Geometric structure of mass concentration sets for pressureless Euler alignment systems

DOI10.1016/j.aim.2022.108290zbMath1490.35330arXiv2008.01049OpenAlexW3046914787MaRDI QIDQ2131753

Eitan Tadmor, Trevor M. Leslie, Daniel Lear, Roman Shvydkoy

Publication date: 27 April 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.01049

zbMATH Keywords

flockingcollective behaviorconcentration of massemergent dynamicsCucker-SmaleEuler alignment

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Swarming: hydrodynamic alignment with pressure ⋮ Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system ⋮ Collective behaviors of stochastic agent-based models and applications to finance and optimization ⋮ Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment ⋮ Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment ⋮ Finite- and infinite-time cluster formation for alignment dynamics on the real line ⋮ Large friction limit of pressureless Euler equations with nonlocal forces

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