Asymptotic behavior of solutions of a free-boundary tumor model with angiogenesis

DOI10.1016/j.nonrwa.2018.05.003zbMath1406.35446OpenAlexW2805687648WikidataQ129751227 ScholiaQ129751227MaRDI QIDQ1994849

Yuehong Zhuang

Publication date: 2 November 2018

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.05.003

zbMATH Keywords

angiogenesisfree boundary problemasymptotic stabilitywell-posednesstumor spheroid

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Free boundary problems for PDEs (35R35)

Related Items (6)

Linear stability analysis for the free boundary problem modeling tumor growth with angiogenesis in the presence of inhibitors ⋮ A qualitative analysis of a free boundary problem modeling tumor growth with angiogenesis ⋮ Analysis of a tumor model free boundary problem with action of an inhibitor and nonlinear boundary conditions ⋮ The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients ⋮ A parabolic-hyperbolic system modeling the tumor growth with angiogenesis ⋮ Analysis of a tumor-model free boundary problem with a nonlinear boundary condition

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