Tumor growth with nutrients: Regularity and stability
DOI10.1090/cams/20zbMath1527.35441arXiv2204.07572OpenAlexW4376128804MaRDI QIDQ6052394
Jiajun Tong, Inwon Christina Kim, Matthew Jacobs
Publication date: 17 October 2023
Published in: Communications of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.07572
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Comparison principles in context of PDEs (35B51)
Cites Work
- Congestion-driven dendritic growth
- Pattern formation in consumer-finite resource reaction-diffusion systems
- The obstacle problem revisited
- A Hele-Shaw limit without monotonicity
- On volume-preserving crystalline mean curvature flow
- A fast approach to optimal transport: the back-and-forth method
- Free boundary limit of a tumor growth model with nutrient
- Regularity of the free boundary for the one phase Hele--Shaw problem
- A Hele-Shaw problem for tumor growth
- Dynamic stability of equilibrium capillary drops
- The Hele-Shaw asymptotics for mechanical models of tumor growth
- Su un problema di frontiera libera connesso a questioni di idraulica
- Darcy's law with a source term
- Interface Dynamics for Bacterial Colony Formation
- Traveling wave solution of the Hele–Shaw model of tumor growth with nutrient
- On the Weak Solution of Moving Boundary Problems
- Regularity of one-phase Stefan problem near Lipschitz initial data
- A variational inequality approach to Hele-Shaw flow with a moving boundary
- Asymptotic convergence of the Stefan problem to Hele-Shaw
- Sharp results for the regularity and stability of the free boundary in the obstacle problem
- The back-and-forth method for Wasserstein gradient flows
- On mean curvature flow with forcing
- Quasi-static evolution and congested crowd transport
- Models for the Growth of a Solid Tumor by Diffusion
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
- \(BV\) estimates in optimal transportation and applications
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