Zobrazeno 1 - 10
of 449
pro vyhledávání: '"MUNTEAN, ADRIAN"'
This work presents global random walk approximations of solutions to one-dimensional Stefan-type moving-boundary problems. We are particularly interested in the case when the moving boundary is driven by an explicit representation of its speed. This
Externí odkaz:
http://arxiv.org/abs/2410.12378
In this study, we employ analytical and numerical techniques to examine a phase transition model with moving boundaries. The model displays two relevant spatial scales pointing out to a macroscopic phase and a microscopic phase, interacting on disjoi
Externí odkaz:
http://arxiv.org/abs/2407.21595
Inspired by experimental evidence collected when processing thin films from ternary solutions made of two solutes, typically polymers, and one solvent, we computationally study the morphology formation of domains obtained in three-state systems using
Externí odkaz:
http://arxiv.org/abs/2405.16459
We consider a classical model of non-equilibrium statistical mechanics accounting for non-Markovian effects, which is referred to as the Generalized Langevin Equation in the literature. We derive reduced Markovian descriptions obtained through the ne
Externí odkaz:
http://arxiv.org/abs/2405.16157
Autor:
Eden, Michael, Muntean, Adrian
We consider the mathematical analysis and homogenization of a moving boundary problem posed for a highly heterogeneous, periodically perforated domain. More specifically, we are looking at a one-phase thermo-elasticity system with phase transformatio
Externí odkaz:
http://arxiv.org/abs/2404.09726
We present a finite-volume based numerical scheme for a nonlocal Cahn-Hilliard equation which combines ideas from recent numerical schemes for gradient flow equations and nonlocal Cahn-Hilliard equations. The equation of interest is a special case of
Externí odkaz:
http://arxiv.org/abs/2404.03990
We propose a method to generate statistically representative synthetic data. The main goal is to be able to maintain in the synthetic dataset the correlations of the features present in the original one, while offering a comfortable privacy level tha
Externí odkaz:
http://arxiv.org/abs/2403.01471
Thinking of flows crossing through regular porous media, we numerically explore the behavior of weak solutions to a two-scale elliptic-parabolic system that is strongly coupled by means of a suitable nonlinear dispersion term. The two-scale system of
Externí odkaz:
http://arxiv.org/abs/2402.09607
We investigate a two-scale system featuring an upscaled parabolic dispersion-reaction equation intimately linked to a family of elliptic cell problems. The system is strongly coupled through a dispersion tensor, which depends on the solutions to the
Externí odkaz:
http://arxiv.org/abs/2311.12251
We study the periodic homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary condition posed in an unbounded perforated domain. The nonlinear problem is associated with the hydrodynamic limit of a totally asymmet
Externí odkaz:
http://arxiv.org/abs/2307.04567