Convergence rate for the incompressible limit of nonlinear diffusion-advection equations
From MaRDI portal
Publication:6172269
DOI10.4171/aihpc/53zbMath1519.35038arXiv2108.00787MaRDI QIDQ6172269
Tomasz Dębiec, Noemi David, Perthame, Benoît
Publication date: 19 July 2023
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.00787
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)
Related Items
Tumor boundary instability induced by nutrient consumption and supply, Incompressible limits of the Patlak-Keller-Segel model and its stationary state
Cites Work
- Unnamed Item
- Interpolation inequalities in pattern formation
- Harmonic analysis of the space BV.
- 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.
- Composite waves for a cell population system modeling tumor growth and invasion
- Incompressible limit for a two-species tumour model with coupling through Brinkman's law in one dimension
- A Hele-Shaw limit without monotonicity
- Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension
- Free boundary limit of a tumor growth model with nutrient
- Hele-Shaw limit for a system of two reaction-(Cross-)diffusion equations for living tissues
- A Hele-Shaw problem for tumor growth
- Singular limit of the porous medium equation with a drift
- Self-organized hydrodynamics with congestion and path formation in crowds
- The Hele-Shaw asymptotics for mechanical models of tumor growth
- A model for the formation and evolution of traffic jams
- 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
- Splitting Schemes and Segregation in Reaction Cross-Diffusion Systems
- Porous medium equation to Hele-Shaw flow with general initial density
- A two-species hyperbolic–parabolic model of tissue growth
- Quasi-static evolution and congested crowd transport
- Convergence of the porous media equation to Hele-Shaw
