Well-posedness and stability of a free boundary problem modeling the growth of multi-layer tumors

DOI10.1016/j.jde.2008.02.038zbMath1143.35389OpenAlexW1999357314MaRDI QIDQ925050

Joachim Escher, Fujun Zhou, Shang-bin Cui

Publication date: 29 May 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.02.038

zbMATH Keywords

stabilityfree boundary problemwell-posednessinhibitorsflat solutionsgrowth of tumorsmulti-layer tumors

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Developmental biology, pattern formation (92C15) Perturbations in context of PDEs (35B20) Free boundary problems for PDEs (35R35)

Related Items (13)

Bifurcation for a free boundary problem modeling the growth of tumors with a drug induced nonlinear proliferation rate ⋮ Linear Stability Analysis for a Free Boundary Problem Modeling Multilayer Tumor Growth with Time Delay ⋮ Stability and bifurcation analysis of a free boundary problem modelling multi-layer tumours with Gibbs–Thomson relation ⋮ Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core ⋮ Global existence and blowup analysis to single-species bacillus system with free boundary ⋮ Asymptotic behavior of solutions of a free boundary problem modeling multi-layer tumor growth in presence of inhibitor ⋮ Bifurcation from stability to instability for a free boundary tumor model with angiogenesis ⋮ Bifurcation for a free-boundary tumor model with angiogenesis ⋮ A fictitious domain method with distributed Lagrange multiplier for parabolic problems with moving interfaces ⋮ Analyticity of solutions to a free boundary problem modeling the growth of multi-layer tumors ⋮ Linear stability for a periodic tumor angiogenesis model with free boundary ⋮ Unnamed Item ⋮ Well-posedness and stability for an elliptic-parabolic free boundary problem modeling the growth of multi-layer tumors

Cites Work

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