A mass-conserved tumor invasion system with quasi-variational degenerate diffusion

DOI10.1142/S0219530521500159zbMath1494.35096OpenAlexW3188230338MaRDI QIDQ5083438

Akio Ito

Publication date: 20 June 2022

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530521500159

zbMATH Keywords

chemotaxistumor invasionquasi-variational structuresstrong time global solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Medical applications (general) (92C50) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Haptotaxis-chemotaxis tumor invasion with weighted mass-conservative quantity ⋮ Abstract quasi-variational evolution inclusions on real Hilbert spaces with conservative quantities. In honor of the sixtieth birthday of Prof. Toyohiko Aiki ⋮ Dynamics for a chemotaxis model with general logistic damping and signal dependent motility

Cites Work

• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• Quasi-variational structure approach to systems with degenerate diffusions
• Existence of solutions to chemotaxis dynamics with Lipschitz diffusion and superlinear growth
• Stabilization in a chemotaxis model for tumor invasion
• Convergence of convex sets and of solutions of variational inequalities
• Large Time Behavior in a Chemotaxis Model with Nonlinear General Diffusion for Tumor Invasion
• Convex Analysis
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