Equilibria and energy minimizers for an interaction model on the hyperbolic space
From MaRDI portal
Publication:2688085
DOI10.1016/j.physd.2023.133670OpenAlexW4320921944MaRDI QIDQ2688085
Razvan C. Fetecau, Hansol Park
Publication date: 9 March 2023
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.00197
Variational methods applied to PDEs (35A15) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09) PDEs on manifolds (35R01)
Cites Work
- Unnamed Item
- Regularity of local minimizers of the interaction energy via obstacle problems
- On the emergence and orbital stability of phase-locked states for the Lohe model
- Dimensionality of local minimizers of the interaction energy
- Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
- Contractions in the 2-Wasserstein length space and thermalization of granular media
- On minimizers of interaction functionals with competing attractive and repulsive potentials
- Symmetry and related properties via the maximum principle
- Geometry of minimizers for the interaction energy with mildly repulsive potentials
- On the relaxation dynamics of Lohe oscillators on some Riemannian manifolds
- An intrinsic aggregation model on the special orthogonal group \(SO(3)\): well-posedness and collective behaviours
- Emergent behaviors of high-dimensional Kuramoto models on Stiefel manifolds
- The nonlocal-interaction equation near attracting manifolds
- Self-organization on Riemannian manifolds
- Existence of ground states of nonlocal-interaction energies
- Existence of compactly supported global minimisers for the interaction energy
- Nonlocal interactions by repulsive-attractive potentials: radial ins/stability
- Equilibria of biological aggregations with nonlocal repulsive-attractive interactions
- Fourier and Gegenbauer expansions for a fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry
- PREDICTING PATTERN FORMATION IN PARTICLE INTERACTIONS
- AGGREGATION AND SPREADING VIA THE NEWTONIAN POTENTIAL: THE DYNAMICS OF PATCH SOLUTIONS
- Explicit flock solutions for Quasi-Morse potentials
- Heterophilious Dynamics Enhances Consensus
- A Primer of Swarm Equilibria
- STABLE STATIONARY STATES OF NON-LOCAL INTERACTION EQUATIONS
- Particle, kinetic, and hydrodynamic models of swarming
- Swarm dynamics and equilibria for a nonlocal aggregation model
- Emergent behaviors of a first-order particle swarm model on the hyperboloid
- Nonlocal Interaction Equations in Environments with Heterogeneities and Boundaries
- Blow-up in multidimensional aggregation equations with mildly singular interaction kernels
- Non-Abelian Kuramoto models and synchronization
- Synchronization of relativistic particles in the hyperbolic Kuramoto model
- A "liquid-solid" phase transition in a simple model for swarming, based on the "no flat-spots" theorem for subharmonic functions
- Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds
- Newtonian repulsion and radial confinement: Convergence toward steady state
- Emergent behaviors of a holonomic particle system on a sphere
- Stability analysis of swarms
- Classification of solutions for an integral equation
This page was built for publication: Equilibria and energy minimizers for an interaction model on the hyperbolic space