From the Vlasov-Poisson equation with strong local alignment to the pressureless Euler-Poisson system
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Publication:1996383
DOI10.1016/j.aml.2017.12.001zbMath1462.35397OpenAlexW2772292639MaRDI QIDQ1996383
Publication date: 4 March 2021
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2017.12.001
hydrodynamic limitVlasov-Poissonmono-kinetic distributionpressureless Euler-Poissonstrong local alignment
Asymptotic behavior of solutions to PDEs (35B40) Weak solutions to PDEs (35D30) Vlasov equations (35Q83) Euler equations (35Q31)
Related Items (4)
A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment ⋮ On well-posedness and singularity formation for the Euler-Riesz system ⋮ Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces ⋮ Hydrodynamic limit of the kinetic thermomechanical cucker-Smale model in a strong local alignment regime
Cites Work
- Critical thresholds in multi-dimensional Euler-Poisson equations with radial symmetry
- From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov
- Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
- Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
- A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment
- Hydrodynamic limit of granular gases to pressureless Euler in dimension 1
- On Strong Local Alignment in the Kinetic Cucker-Smale Model
- A hydrodynamic model for the interaction of Cucker–Smale particles and incompressible fluid
- Emergent Dynamics for the Hydrodynamic Cucker--Smale System in a Moving Domain
- Asymptotic analysis of Vlasov-type equations under strong local alignment regime
- Global existence of smooth solutions to the vlasov poisson system in three dimensions
- Existence of Weak Solutions to Kinetic Flocking Models
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