33 citations · 66 across the 10 of their papers we have counts for
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A semidiscrete Galerkin scheme for a coupled two-scale elliptic-parabolic system: well-posedness and convergence approximation rates
Martin Lind, Adrian Muntean, Omar Richardson
In this paper, we study the numerical approximation of a coupled system of elliptic-parabolic equations posed on two separated spatial scales. The model equations describe the inte…
Driven particle flux through a membrane: Two-scale asymptotics of a diffusion equation with polynomial drift
Emilio N. M. Cirillo, Ida de Bonis, Adrian Muntean +1
Diffusion of particles through an heterogenous obstacle line is modeled as a two-dimensional diffusion problem with a one--directional nonlinear convective drift and is examined us…
Well-posedness and inverse Robin estimate for a multiscale elliptic/parabolic system
Martin Lind, Adrian Muntean, Omar Richardson
We establish the well-posedness of a coupled micro-macro parabolic-elliptic system modeling the interplay between two pressures in a gas-liquid mixture close to equilibrium that is…
Discrete and continuum links to a nonlinear coupled transport problem of interacting populations
Manh Hong Duong, Adrian Muntean, Omar Richardson
We are interested in exploring interacting particle systems that can be seen as microscopic models for a particular structure of coupled transport flux arising when different popul…