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Asymptotic stability for a free boundary tumor model with angiogenesis (Q2208463)

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English	Asymptotic stability for a free boundary tumor model with angiogenesis	scientific article

Statements

scholarly article

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Asymptotic stability for a free boundary tumor model with angiogenesis (English)

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Journal of Differential Equations

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publication date

3 November 2020

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full work available at URL

https://arxiv.org/abs/2007.07030

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zbMATH Keywords

free boundary problems

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tumor growth

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angiogenesis

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stationary solution

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nonlinear stability

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MaRDI profile type

MaRDI publication profile

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Global existence and asymptotic stability for an elliptic-parabolic free boundary problem: An application to a model of tumor growth

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Growth of nonnecrotic tumors in the presence and absence of inhibitors

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Free boundary value problems associated with the growth and development of multicellular spheroids

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A Free Boundary Problem for an Elliptic-Hyperbolic System: An Application to Tumor Growth

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Nonlinear simulation of tumor growth

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Analysis of a mathematical model for the growth of tumors under the action of external inhibitors

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Lie group action and stability analysis of stationary solutions for a free boundary problem modelling tumor growth

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Asymptotic Stability of the Stationary Solution for a Parabolic-Hyperbolic Free Boundary Problem Modeling Tumor Growth

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Asymptotic Behaviour of Solutions of a Multidimensional Moving Boundary Problem Modeling Tumor Growth

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Well-posedness and stability of a multi-dimensional tumor growth model

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Analysis of a mathematical model of the effect of inhibitors on the growth of tumors

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Radially symmetric growth of nonnecrotic tumors

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Well-posedness and stability analysis for a moving boundary problem modelling the growth of nonnecrotic tumors

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Bifurcation from stability to instability for a free boundary problem arising in a tumor model

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Asymptotic stability for a free boundary problem arising in a tumor model

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Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation

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Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model

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Analysis of a free-boundary tumor model with angiogenesis

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Models for the Growth of a Solid Tumor by Diffusion

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Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation

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A three-dimensional steady-state tumor system

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Bifurcation for a free-boundary tumor model with angiogenesis

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Bifurcation from stability to instability for a free boundary tumor model with angiogenesis

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Linear stability for a free boundary tumor model with a periodic supply of external nutrients

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Nonlinear modelling of cancer: bridging the gap between cells and tumours

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Analysis of a mathematical model for tumor growth with Gibbs-Thomson relation

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Asymptotic behaviour of solutions of a free boundary problem modelling the growth of tumours in the presence of inhibitors

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Asymptotic behavior of solutions of a free boundary problem modelling the growth of tumors with Stokes equations

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Asymptotic Stability of Stationary Solutions of a Free Boundary Problem Modeling the Growth of Tumors with Fluid Tissues

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Asymptotic behavior of solutions for parabolic differential equations with invariance and applications to a free boundary problem modeling tumor growth

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Asymptotic behavior of solutions of a free boundary problem modeling tumor spheroid with Gibbs-Thomson relation

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The impact of time delay in a tumor model

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Symmetry-breaking bifurcation for a free-boundary tumor model with time delay

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Bifurcation for a free-boundary tumor model with extracellular matrix and matrix degrading enzymes

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Stability and bifurcation analysis of a free boundary problem modelling multi-layer tumours with Gibbs–Thomson relation

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Analysis of a free boundary problem modeling the growth of multicell spheroids with angiogenesis

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JDE.2020.08.050

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Sitelinks

Mathematics(1 entry)

mardi Publication:2208463

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