A Non-linear Parabolic System Modeling Chemotaxis with Sensitivity Functions
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Summary
A model for chemotaxis on a general Lipschitz domain where the chemotatic response is speci ed by sensitivity functions is studied and existence of global solutions for classes of sensitivity functions are demonstrated.
- Type
- book
- Published
- 1999-08-02
- Cited by
- 11
- References
- 19
- Access
- Open access
- OpenAlex
- https://openalex.org/W1579114903
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:16557067
Keywords
Sensitivity (control systems), Chemotaxis, Nonlinear system, Mathematical analysis, Mathematics
References
- SELF-SIMILAR RADIAL SOLUTIONS TO A SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS MODELLING CHEMOTAXIS
- Conformal deformation of metrics on S^2
- W 1,p -estimates of solutions to evolution equations corresponding to nonsmooth second order elliptic differential operators
- Global Behaviour of a Reaction‐Diffusion System Modelling Chemotaxis
- Chemotactic collapse for the Keller-Segel model
- Reaction—Diffusion Processes of Electrically Charged Species
- Singularity patterns in a chemotaxis model
- Stationary solutions of chemotaxis systems
- Initiation of slime mold aggregation viewed as an instability.
- Nonlinear aspects of chemotaxis
- Chemotaxis, signal relaying and aggregation morphology.
- Nonhomogeneous Linear and Quasilinear Elliptic and Parabolic Boundary Value Problems
Cited by
- Exponential convergence to equilibrium in a coupled gradient flow system modeling chemotaxis
- Do some chemotaxis-growth models possess Lyapunov functionals?
- Smooth parametric dependence of asymptotics of the semiclassical focusing NLS
- A user’s guide to PDE models for chemotaxis
- Uniqueness and symmetry of equilibria in a chemotaxis model
- Generalizing the Keller–Segel Model: Lyapunov Functionals, Steady State Analysis, and Blow-Up Results for Multi-species Chemotaxis Models in the Presence of Attraction and Repulsion Between Competitive Interacting Species
- Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model
- Systems of Evolution Equations with Gradient Flow Structure
- Analysis of some systems of partial dierential equations describing cellular movement
- Analysis and Numerical Simulations of a Chemotaxis Model
- F ¨ Ur Mathematik in Den Naturwissenschaften Leipzig from 1970 until Present: the Keller-segel Model in Chemotaxis and Its Consequences from 1970 until Present: the Keller-segel Model in Chemotaxis and Its Consequences
- Keller-Segel model in chemotaxis and its consequences
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