Boundedness of solutions in a fully parabolic quasilinear chemotaxis model with two species and two chemicals
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Publication:2119700
DOI10.11650/tjm/211002zbMath1490.35003OpenAlexW3209676315MaRDI QIDQ2119700
Publication date: 30 March 2022
Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11650/tjm/211002
boundednessquasilinearnonlinear signal productionfully parabolic systemstrong logistic damping effect
Nonlinear parabolic equations (35K55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
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- On the stability of homogeneous steady states of a chemotaxis system with logistic growth term
- On a parabolic-elliptic system with chemotaxis and logistic type growth
- Boundedness in a parabolic-elliptic chemotaxis-growth system under a critical parameter condition
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Global existence vs. blowup in a fully parabolic quasilinear 1D Keller-Segel system
- Nondegeneracy of blow-up points for the parabolic Keller-Segel system
- On effects of sampling radius for the nonlocal Patlak-Keller-Segel chemotaxis model
- Boundedness of solutions in a chemotaxis system with nonlinear sensitivity and logistic source
- Boundedness of solutions to a quasilinear parabolic-parabolic Keller-Segel system with a logistic source
- Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals
- Asymptotic behavior in a chemotaxis-growth system with nonlinear production of signals
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Exponential attractor for a chemotaxis-growth system of equations
- Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Finite time blow-up for a one-dimensional quasilinear parabolic-parabolic chemotaxis system
- Volume effects in the Keller--Segel model: energy estimates preventing blow-up
- A user's guide to PDE models for chemotaxis
- Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Dynamics in a parabolic-elliptic chemotaxis system with growth source and nonlinear secretion
- Global stability in a two-competing-species chemotaxis system with two chemicals.
- Competitive exclusion for a two-species chemotaxis system with two chemicals
- Global dynamics in a two-species chemotaxis-competition system with two signals
- Blowup in higher dimensional two species chemotactic systems
- Large time behavior of solutions to a quasilinear attraction-repulsion chemotaxis system with logistic source
- A new result for boundedness and stabilization in a two-species chemotaxis system with two chemicals
- Modelling the movement of interacting cell populations
- Competitive exclusion in a two-species chemotaxis model
- Boundedness in quasilinear Keller-Segel equations with nonlinear sensitivity and logistic source
- Asymptotic stability in a fully parabolic quasilinear chemotaxis model with general logistic source and signal production
- The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in \(L^{1}\)
- Global boundedness of solutions to a two-species chemotaxis system
- Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- On the parabolic-elliptic Patlak-Keller-Segel system in dimension 2 and higher
- Boundedness in a two-species chemotaxis parabolic system with two chemicals
- Boundedness in a chemotaxis system with nonlinear signal production
- Boundedness in a two-species quasi-linear chemotaxis system with two chemicals
- Global existence and decay for a chemotaxis-growth system with generalized volume-filling effect and sublinear secretion
- Boundedness of solutions to a quasilinear parabolic-parabolic chemotaxis model with nonlinear signal production
- On the global existence of solutions to an aggregation model
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Distributions, Sobolev spaces, elliptic equations
- Boundedness vs. blow-up in a chemotaxis system
- Global existence and stability in a two-species chemotaxis system
- Stabilization in a two-species chemotaxis system with a logistic source
- Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
- The one-dimensional chemotaxis model: global existence and asymptotic profile
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- A critical blow-up exponent in a chemotaxis system with nonlinear signal production
- Global existence and asymptotic behavior of solutions to a two-species chemotaxis system with two chemicals
- Criteria on global boundedness versus finite time blow-up to a two-species chemotaxis system with two chemicals
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- On a Two Species Chemotaxis Model with Slow Chemical Diffusion
- Boundedness and stabilization in a two-species chemotaxis system with two chemicals
- Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source
