Asymptotic Stability of Diffusion Waves of a Quasi-Linear Hyperbolic-Parabolic Model for Vasculogenesis
DOI10.1137/21M1418150zbMath1484.35057arXiv2103.11301OpenAlexW3139212491WikidataQ115525509 ScholiaQ115525509MaRDI QIDQ5037716
Hongyun Peng, Qingqing Liu, Zhi-An Wang
Publication date: 4 March 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.11301
Darcy's lawspectral analysisdiffusion wavesalgebraic decaying ratesdensity-dependent pressure functiontime-frequency Lyapunov functional
Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Cell biology (92C37) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for first-order hyperbolic equations (35L04) Initial value problems for systems of nonlinear higher-order PDEs (35G55)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic behavior of solutions to a model system of a radiating gas
- The one-dimensional Darcy's law as the limit of a compressible Euler flow
- \(L^{p}\)-decay rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping
- Stationary solutions with vacuum for a one-dimensional chemotaxis model with nonlinear pressure
- Convergence rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping on quadrant
- Nonlinear diffusion waves for hyperbolic \(p\)-system with nonlinear damping
- Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- 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.
- On the stability of homogeneous solutions to some aggregation models
- Convergence to the Barenblatt solution for the compressible Euler equations with damping and vacuum
- Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
- A well-balanced numerical scheme for a one-dimensional quasilinear hyperbolic model of chemotaxis
- A numerical comparison between degenerate parabolic and quasilinear hyperbolic models of cell movements under chemotaxis
- Convergence to strong nonlinear diffusion waves for solutions to \(p\)-system with damping on quadrant
- Darcy's law as long-time limit of adiabatic porous media flow
- 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
- OPTIMAL DECAY RATES TO CONSERVATION LAWS WITH DIFFUSION-TYPE TERMS OF REGULARITY-GAIN AND REGULARITY-LOSS
- Best Asymptotic Profile for Hyperbolicp-System with Damping
- GLOBAL SMOOTH FLOWS FOR THE COMPRESSIBLE EULER–MAXWELL SYSTEM: THE RELAXATION CASE
- 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
- Nonlinear stability of phase transition steady states to a hyperbolic–parabolic system modeling vascular networks
- Phase Transitions and Bump Solutions of the Keller--Segel Model with Volume Exclusion
- Approximation of Hyperbolic Models for Chemosensitive Movement
- A Review of Vasculogenesis Models
This page was built for publication: Asymptotic Stability of Diffusion Waves of a Quasi-Linear Hyperbolic-Parabolic Model for Vasculogenesis
