Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment
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Publication:6140128
DOI10.1016/j.jde.2023.10.044arXiv2210.11438MaRDI QIDQ6140128
Publication date: 19 January 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.11438
Asymptotic behavior of solutions to PDEs (35B40) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Euler equations (35Q31)
Cites Work
- A new model for self-organized dynamics and its flocking behavior
- On the Lagrangian trajectories for the one-dimensional Euler alignment model without vacuum velocity
- From particle to kinetic and hydrodynamic descriptions of flocking
- A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment
- Collision-avoiding in the singular Cucker-Smale model with nonlinear velocity couplings
- Global regularity for the fractional Euler alignment system
- Eulerian dynamics with a commutator forcing. II: Flocking
- The fractional \(p\)-Laplacian evolution equation in \(\mathbb{R}^N\) in the sublinear case
- Complete characterization of flocking versus nonflocking of Cucker-Smale model with nonlinear velocity couplings
- Geometric structure of mass concentration sets for pressureless Euler alignment systems
- The global classical solution to compressible Euler system with velocity alignment
- The evolution fractional p-Laplacian equation in \(\mathbb{R}^N\). Fundamental solution and asymptotic behaviour
- Growing solutions of the fractional \(p\)-Laplacian equation in the fast diffusion range
- Singularity formation for a fluid mechanics model with nonlocal velocity
- Global existence and stability of nearly aligned flocks
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- The Dirichlet problem for the fractional \(p\)-Laplacian evolution equation
- On the global classical solution to compressible Euler system with singular velocity alignment
- Critical thresholds in 1D Euler equations with non-local forces
- Flocking of multi-agent dynamical systems with intermittent nonlinear velocity measurements
- Critical thresholds in flocking hydrodynamics with non-local alignment
- Entropy Hierarchies for Equations of Compressible Fluids and Self-Organized Dynamics
- Global well-posedness for the Euler alignment system with mildly singular interactions
- Local well-posedness of the generalized Cucker-Smale model with singular kernels
- Global Regularity for 1D Eulerian Dynamics with Singular Interaction Forces
- Eulerian dynamics with a commutator forcing
- Regular solutions to the fractional Euler alignment system in the Besov spaces framework
- The global Cauchy problem for compressible Euler equations with a nonlocal dissipation
- On the structure of limiting flocks in hydrodynamic Euler Alignment models
- Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings
- Eulerian Dynamics in Multidimensions with Radial Symmetry
- On the Euler-alignment system with weakly singular communication weights
- Singularity formation for the fractional Euler-alignment system in 1D
- Global regularity for a 1D Euler-alignment system with misalignment
- Emergent Behavior in Flocks
- Dynamics and Analysis of Alignment Models of Collective Behavior
- Hydrodynamic alignment with pressure II. Multi-species
- Swarming: hydrodynamic alignment with pressure
- 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
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