Hele–Shaw Limit for a System of Two Reaction-(Cross-)Diffusion Equations for Living Tissues
Published 2019 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
Hele–Shaw Limit for a System of Two Reaction-(Cross-)Diffusion Equations for Living Tissues
Authors
Keywords
-
Journal
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 236, Issue 2, Pages 735-766
Publisher
Springer Science and Business Media LLC
Online
2019-12-05
DOI
10.1007/s00205-019-01479-1
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- Uniform convergence for the incompressible limit of a tumor growth model
- (2018) Inwon Kim et al. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
- A Hele–Shaw problem for tumor growth
- (2017) Antoine Mellet et al. JOURNAL OF FUNCTIONAL ANALYSIS
- From short-range repulsion to Hele-Shaw problem in a model of tumor growth
- (2017) Sebastien Motsch et al. JOURNAL OF MATHEMATICAL BIOLOGY
- Porous medium equation to Hele-Shaw flow with general initial density
- (2017) Inwon Kim et al. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
- On interfaces between cell populations with different mobilities
- (2016) Tommaso Lorenzi et al. Kinetic and Related Models
- Free boundary problems for tumor growth: A viscosity solutions approach
- (2016) Inwon C. Kim et al. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
- Advection-diffusion equations with density constraints
- (2016) Alpár Richárd Mészáros et al. Analysis & PDE
- The Hele–Shaw Asymptotics for Mechanical Models of Tumor Growth
- (2014) Benoît Perthame et al. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
- Derivation of a Hele–Shaw type system from a cell model with active motion
- (2014) Benoît Perthame et al. INTERFACES AND FREE BOUNDARIES
- Congestion-driven dendritic growth
- (2013) Bertrand Maury et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- A congestion model for cell migration
- (2011) Julien Dambrine et al. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
- Handling congestion in crowd motion modeling
- (2011) Juliette Venel et al. Networks and Heterogeneous Media
- A free boundary problem arising in a simplified tumour growth model of contact inhibition
- (2010) Michiel Bertsch et al. INTERFACES AND FREE BOUNDARIES
- A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE
- (2010) BERTRAND MAURY et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Computational Modeling of Solid Tumor Growth: The Avascular Stage
- (2010) Didier Bresch et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
- (2009) J S Lowengrub et al. NONLINEARITY
- Existence and Uniqueness of Solutions to Fokker–Planck Type Equations with Irregular Coefficients
- (2008) C. Le Bris et al. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
- Local Aronson–Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds
- (2008) Peng Lu et al. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
Discover Peeref hubs
Discuss science. Find collaborators. Network.
Join a conversationAsk a Question. Answer a Question.
Quickly pose questions to the entire community. Debate answers and get clarity on the most important issues facing researchers.
Get Started