Emergent behaviors of relativistic flocks on Riemannian manifolds
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Publication:2077607
DOI10.1016/j.physd.2021.133011zbMath1491.37077OpenAlexW3196625417WikidataQ115341681 ScholiaQ115341681MaRDI QIDQ2077607
Seung-Yeal Ha, Woojoo Shim, Myeongju Kang, Hyunjin Ahn
Publication date: 21 February 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2021.133011
PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)
Related Items (12)
Nonrelativistic limits of the relativistic Cucker–Smale model and its kinetic counterpart ⋮ On the relativistic flocks over the unit sphere and the hyperboloid in a bonding force field ⋮ Asymptotic flocking dynamics of a relativistic Cucker–Smale flock under singular communications ⋮ Uniform stability of the Cucker-Smale and thermodynamic Cucker-Smale ensembles with singular kernels ⋮ A velocity alignment model with a bonding force on complete Riemannian manifolds ⋮ Emergent behaviors of thermodynamic Cucker-Smale ensemble with a unit-speed constraint ⋮ Sufficient conditions for asymptotic phase-locking to the generalized Kuramoto model ⋮ Emergence of state-locking for the first-order nonlinear consensus model on the real line ⋮ Asymptotic flocking of the relativistic Cucker-Smale model with time delay ⋮ Non-emergence of mono-cluster flocking and multi-cluster flocking of the thermodynamic Cucker-Smale model with a unit-speed constraint ⋮ Uniform stability of the relativistic Cucker-Smale model and its application to a mean-field limit ⋮ The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds
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Cites Work
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