computed robust controllable sets is introduced in this paper. The addressed one-step control approach turns out to be a robust model predictive control scheme with feasible unit control horizon and contractive constraint. The solver of 1-dimensional quantified set inversion in modal interval analysis is extended to 2-dimensional...
Control of Stefan Problems by Means of Linear-Quadratic Defect Minimization.
Control of transonic shock positions
We wish to show how the shock position in a nozzle could be controlled. Optimal control theory and algorithm is applied to the transonic equation. The difficulty is that the derivative with respect to the shock position involves a Dirac mass. The one dimensional case is solved, the two dimensional one is analyzed .