On the incompressible limit for a tumour growth model incorporating convective effects
From MaRDI portal
Publication:6196281
DOI10.1002/cpa.22178arXiv2103.02564OpenAlexW3135868517MaRDI QIDQ6196281
Noemi David, Markus Schmidtchen
Publication date: 14 March 2024
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.02564
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Pathology, pathophysiology (92C32)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical simulations of the Euler system with congestion constraint
- Nonlinear elliptic and parabolic equations involving measure data
- Degenerate diffusion with a drift potential: a viscosity solutions approach
- On a free boundary barotropic model
- Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor
- Congested aggregation via Newtonian interaction
- Incompressible limit of a mechanical model for tissue growth with non-overlapping constraint
- Boundary layer formation in the transition from the porous media equation to a Hele-Shaw flow.
- Compactness for nonlinear continuity equations
- Incompressible limit for a two-species tumour model with coupling through Brinkman's law in one dimension
- Porous medium equation with a drift: free boundary regularity
- Incompressible limit of a continuum model of tissue growth for two cell populations
- Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension
- Interface dynamics in a two-phase tumor growth model
- Free boundary limit of a tumor growth model with nutrient
- Derivation of a Hele-Shaw type system from a cell model with active motion
- Hele-Shaw limit for a system of two reaction-(Cross-)diffusion equations for living tissues
- Aggregation-diffusion to constrained interaction: minimizers \& gradient flows in the slow diffusion limit
- Individual-based and continuum models of growing cell populations: a comparison
- A Hele-Shaw problem for tumor growth
- Incompressible limit of the Navier-Stokes model with a growth term
- Singular limit of the porous medium equation with a drift
- The Hele-Shaw asymptotics for mechanical models of tumor growth
- A model for the formation and evolution of traffic jams
- Phase transitions for nonlinear nonlocal aggregation-diffusion equations
- Uniqueness issues for evolution equations with density constraints
- Traveling wave solution of the Hele–Shaw model of tumor growth with nutrient
- Incompressible limit of a mechanical model of tumour growth with viscosity
- Existence and Incompressible Limit of a Tissue Growth Model with Autophagy
- Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations
- A TRAFFIC-FLOW MODEL WITH CONSTRAINTS FOR THE MODELING OF TRAFFIC JAMS
- The Mesa Problem: Diffusion Patterns for ut = ∇ · (um∇u) as m → +∞
- Porous medium equation to Hele-Shaw flow with general initial density
- Regularizing Effects for u t = Δϕ(u)
- Aggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular Limits
- A two-species hyperbolic–parabolic model of tissue growth
- Composite Waves for a Cell Population System Modeling Tumor Growth and Invasion
- Global Weak Solutions of PDEs for Compressible Media: A Compactness Criterion to Cover New Physical Situations
- Quasi-static evolution and congested crowd transport
- A tumor growth model of Hele-Shaw type as a gradient flow
- Convergence of the porous media equation to Hele-Shaw
- \(BV\) estimates in optimal transportation and applications
