Well-posedness of an interaction model on Riemannian manifolds
DOI10.3934/cpaa.2022114OpenAlexW3196953764WikidataQ115219280 ScholiaQ115219280MaRDI QIDQ2691513
Francesco Saverio Patacchini, Razvan C. Fetecau
Publication date: 29 March 2023
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.03959
Asymptotic behavior of solutions to PDEs (35B40) Applications of PDEs on manifolds (58J90) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Integro-partial differential equations (35R09) PDEs on manifolds (35R01)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlocal-interaction equations on uniformly prox-regular sets
- 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
- An integro-differential equation arising as a limit of individual cell-based models
- A non-local model for a swarm
- Emergent behaviors of Lohe tensor flocks
- 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
- Newton method for finding a singularity of a special class of locally Lipschitz continuous vector fields on Riemannian manifolds
- Self-organization on Riemannian manifolds
- Emergent dynamics of a generalized Lohe model on some class of Lie groups
- Equilibria of biological aggregations with nonlocal repulsive-attractive interactions
- Finite-time blow-up of solutions of an aggregation equation in \(\mathbb R^n\)
- PREDICTING PATTERN FORMATION IN PARTICLE INTERACTIONS
- Heterophilious Dynamics Enhances Consensus
- Lp theory for the multidimensional aggregation equation
- STABLE STATIONARY STATES OF NON-LOCAL INTERACTION EQUATIONS
- Swarm dynamics and equilibria for a nonlocal aggregation model
- Nonlocal Interaction Equations in Environments with Heterogeneities and Boundaries
- Blow-up in multidimensional aggregation equations with mildly singular interaction kernels
- Introduction to Riemannian Manifolds
- Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds
- Asymptotic Dynamics of Attractive-Repulsive Swarms
- Gradient Method for Optimization on Riemannian Manifolds with Lower Bounded Curvature
- Riemannian geometry and geometric analysis
This page was built for publication: Well-posedness of an interaction model on Riemannian manifolds
