90 citations · 92 across the 4 of their papers we have counts for
4 papers
Homogenization of a pseudo-parabolic system via a spatial-temporal decoupling: upscaling and corrector estimates for perforated domains
Arthur Johannes Vromans, Fons van de Ven, Adrian Muntean
In this paper, we determine the convergence speed of an upscaling of a pseudo-parabolic system containing drift terms with scale separation of size . Both the upscaling and…
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…
Existence of weak solutions for a pseudo-parabolic system coupling chemical reactions, diffusion and momentum equations
Arthur J. Vromans, A. A. F. van de Ven, Adrian Muntean
We study the weak solvability of a nonlinearly coupled system of parabolic and pseudo-parabolic equations describing the interplay between mechanics, chemical reactions, diffusion…
Orientational properties of nematic disclinations
Arthur J. Vromans, Luca Giomi
Topological defects play a pivotal role in the physics of liquid crystals and represent one of the most prominent and well studied aspects of mesophases. While in two-dimensional n…