The large-time behavior of the multi-dimensional hyperbolic-parabolic model arising from chemotaxis

DOI10.1063/1.5120331zbMath1422.92027OpenAlexW2975053636WikidataQ127217758 ScholiaQ127217758MaRDI QIDQ5235505

Xin-Liang Li, Chengli Wang, Fu Yi Xu

Publication date: 11 October 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5120331

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Initial value problems for linear higher-order PDEs (35G10) Cell movement (chemotaxis, etc.) (92C17) Dynamic critical phenomena in statistical mechanics (82C27) Strong solutions to PDEs (35D35) First-order hyperbolic equations (35L02)

Related Items

On the global existence and time-decay rates for a parabolic–hyperbolic model arising from chemotaxis ⋮ Optimal time-decay estimates in the critical framework for a chemotaxis model ⋮ Ill-posedness issue for a multidimensional hyperbolic-parabolic model of chemotaxis in critical Besov spaces \(\dot{B}_{2 d , 1}^{- \frac{ 3}{ 2}} \times ( \dot{B}_{2 d , 1}^{- \frac{ 1}{ 2}} )^d\)

Cites Work

• Unnamed Item
• The optimal convergence rates for the multi-dimensional chemotaxis model in critical Besov spaces
• Some estimates of solutions for the equations of motion of compressible viscous fluid in the three-dimensional exterior domain
• Optimal decay rate for strong solutions in critical spaces to the compressible Navier-Stokes equations
• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• Traveling bands of chemotactic bacteria: a theoretical analysis
• Global solutions to a hyperbolic-parabolic coupled system with large initial data
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• Decay estimates for the compressible Navier-Stokes equations in unbounded domains
• Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• Global existence and convergence rates for the strong solutions in \(H^2\) to the 3D chemotaxis model
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces
• Global existence and the optimal decay rates for the three dimensional compressible nematic liquid crystal flow
• On Existence of Global Solutions and Blow-Up to a System of Reaction-Diffusion Equations Modelling Chemotaxis
• Fourier Analysis and Nonlinear Partial Differential Equations
• ON A HYPERBOLIC–PARABOLIC SYSTEM MODELING CHEMOTAXIS
• On the well-posedness for Keller-Segel system with fractional diffusion
• Global existence of solutions to a hyperbolic-parabolic system
• Shock formation in a chemotaxis model
• Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity
• A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
• Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
• Density-dependent incompressible viscous fluids in critical spaces
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
• OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES
• Global existence and temporal decay for the 3D compressible Hall-magnetohydrodynamic system
• The optimal convergence rates for the multi-dimensional compressible viscoelastic flows

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