Found 24 Documents (Results 1–24)
Finite- and infinite-time cluster formation for alignment dynamics on the real line. (English) Zbl 1533.35254
Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment. (English) Zbl 1531.35053
From BGK-alignment model to the pressured Euler-alignment system with singular communication weights. (English) Zbl 1531.35238
Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment. (English) Zbl 1530.35194
Global existence and limiting behavior of unidirectional flocks for the fractional Euler alignment system. (English) Zbl 1520.92093
Sticky particle Cucker-Smale dynamics and the entropic selection principle for the 1D Euler-alignment system. (English) Zbl 1515.35197
Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker-Planck-alignment model. (English) Zbl 1522.35381
The large-time behavior of the Vlasov alignment model with power-law or Riesz potentials. (English) Zbl 1514.92185
Reviewer: Jiu-Gang Dong (Dalian)
MSC:
92D50
Geometric structure of mass concentration sets for pressureless Euler alignment systems. (English) Zbl 1490.35330
Global dynamics of the one-dimensional Euler-alignment system with weakly singular kernel. (English) Zbl 1485.93037
MSC:
93A16
On the global classical solution to compressible Euler system with singular velocity alignment. (English) Zbl 1510.35232
Unidirectional flocks in hydrodynamic Euler alignment system. II: Singular models. (English) Zbl 1476.35204
Singularity formation for the fractional Euler-alignment system in 1D. (English) Zbl 1456.35159
Reviewer: Piotr Biler (Wrocław)
Local well-posedness of the topological Euler alignment models of collective behavior. (English) Zbl 1451.92350
On the Lagrangian trajectories for the one-dimensional Euler alignment model without vacuum velocity. (English) Zbl 1447.35270
The global Cauchy problem for compressible Euler equations with a nonlocal dissipation. (English) Zbl 1414.35155
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