THE SET OF CONCENTRATION FOR SOME HYPERBOLIC MODELS OF CHEMOTAXIS

DOI10.1142/S021989160700115XzbMath1118.35001OpenAlexW2147729717MaRDI QIDQ3447037

Lobna Derbel, Pierre-Emmanuel Jabin

Publication date: 28 June 2007

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021989160700115x

zbMATH Keywords

angiogenesisblow-uplocal estimatesconcentration setnon-diffusive chemotaxis model

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) First-order nonlinear hyperbolic equations (35L60) Cell movement (chemotaxis, etc.) (92C17)

Related Items (3)

Sorting Phenomena in a Mathematical Model For Two Mutually Attracting/Repelling Species ⋮ A survey on well-balanced and asymptotic preserving schemes for hyperbolic models for chemotaxis ⋮ Numerical High-Field Limits in Two-Stream Kinetic Models and 1D Aggregation Equations

Cites Work

• Unnamed Item
• On the regularity of the blow-up set for semilinear heat equations
• Models of dispersal in biological systems
• Initiation of slime mold aggregation viewed as an instability
• PDE models for chemotactic movements: parabolic, hyperbolic and kinetic.
• Biased random walk models for chemotaxis and related diffusion approximations
• Erratum: Cattaneo models for chemosensitive movement. Numerical solution and pattern formation
• Kinetic models for chemotaxis and their drift-diffusion limits
• Nondegeneracy of blowup for semilinear heat equations
• Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
• Diffusion, attraction and collapse
• Determination of the blow-up rate for the semilinear wave equation
• Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
• Global existence for a parabolic chemotaxis model with prevention of overcrowding

This page was built for publication: THE SET OF CONCENTRATION FOR SOME HYPERBOLIC MODELS OF CHEMOTAXIS