The fully parabolic multi-species chemotaxis system in $\mathbb{R}^2$ (Q6623006)

scientific article; zbMATH DE number 7930528

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English	The fully parabolic multi-species chemotaxis system in $\mathbb{R}^2$	scientific article; zbMATH DE number 7930528

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scholarly article

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title

The fully parabolic multi-species chemotaxis system in $\mathbb{R}^2$ (English)

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author

Ke Lin

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published in

European Journal of Applied Mathematics

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publication date

23 October 2024

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zbMATH Keywords

chemotaxis

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global solution

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Moser-Trudinger inequality for system

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Publication

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cites work

L<sup>P</sup>Bounds of solutions of reaction-diffusion equations

0 references

Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality

0 references

Existence and nonexistence of solutions for a model of gravitational interaction of particles, I

0 references

Q3431715

0 references

The parabolic-parabolic Keller-Segel model in $\mathbb R^2$

0 references

Conformal deformations of metric on ${\mathcal S}$ 2

0 references

Remarks on the blowup and global existence for a two species chemotactic Keller–Segel system in<sup>2</sup>

0 references

Symmetrization techniques on unbounded domains: Application to a chemotaxis system on $\mathbb{R}^N$

0 references

Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species.

0 references

Simultaneous finite time blow-up in a two-species model for chemotaxis

0 references

A note on non-simultaneous blow-up for a drift-diffusion model.

0 references

Sharp condition for blow-up and global existence in a two species chemotactic Keller-Segel system in $\mathbb R^2$

0 references

A simultaneous blow-up problem arising in tumor modeling

0 references

Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions

0 references

Multi-species Patlak-Keller-Segel system

0 references

Q4398321

0 references

Global solvability and explicit bounds for non-local adhesion models

0 references

Critical curve for a two-species chemotaxis model with two chemicals in R2 *

0 references

Critical mass for a two-species chemotaxis model with two chemicals in $\mathbb{R}^2$

0 references

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

0 references

Q3568186

0 references

On Patlak-Keller-Segel system for several populations: a gradient flow approach

0 references

On the critical mass Patlak-Keller-Segel system for multi-species populations: global existence and infinte time aggregation

0 references

Initiation of slime mold aggregation viewed as an instability

0 references

Mathematical model of macrophage-facilitated breast cancer cells invasion

0 references

Q5562267

0 references

On the global existence of solutions to chemotaxis system for two populations in dimension two

0 references

On global solutions and blow-up for a short-ranged chemical signaling loop

0 references

On boundedness, blow-up and convergence in a two-species and two-stimuli chemotaxis system with/without loop

0 references

Global existence for the Cauchy problem of the parabolic-parabolic Keller-Segel system on the plane

0 references

Q5603485

0 references

Global existence and decay estimates of solutions to a parabolic-elliptic system of drift-diffusion type in $\mathbb R^2$.

0 references

BREZIS–MERLE INEQUALITIES AND APPLICATION TO THE GLOBAL EXISTENCE OF THE CAUCHY PROBLEM OF THE KELLER–SEGEL SYSTEM

0 references

Global existence of solutions to a parabolic attraction-repulsion chemotaxis system in $\mathbb{R}^2$: the attractive dominant case

0 references

Q4381941

0 references

Q4963466

0 references

Moser-Trudinger and logarithmic HLS inequalities for systems

0 references

Q5547919

0 references

Single-point blow-up in the Cauchy problem for the higher-dimensional Keller–Segel system

0 references

Multi-components chemotactic system in the absence of conflicts

0 references

Global existence and boundedness of solutions to a parabolic attraction-repulsion chemotaxis system in $\mathbb{R}^2$: the repulsive dominant case

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Identifiers

Mathematics Subject Classification ID

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10.1017/S0956792523000372

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Sitelinks

Mathematics(1 entry)

mardi Publication:6623006

The fully parabolic multi-species chemotaxis system in \(\mathbb{R}^2\) (Q6623006)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)