Large densities in a competitive two-species chemotaxis system in the non-symmetric case

Asymptotic behavior of solutions to PDEs (35B40) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Chemotaxis can prevent thresholds on population density
Blowup and global solutions in a chemotaxis-growth system
How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
Exponential attractor for a chemotaxis-growth system of equations
Initiation of slime mold aggregation viewed as an instability
From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
Elliptic partial differential equations of second order
Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
A new approach toward stabilization in a two-species chemotaxis model with logistic source
Parabolic system of chemotaxis: Blowup in a finite and the infinite time.
On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain.
Emergence of lager densities in chemotaxis system with indirect signal production and non-radial symmetry case
Can chemotactic effects lead to blow-up or not in two-species chemotaxis-competition models?
The carrying capacity to chemotaxis system with two species and competitive kinetics in \(N\) dimensions
Competitive exclusion in a two-species chemotaxis model
Improvement of conditions for boundedness in a two-species chemotaxis competition system of parabolic-parabolic-elliptic type
Facing low regularity in chemotaxis systems
Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity
Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
Approaching optimality in blow-up results for Keller-Segel systems with logistic-type dampening
Blow-up in a chemotaxis model without symmetry assumptions
Stabilization in a two-species chemotaxis system with a logistic source
Boundedness and stabilization in a two-species chemotaxis-competition system of parabolic-parabolic-elliptic type
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
On the weakly competitive case in a two-species chemotaxis model
Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
A Chemotaxis System with Logistic Source
Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
Limiting case of the Sobolev inequality in BMO, with application to the Euler equations
Emergence of large densities in a chemotaxis system with signaling loops, nonlinear signal productions and competitions sources under nonradial symmetry case

This page was built for publication: Large densities in a competitive two-species chemotaxis system in the non-symmetric case