Cover Image

A mathematical model for colloids deposition in porous media combined with a moving boundary at the microscale: Solvability and numerical simulation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Nikolopoulos, Christos, Eden, Michael, Muntean, Adrian
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs Numerical Analysis 35K61, 65N30, 35B27, 76S05, 80M40
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Analysis and Simulation of a Fluid-Heat System in a Thin, Rough Layer in Contact With a Solid Bulk Domain
by: Freudenberg, Tom, et al.
Published: (2024)

Precomputing approach for a two-scale phase transition model
by: Eden, Michael, et al.
Published: (2024)

Computational orders of convergence of iterative methods for Richards' equation
by: Suciu, Nicolae, et al.
Published: (2024)

A numerical scheme for solving an induction heating problem with moving non-magnetic conductor
by: Le, Van Chien, et al.
Published: (2023)

Derivation and Numerical Simulation of a Thermodynamically Consistent Magneto Two-Phase Flow Model for Magnetic Drug Targeting
by: Bänsch, Eberhard, et al.
Published: (2025)

Effective Heat Transfer Between a Porous Medium and a Fluid Layer: Homogenization and Simulation
by: Eden, Michael, et al.
Published: (2022)

Thermo-Elasticity Problems with Evolving Microstructures
by: Eden, Michael, et al.
Published: (2024)

Long-time stable SAV-BDF2 numerical schemes for the forced Navier-Stokes equations
by: Han, Daozhi, et al.
Published: (2024)

Effective interface laws for fluid flow and solute transport through thin reactive porous layers
by: Gahn, Markus, et al.
Published: (2024)

Error analysis for the approximation of a flow in deformable porous media with nonlinear strain-stress relation
by: Bonito, Andrea, et al.
Published: (2026)

An initial-boundary value problem describing moisture transport in porous media: existence of strong solutions and an error estimate for a finite volume scheme
by: Morimura, Akiko, et al.
Published: (2025)

Computational homogenization of unsteady flows in a periodic porous medium
by: Vabishchevich, P. N.
Published: (2026)

Convergence of approximate solutions constructed by the finite volume method for the moisture transport model in porous media
by: Morimura, Akiko, et al.
Published: (2025)

Sixth-order parabolic equation on an interval: Eigenfunction expansion, Green's function, and intermediate asymptotics for a finite thin film with elastic resistance
by: Papanicolaou, Nectarios C., et al.
Published: (2024)

Energy-based modeling for field-circuit coupling
by: Altmann, Robert, et al.
Published: (2025)

Analytic description of the moving moisture front in soils
by: Detmann, Bettina, et al.
Published: (2026)

A fourth-order cut-cell method for solving the two-dimensional advection-diffusion equation with moving boundaries
by: Liang, Kaiyi, et al.
Published: (2025)

Homogenization of a micropolar fluid past a porous media with non-zero spin boundary condition
by: Suárez-Grau, Francisco J.
Published: (2025)

General boundary conditions for a Boussinesq model with varying bathymetry
by: Lannes, David, et al.
Published: (2024)

Stokes-Brinkman-Darcy models for fluid-porous systems: derivation, analysis and validation
by: Ruan, Linheng, et al.
Published: (2024)

The Collisional Particle-In-Cell Method for the Vlasov-Maxwell-Landau Equations
by: Bailo, Rafael, et al.
Published: (2024)

$C^1$-Regularity of the Free Boundary for Hele-Shaw Flow with Source and Drift
by: Zhang, Yuming Paul
Published: (2026)

A hybrid-dimensional Stokes--Brinkman--Darcy model for arbitrary flows to the fluid--porous interface
by: Ruan, Linheng, et al.
Published: (2025)

Semi-discrete finite element approximation applied to Maxwell's equations in nonlinear media
by: Angermann, Lutz
Published: (2019)

Blow-up problem for porous medium equation with absorption under nonlinear nonlocal boundary condition
by: Gladkov, Alexander
Published: (2025)

Well-conditioned dipole-type method of fundamental solutions: derivation and its mathematical analysis
by: Sakakibara, Koya
Published: (2024)

An adaptive Newton-based free-boundary Grad-Shafranov solver
by: Serino, Daniel A., et al.
Published: (2024)

Numerical reconstruction of Schrödinger equations with quadratic nonlinearities
by: Maddah, Khaoula El, et al.
Published: (2025)

The 3D Euler equations with inflow, outflow and vorticity boundary conditions
by: Gie, Gung-Min, et al.
Published: (2022)

Homogenisation for Maxwell and Friends
by: Buchinger, Andreas, et al.
Published: (2024)

Global random walk for one-dimensional one-phase Stefan-type moving-boundary problems: Simulation results
by: Suciu, Nicolae, et al.
Published: (2024)

Discretize first, filter next: learning divergence-consistent closure models for large-eddy simulation
by: Agdestein, Syver Døving, et al.
Published: (2024)

Lattice Green's Functions for High Order Finite Difference Stencils
by: Gabbard, James, et al.
Published: (2023)

Sediment Concentration Estimation via Multiscale Inverse Problem and Stochastic Homogenization
by: Li, Jiwei, et al.
Published: (2025)

Higher-order multiscale method and its convergence analysis for nonlinear thermo-electric coupling problems of composite structures
by: Dong, Hao, et al.
Published: (2025)

Constructive proofs for some semilinear PDEs on $H^2(e^{|x|^2/4},\mathbb{R}^d)$
by: Breden, Maxime, et al.
Published: (2024)

The vortex blob method as a second-grade non-Newtonian fluid
by: Oliver, Marcel, et al.
Published: (1999)

On the effects of surface roughness in non-isothermal porous medium flow
by: Anguiano, María, et al.
Published: (2025)

Improved moduli of continuity for degenerate phase transitions
by: Gianazza, Ugo, et al.
Published: (2024)

Rigorous derivation of an effective model for coupled Stokes advection, reaction and diffusion with freely evolving microstructure
by: Gahn, Markus, et al.
Published: (2024)