Lp time asymptotic decay for general hyperbolic–parabolic balance laws with applications

DOI10.1142/S021989161950022XzbMath1437.35095OpenAlexW3010432140MaRDI QIDQ5108365

Yanni Zeng

Publication date: 4 May 2020

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021989161950022x

zbMATH Keywords

Cauchy problemlogistic growthKeller-Segel modelthermal non-equilibriumtime-decay rate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for second-order parabolic equations (35K15) Initial value problems for first-order hyperbolic systems (35L45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59)

Related Items

Unnamed Item, Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate, Nonlinear stability of diffusive contact wave for a chemotaxis model

Cites Work

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• Traveling bands of chemotactic bacteria: a theoretical analysis
• Decay estimates for hyperbolic balance laws
• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• Compressible Navier-Stokes equations with zero heat conductivity
• On the logarithmic Keller-Segel-Fisher/KPP system
• Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate
• Asymptotic behavior of solutions to general hyperbolic-parabolic systems of balance laws in multi-space dimensions
• \(L^p\) decay for general hyperbolic-parabolic systems of balance laws
• Quantitative decay of a one-dimensional hybrid chemotaxis model with large data
• Large-time behaviour of solutions to hyperbolic–parabolic systems of conservation laws and applications
• A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
• Global existence theory for general hyperbolic-parabolic balance laws with application