Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces
DOI10.1142/S0218202521500081zbMath1483.35267arXiv2007.04613MaRDI QIDQ5164210
Jinwook Jung, Young-Pil Choi, José Antonio Carrillo
Publication date: 10 November 2021
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.04613
Asymptotic behavior of solutions to PDEs (35B40) Developmental biology, pattern formation (92C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Weak solutions to PDEs (35D30) Vlasov equations (35Q83) Euler equations (35Q31) Strong solutions to PDEs (35D35) Fokker-Planck equations (35Q84)
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Cites Work
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- A nonlocal continuum model for biological aggregation
- Global smooth ion dynamics in the Euler-Poisson system
- A new model for self-organized dynamics and its flocking behavior
- Relative entropy method for the relaxation limit of hydrodynamic models
- The second law of thermodynamics and stability
- Smooth irrotational flows in the large to the Euler-Poisson system in \(\mathbb{R}^{3+1}\)
- The mathematical theory of dilute gases
- Global solutions to the isothermal Euler-Poisson plasma model
- A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment
- Mean-field limit for collective behavior models with sharp sensitivity regions
- Global solutions to the isothermal Euler-Poisson system with arbitrarily large data
- Convergence of shock capturing schemes for the compressible Euler-Poisson equations
- From the Vlasov-Poisson equation with strong local alignment to the pressureless Euler-Poisson system
- Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- Critical thresholds in Euler-Poisson equations
- Critical thresholds in 1D Euler equations with non-local forces
- On the pressureless damped Euler–Poisson equations with quadratic confinement: Critical thresholds and large-time behavior
- Relative Entropy in Diffusive Relaxation
- ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS
- From gas dynamics with large friction to gradient flows describing diffusion theories
- A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION
- Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds
- A limiting case for velocity averaging
- Propagation of chaos for aggregation equations with no-flux boundary conditions and sharp sensing zones
- The global Cauchy problem for compressible Euler equations with a nonlocal dissipation
- Existence of Weak Solutions to Kinetic Flocking Models
- A unified multiscale vision of behavioral crowds
- Hydrodynamic limit of the kinetic Cucker–Smale flocking model
- Hydrodynamic Cucker--Smale Model with Normalized Communication Weights and Time Delay
- Emergent Behavior in Flocks
- Weak solutions for Euler systems with non-local interactions
- GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS
- On the analysis of a coupled kinetic-fluid model with local alignment forces