12 citations · 38 across the 25 of their papers we have counts for
6 papers · 2 filters
Analysis of a projection method for the Stokes problem using an -Stokes approach
Masato Kimura, Kazunori Matsui, Adrian Muntean +1
We generalize pressure boundary conditions of an -Stokes problem. Our -Stokes problem connects the classical Stokes problem and the corresponding pressure…
Periodic homogenization of a pseudo-parabolic equation via a spatial-temporal decomposition
Arthur J. Vromans, Fons van de Ven, Adrian Muntean
Pseudo-parabolic equations have been used to model unsaturated fluid flow in porous media. In this paper it is shown how a pseudo-parabolic equation can be upscaled when using a sp…
Global weak solvability, Continuous dependence on data and large time growth of swelling moving interfaces
Kota Kumazaki, Adrian Muntean
We prove a global existence result for weak solutions to a one-dimensional free boundary problem with flux boundary conditions describing swelling along a halfline. Additionally, w…
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…
Local weak solvability of a moving boundary problem describing swelling along a halfline
Kota Kumazaki, Adrian Muntean
We obtain the local well-posedness of a moving boundary problem that describes the swelling of a pocket of water within an infinitely thin elongated pore. Our result involves fine…
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…