A self-consistent numerical method for simulation of quantum transport in high electron mobility transistor. II: The full quantum transport.
A single cell-based model of the ductal tumour microarchitecture.
A -Stable Linear Multistep Methods for Volterra Integro-Differential Equations.
Activities in a one-dimensional continuous neural network
An existence theorem for Volterra integrodifferential equations with infinite delay.
An immediate analysis for global superconvergence for integrodifferential equations
In this paper we study the finite element approximations to the parabolic and hyperbolic integrodifferential equations and present an immediate analysis for global superconvergence for these problems, without using the Ritz projection or its modified forms.
An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation
One parabolic integrodifferential problem in the abstract real Hilbert spaces is studied in this paper. The semidiscrete and full discrete approximate solution is defined and the error estimate of Rothe's function in some function spaces is established.
Analyse mathématique des transferts thermiques dans des systèmes dispersés subissant des transformations de phases
Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases.
Application of accretive operators theory to evolutive combined conduction, convection and radiation.
The accretive operators theory is employed for proving an existence theorem for the evolutive energy equations involving simultaneously conduction, stationary convection (in the sense that the velocity field is assumed to be time independent), and radiation. In doing that we need to use new existence results for elliptic linear problems with mixed boundary conditions and irregular data.
Application of Rothe's method to evolution integrodifferential equations.
Application of Rothe's method to evolution integrodifferential systems
Applications of the Kantorovich-Rubinstein maximum principle in the theory of Markov semigroups [Book]
Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density.
Asymptotic behavior of a predator-prey diffusion system with time delays.
Asymptotic behaviour of a transport equation
We study the asymptotic behaviour of the semigroup of Markov operators generated by the equation . We prove that for a > 1 this semigroup is asymptotically stable. We show that for a ≤ 1 this semigroup, properly normalized, converges to a limit which depends only on a.
Asymptotic justification of the conserved phase-field model with memory.
Asymptotic stability in L¹ of a transport equation
We study the asymptotic behaviour of solutions of a transport equation. We give some sufficient conditions for the complete mixing property of the Markov semigroup generated by this equation.
Asymptotic stability of a linear Boltzmann-type equation
We present a new necessary and sufficient condition for the asymptotic stability of Markov operators acting on the space of signed measures. The proof is based on some special properties of the total variation norm. Our method allows us to consider the Tjon-Wu equation in a linear form. More precisely a new proof of the asymptotic stability of a stationary solution of the Tjon-Wu equation is given.
Asymptotic stability of a partial differential equation with an integral perturbation
We study the asymptotic behaviour of the Markov semigroup generated by an integro-partial differential equation. We give new sufficient conditions for asymptotic stability of this semigroup.