Stability of rarefaction wave for viscous vasculogenesis model

DOI10.3934/dcdsb.2022034zbMath1498.35048OpenAlexW4214871756MaRDI QIDQ2081975

Qingqing Liu, Xiao-Li Wu

Publication date: 30 September 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022034

zbMATH Keywords

asymptotic stabilityrarefaction wavehyperbolic-parabolic-elliptic vasculogenesis model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45)

Uses Software

• Chemotaxis

Cites Work

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• Stability of the superposition of boundary layer and rarefaction wave for outflow problem on the two-fluid Navier-Stokes-Poisson system
• Derivation of hyperbolic models for chemosensitive movement
• \(L^{p}\)-decay rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping
• Contact discontinuity with general perturbations for gas motions
• Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier-Stokes system
• Convergence rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping on quadrant
• Nonlinear diffusion waves for hyperbolic \(p\)-system with nonlinear damping
• Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half-space
• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
• Boundary effect on asymptotic behaviour of solutions to the \(p\)-system with linear damping
• Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping
• Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors.
• Boltzmann equation: micro-macro decompositions and positivity of shock profiles
• Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
• Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
• Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations
• Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis
• Stability of rarefaction waves of the Navier-Stokes-Poisson system
• Convergence to strong nonlinear diffusion waves for solutions to \(p\)-system with damping on quadrant
• Nonlinear stability of rarefaction waves for the Boltzmann equation
• Darcy's law as long-time limit of adiabatic porous media flow
• Stability of the rarefaction wave for a two-fluid plasma model with diffusion
• Singular convergence of nonlinear hyperbolic chemotaxis systems to Keller-Segel type models
• Existence and Asymptotic Behavior of Solutions to a Quasi-linear Hyperbolic-Parabolic Model of Vasculogenesis
• Vacuum Behaviors around Rarefaction Waves to 1D Compressible Navier--Stokes Equations with Density-Dependent Viscosity
• Stability of superposition of viscous contact wave and rarefaction waves for compressible Navier-Stokes system
• Best Asymptotic Profile for Hyperbolicp-System with Damping
• Nonlinear wave propagations over a Boltzmann shock profile
• Darcy's law and diffusion for a two-fluid Euler–Maxwell system with dissipation
• DECAY PROPERTY OF REGULARITY-LOSS TYPE AND NONLINEAR EFFECTS FOR DISSIPATIVE TIMOSHENKO SYSTEM
• Global $BV$ Solutions for theP-System with Frictional Damping
• On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
• Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• Stability of the rarefaction wave for a coupled compressible Navier‐Stokes/Allen‐Cahn system
• STABILITY OF RAREFACTION WAVES FOR A MODEL SYSTEM OF A RADIATING GAS
• Asymptotic Stability of Diffusion Waves of a Quasi-Linear Hyperbolic-Parabolic Model for Vasculogenesis
• A Review of Vasculogenesis Models
• Hyperbolic Conservation Laws in Continuum Physics

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