Effective interface conditions for a porous medium type problem

Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Quasilinear parabolic equations (35K59)

Cites Work

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Bulk-surface coupling: derivation of two models
Functional analysis, Sobolev spaces and partial differential equations
Reinforcement problems for elliptic equations and variational inequalities
Modelling the role of cell-cell adhesion in the growth and development of carcinomas
Tumor growth model of ductal carcinoma: from \textit{in situ} phase to stroma invasion
A spatial model of cellular molecular trafficking including active transport along microtubules
Kato's inequality when \(\Delta u\) is a measure
Existence of a global weak solution for a reaction-diffusion problem with membrane conditions
Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes
Singular limit for reactive transport through a thin heterogeneous layer including a nonlinear diffusion coefficient
Existence and qualitative theory for nonlinear elliptic systems with a nonlinear interface condition used in electrochemistry
Correctors and error estimates for reaction-diffusion processes through thin heterogeneous layers in case of homogenized equations with interface diffusion
A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents
Global existence theorem for a model governing the motion of two cell populations
Problèmes de perturbations lies aux phénomènes de conduction à travers des couches minces de grande resistivite
Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications
Individual-based and continuum models of growing cell populations: a comparison
The Hele-Shaw asymptotics for mechanical models of tumor growth
Schrödinger operators with singular potentials
Computational Modeling of Solid Tumor Growth: The Avascular Stage
Mathematical Models of Avascular Tumor Growth
Effective Transmission Conditions for Reaction-Diffusion Processes in Domains Separated by an Interface
Asymptotic analysis of a Dirichlet problem for the heat equation on a coated body
Mathematical and Numerical Modeling of Solute Dynamics in Blood Flow and Arterial Walls
Porous medium equation to Hele-Shaw flow with general initial density
Effective Boundary Conditions for the Heat Equation with Interior Inclusion
A two-species hyperbolic–parabolic model of tissue growth
Derivation and Application of Effective Interface Conditions for Continuum Mechanical Models of Cell Invasion through Thin Membranes
ANALYSIS OF PARABOLIC PROBLEMS ON PARTITIONED DOMAINS WITH NONLINEAR CONDITIONS AT THE INTERFACE: APPLICATION TO MASS TRANSFER THROUGH SEMI-PERMEABLE MEMBRANES
Nonlinear modelling of cancer: bridging the gap between cells and tumours

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