Global existence of solutions to the 4D attraction–repulsion chemotaxis system and applications of Brezis–Merle inequality

DOI10.1088/1361-6544/acf6eezbMath1525.35011OpenAlexW4387054269MaRDI QIDQ6050832

Takayoshi Ogawa, Tatsuya Hosono

Publication date: 12 October 2023

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/acf6ee

zbMATH Keywords

chemotaxisglobal existencerearrangementattraction-repulsionelliptic-elliptic-parabolic systemBrezis-Merle inequality

Mathematics Subject Classification ID

Cell movement (chemotaxis, etc.) (92C17) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Quasilinear parabolic equations (35K59)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chemotactic signaling, microglia, and Alzheimer's disease senile plaques: Is there a connection?
• Finite time blow up for a solution to system of the drift-diffusion equations in higher dimensions
• Boundedness of the attraction-repulsion Keller-Segel system
• Well-posedness for a model derived from an attraction-repulsion chemotaxis system
• Large time behavior of the full attraction-repulsion Keller-Segel system in the whole space
• Application of an Adams type inequality to a two-chemical substances chemotaxis system
• Global existence and decay estimates of solutions to a parabolic-elliptic system of drift-diffusion type in \(\mathbb R^2\).
• Initiation of slime mold aggregation viewed as an instability
• Global solutions of some chemotaxis and angiogenesis system in high space dimension
• Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system
• Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations
• Finite time blow-up of the solution for a nonlinear parabolic equation of drift-diffusion type.
• Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension
• Global well-posedness and blow-up for the 2-D Patlak-Keller-Segel equation
• Global existence of solutions to the Cauchy problem for an attraction-repulsion chemotaxis system in \(\mathbb{R}^2\) in the attractive dominant case
• Global existence and boundedness of solutions to a parabolic attraction-repulsion chemotaxis system in \(\mathbb{R}^2\): the repulsive dominant case
• Local well-posedness and finite time blow-up of solutions to an attraction-repulsion chemotaxis system in higher dimensions
• Boundedness of solutions to an attraction-repulsion chemotaxis model in \(\mathbb{R}^2\)
• Global existence of solutions to the Cauchy problem of a two dimensional attraction-repulsion chemotaxis system
• Boundedness of solutions to a parabolic attraction-repulsion chemotaxis system in \(\mathbb{R}^2\): the attractive dominant case
• Global existence of solutions to a two dimensional attraction-repulsion chemotaxis system in the attractive dominant case with critical mass
• Global stabilization of the full attraction-repulsion Keller-Segel system
• On the Navier-Stokes initial value problem. I
• Global existence of solutions to a parabolic attraction-repulsion chemotaxis system in \(\mathbb{R}^2\): the attractive dominant case
• Global Existence of Solutions to a Parabolic-Elliptic System of Drift-Diffusion Type in <b><i>R</i></b>²
• Blow-up, Concentration Phenomenon and Global Existence for the Keller–Segel Model in High Dimension
• Random walk with persistence and external bias
• BREZIS–MERLE INEQUALITIES AND APPLICATION TO THE GLOBAL EXISTENCE OF THE CAUCHY PROBLEM OF THE KELLER–SEGEL SYSTEM
• Non-uniform bound and finite time blow up for solutions to a drift–diffusion equation in higher dimensions
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Existence and nonexistence of solutions for a model of gravitational interaction of particles, III
• Sharp Adams-type inequalities in ℝⁿ
• Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
• Finite-time blow-up for the attractive dominant case of an attraction-repulsion chemotaxis system in the whole space.

This page was built for publication: Global existence of solutions to the 4D attraction–repulsion chemotaxis system and applications of Brezis–Merle inequality