Incompressible limit of the Navier-Stokes model with a growth term
From MaRDI portal
Publication:2402701
DOI10.1016/j.na.2017.07.003zbMath1370.35234arXiv1704.06090OpenAlexW2610154606MaRDI QIDQ2402701
Ewelina Zatorska, Nicolas Vauchelet
Publication date: 13 September 2017
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.06090
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Medical applications (general) (92C50)
Related Items (9)
Transport of congestion in two-phase compressible/incompressible flows ⋮ Multi-species viscous models for tissue growth: incompressible limit and qualitative behaviour ⋮ Two-phase compressible/incompressible Navier-Stokes system with inflow-outflow boundary conditions ⋮ Incompressible limit of a fluid-particle interaction model. ⋮ Compression effects in heterogeneous media ⋮ On the incompressible limit for a tumour growth model incorporating convective effects ⋮ Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension ⋮ Finite-energy solutions for compressible two-fluid Stokes system ⋮ Weak solutions for the Stokes system for compressible fluids with general pressure
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Free boundary problems for tumor growth: a viscosity solutions approach
- Differential equations with singular fields
- Ordinary differential equations, transport theory and Sobolev spaces
- On a free boundary barotropic model
- A hierarchy of cancer models and their mathematical challenges
- A new mathematical model for avascular tumour growth
- Transport of congestion in two-phase compressible/incompressible flows
- Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor
- On a free boundary problem for polymeric fluids: global existence of weak solutions
- Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development
- Compactness for nonlinear continuity equations
- Derivation of a Hele-Shaw type system from a cell model with active motion
- Individual-based and continuum models of growing cell populations: a comparison
- A Hele-Shaw problem for tumor growth
- The Hele-Shaw asymptotics for mechanical models of tumor growth
- Incompressible limit of a mechanical model of tumour growth with viscosity
- Mathematical Models of Avascular Tumor Growth
- Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations
- Maximal functions: Spherical means
- Spatial modelling of tumour drug resistance: the case of GIST liver metastases
- Global Weak Solutions of PDEs for Compressible Media: A Compactness Criterion to Cover New Physical Situations
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
This page was built for publication: Incompressible limit of the Navier-Stokes model with a growth term
