Asymptotic stability of rarefaction wave for compressible Euler system with velocity alignment
DOI10.1088/1361-6544/ad422bzbMATH Open1542.35289MaRDI QIDQ6557864
Lin-An Li, Xiang Bai, Xiao Jing Xu
Publication date: 18 June 2024
Published in: Nonlinearity (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Fractional derivatives and integrals (26A33) A priori estimates in context of PDEs (35B45) Developmental biology, pattern formation (92C15) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Singularity in context of PDEs (35A21) Fractional partial differential equations (35R11) Euler equations (35Q31) Compressibility effects in hydrodynamic stability (76E19)
Cites Work
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- From particle to kinetic and hydrodynamic descriptions of flocking
- Fractional quantum mechanics and Lévy path integrals
- A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment
- Global regularity for the fractional Euler alignment system
- On Kato-Ponce and fractional Leibniz
- A maximum principle applied to quasi-geostrophic equations
- Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
- Eulerian dynamics with a commutator forcing. III: Fractional diffusion of order \(0 < \alpha < 1\)
- Eulerian dynamics with a commutator forcing. II: Flocking
- One dimensional singular Cucker-Smale model: uniform-in-time mean-field limit and contractivity
- Mean-field limits: from particle descriptions to macroscopic equations
- On the mean field limit for Cucker-Smale models
- A sharp critical threshold for a traffic flow model with look-ahead dynamics
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- A global unique solvability of entropic weak solution to the one-dimensional pressureless Euler system with a flocking dissipation
- On the global classical solution to compressible Euler system with singular velocity alignment
- Critical thresholds in flocking hydrodynamics with non-local alignment
- Fourier Analysis and Nonlinear Partial Differential Equations
- Asymptotic Properties of Entropy Solutions to Fractal Burgers Equation
- Hyperbolic systems of conservation laws II
- Entropy Hierarchies for Equations of Compressible Fluids and Self-Organized Dynamics
- On Convergence of Solutions of Fractal Burgers Equation toward Rarefaction Waves
- Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
- Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
- Eulerian dynamics with a commutator forcing
- The global Cauchy problem for compressible Euler equations with a nonlocal dissipation
- Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations
- Surface quasi-geostrophic dynamics
- Propagation of chaos for the Cucker-Smale systems under heavy tail communication
- Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces
- Hydrodynamic limit of the kinetic Cucker–Smale flocking model
- Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models
- Asymptotic Stability of Planar Rarefaction Waves for Viscous Conservation Laws in Several Dimensions
- Dynamics and Analysis of Alignment Models of Collective Behavior
- BV solutions for a hydrodynamic model of flocking-type with all-to-all interaction kernel
- Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker–Planck-alignment model
- Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment
- From BGK-alignment model to the pressured Euler-alignment system with singular communication weights
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