Stability Analysis of Line Patterns of an Anisotropic Interaction Model
DOI10.1137/18M1181638zbMath1430.35026arXiv1806.04966WikidataQ127023743 ScholiaQ127023743MaRDI QIDQ5207528
Carola-Bibiane Schönlieb, Lisa Maria Kreusser, Bertram Düring, José Antonio Carrillo
Publication date: 3 January 2020
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.04966
Interacting particle systems in time-dependent statistical mechanics (82C22) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) (n)-body problems (70F10) The dynamics of infinite particle systems (70F45) Pattern formations in context of PDEs (35B36)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A nonlocal continuum model for biological aggregation
- Regularity of local minimizers of the interaction energy via obstacle problems
- Dimensionality of local minimizers of the interaction energy
- A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity
- Nonlocal interaction equations: Stationary states and stability analysis.
- Confinement for repulsive-attractive kernels
- Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
- Stability of stationary states of non-local equations with singular interaction potentials
- Confinement in nonlocal interaction equations
- Explicit equilibrium solutions for the aggregation equation with power-law potentials
- Contractions in the 2-Wasserstein length space and thermalization of granular media
- The Filippov characteristic flow for the aggregation equation with mildly singular potentials
- Large scale dynamics of the persistent turning Walker model of fish behavior
- Do travelling band solutions describe cohesive swarms? An investigation for migratory locusts
- A non-local model for a swarm
- Modeling the aggregative behavior of ants of the species Polyergus rufescens
- Mutual interactions, potentials, and individual distance in a social aggregation
- Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
- Long-time asymptotics of kinetic models of granular flows
- On soccer balls and linearized inverse statistical mechanics
- Merkel cells and the individuality of friction ridge skin
- Ring patterns and their bifurcations in a nonlocal model of biological swarms
- Existence of compactly supported global minimisers for the interaction energy
- An anisotropic interaction model for simulating fingerprints
- Nonlocal interactions by repulsive-attractive potentials: radial ins/stability
- On an aggregation model with long and short range interactions
- Nonlinear stability of flock solutions in second-order swarming models
- An ODE model of the motion of pelagic fish
- 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
- A Primer of Swarm Equilibria
- STABLE STATIONARY STATES OF NON-LOCAL INTERACTION EQUATIONS
- Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
- Particle, kinetic, and hydrodynamic models of swarming
- Swarm dynamics and equilibria for a nonlocal aggregation model
- FROM EMPIRICAL DATA TO INTER-INDIVIDUAL INTERACTIONS: UNVEILING THE RULES OF COLLECTIVE ANIMAL BEHAVIOR
- Stability Analysis of Flock and Mill Rings for Second Order Models in Swarming
- Blow-up in multidimensional aggregation equations with mildly singular interaction kernels
- Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model
- Pattern formation of a nonlocal, anisotropic interaction model
- Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
This page was built for publication: Stability Analysis of Line Patterns of an Anisotropic Interaction Model