Global solvability, pattern formation and stability to a chemotaxis-haptotaxis model with porous medium diffusion
From MaRDI portal
Publication:6079310
DOI10.1007/s10114-023-1184-0zbMath1528.35009OpenAlexW4376275438MaRDI QIDQ6079310
No author found.
Publication date: 29 September 2023
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-023-1184-0
Stability in context of PDEs (35B35) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
Cites Work
- Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Nondegeneracy of blow-up points for the parabolic Keller-Segel system
- Boundedness of solutions to a quasilinear higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
- Nonconstant positive steady states and pattern formation of 1D prey-taxis systems
- Bifurcation theory. An introduction with applications to partial differential equations
- Initiation of slime mold aggregation viewed as an instability
- Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
- Boundedness in the higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Bifurcation theory. An introduction with applications of PDEs
- Boundedness and global solvability to a chemotaxis-haptotaxis model with slow and fast diffusion
- Boundedness and global solvability to a chemotaxis model with nonlinear diffusion
- Parabolic system of chemotaxis: Blowup in a finite and the infinite time.
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Qualitative theory of planar differential systems
- Bifurcation from simple eigenvalues
- Blow-up in a chemotaxis model without symmetry assumptions
- Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion
- A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- Stationary Solutions of Chemotaxis Systems
- Global classical solution and boundedness to a chemotaxis-haptotaxis model with re-establishment mechanisms
- The chemical basis of morphogenesis
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- A Chemotaxis System with Logistic Source
