Analysis of a nonlinear necrotic tumor model with two free boundaries
From MaRDI portal
Publication:2225506
DOI10.1007/s10884-019-09817-3zbMath1467.35363OpenAlexW2995996403WikidataQ126547623 ScholiaQ126547623MaRDI QIDQ2225506
Publication date: 8 February 2021
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-019-09817-3
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Free boundary problems for PDEs (35R35)
Related Items (3)
Linear stability analysis for the free boundary problem modeling tumor growth with angiogenesis in the presence of inhibitors ⋮ Mathematical analysis on a diffusion model describing the compatibility between two types of tumor cells ⋮ A parabolic-hyperbolic system modeling the tumor growth with angiogenesis
Cites Work
- Unnamed Item
- Unnamed Item
- Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core
- Analysis of a free-boundary tumor model with angiogenesis
- Asymptotic behavior of solutions of a free boundary problem modeling tumor spheroid with Gibbs-Thomson relation
- Lie group action and stability analysis of stationary solutions for a free boundary problem modelling tumor growth
- Analysis of a mathematical model for the growth of tumors
- Classical solutions for Hele-Shaw models with surface tension
- Bifurcation from stability to instability for a free boundary tumor model with angiogenesis
- Growth of necrotic tumors in the presence and absence of inhibitors
- Radially symmetric growth of necrotic tumors and connection with nonnecrotic tumors
- Global existence of solutions for a free boundary problem modeling the growth of necrotic tumors
- Bifurcation for a free boundary problem modeling the growth of tumors with a drug induced nonlinear proliferation rate
- Bifurcation for a free boundary problem modeling the growth of necrotic multilayered tumors
- Formation of necrotic cores in the growth of tumors: analytic results
- Bifurcation from stability to instability for a free boundary problem arising in a tumor model
- Asymptotic stability for a free boundary problem arising in a tumor model
- Stationary solutions of a free boundary problem modeling the growth of tumors with Gibbs-Thomson relation
- Asymptotic behavior of solutions of a free boundary problem modeling the growth of tumors with fluid-like tissue under the action of inhibitors
- Mathematical Models of Avascular Tumor Growth
- Stationary Solutions of a Model for the Growth of Tumors and a Connection between the Nonnecrotic and Necrotic Phases
- Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model
- The inverse function theorem of Nash and Moser
- Asymptotic stability of a free boundary problem for the growth of multi-layer tumours in the necrotic phase
- Symmetry-breaking bifurcations for free boundary problems
- Bifurcation Analysis of an Elliptic Free Boundary Problem Modelling the Growth of Avascular Tumors
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
- Analytic semigroups and optimal regularity in parabolic problems
This page was built for publication: Analysis of a nonlinear necrotic tumor model with two free boundaries
