Lie group action and stability analysis of stationary solutions for a free boundary problem modelling tumor growth
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Publication:1007259
DOI10.1016/j.jde.2008.10.014zbMath1168.35048arXiv0712.2483OpenAlexW2050589617MaRDI QIDQ1007259
Publication date: 20 March 2009
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.2483
Semigroups of nonlinear operators (47H20) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Biomechanics (92C10) Free boundary problems for PDEs (35R35)
Related Items (18)
Stationary solutions of a free boundary problem modeling the growth of tumors with Gibbs-Thomson relation ⋮ On the Banach manifold of simple domains in the Euclidean space and applications to free boundary problems ⋮ Analysis of a radial free boundary tumor model with time-dependent absorption efficiency ⋮ Analysis of a free boundary problem modeling the growth of spherically symmetric tumors with angiogenesis ⋮ Regularity of solutions to a free boundary problem modeling tumor growth by Stokes equation ⋮ Mathematical analysis on a diffusion model describing the compatibility between two types of tumor cells ⋮ Asymptotic stability for a free boundary tumor model with angiogenesis ⋮ Analysis of a nonlinear necrotic tumor model with two free boundaries ⋮ Analysis of a free boundary problem modeling the growth of multicell spheroids with angiogenesis ⋮ Asymptotic behavior of solutions of a free boundary problem modeling tumor spheroid with Gibbs-Thomson relation ⋮ Asymptotic behavior of solutions of a free-boundary tumor model with angiogenesis ⋮ Global existence for a mathematical model of the immune response to cancer ⋮ Analyticity of solutions to a free boundary problem modeling the growth of multi-layer tumors ⋮ On convergence of solutions to equilibria for quasilinear parabolic problems ⋮ Analysis of a tumor-model free boundary problem with a nonlinear boundary condition ⋮ Asymptotic behavior of solutions of a free boundary problem modeling the growth of tumors with fluid-like tissue under the action of inhibitors ⋮ Well-posedness and stability for an elliptic-parabolic free boundary problem modeling the growth of multi-layer tumors ⋮ Asymptotic stability for a free boundary tumor model with a periodic supply of external nutrients
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