On the Euler-alignment system with weakly singular communication weights
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Publication:5112214
DOI10.1088/1361-6544/ab6c39zbMath1442.35479arXiv1901.02582OpenAlexW3009485299MaRDI QIDQ5112214
Publication date: 28 May 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.02582
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Navier-Stokes equations (35Q30) Developmental biology, pattern formation (92C15) Blow-up in context of PDEs (35B44)
Related Items (15)
Geometric structure of mass concentration sets for pressureless Euler alignment systems ⋮ Swarming: hydrodynamic alignment with pressure ⋮ Critical thresholds in the Euler-Poisson-alignment system ⋮ Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker–Planck-alignment model ⋮ Existence of radial global smooth solutions to the pressureless Euler-Poisson equations with quadratic confinement ⋮ Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system ⋮ 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 ⋮ Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment ⋮ Finite- and infinite-time cluster formation for alignment dynamics on the real line ⋮ Sharp critical thresholds for a class of nonlocal traffic flow models ⋮ Global regularity for a 1D Euler-alignment system with misalignment ⋮ Global dynamics of the one-dimensional Euler-alignment system with weakly singular kernel ⋮ Eulerian Dynamics in Multidimensions with Radial Symmetry ⋮ On the Lagrangian trajectories for the one-dimensional Euler alignment model without vacuum velocity
Cites Work
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