Quasi-variational structure approach to systems with degenerate diffusions
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Publication:2154575
DOI10.4171/RSMUP/96zbMath1495.35222MaRDI QIDQ2154575
Publication date: 20 July 2022
Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)
time global solutionevolution inclusionhaptotaxis tumor invasionnonsmooth degenerate cross diffusionquasi-variational structures
Variational inequalities (49J40) PDEs with multivalued right-hand sides (35R70) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Evolution inclusions (34G25) Nonlinear evolution equations (47J35) Variational and other types of inclusions (47J22)
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A mass-conserved tumor invasion system with quasi-variational degenerate diffusion ⋮ 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 ⋮ Unnamed Item
Cites Work
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Large-time behavior of solutions to a tumor invasion model of Chaplain-Anderson type with quasi-variational structure
- Existence of solutions to chemotaxis dynamics with Lipschitz diffusion and superlinear growth
- The existence of time global solutions for tumor invasion models with constraints
- The existence of solutions for tumor invasion models with time and space dependent diffusion
- 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
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