Swarm Equilibria in Domains with Boundaries
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Publication:5278043
DOI10.1137/17M1123900zbMath1375.35569arXiv1608.05068OpenAlexW3105207807MaRDI QIDQ5278043
Mitchell Kovacic, Razvan C. Fetecau
Publication date: 13 July 2017
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.05068
Attractors (35B41) Integro-partial differential equations (45K05) Stability for nonlinear problems in mechanics (70K20) Variational methods applied to PDEs (35A15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Fredholm integral equations (45B05)
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Swarming in domains with boundaries: approximation and regularization by nonlinear diffusion ⋮ Learning mean-field equations from particle data using WSINDy ⋮ Zero-diffusion limit for aggregation equations over bounded domains ⋮ An adaptive consensus based method for multi-objective optimization with uniform Pareto front approximation ⋮ Equilibria of an aggregation model with linear diffusion in domains with boundaries ⋮ Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain ⋮ Nonlocal Adhesion Models for Microorganisms on Bounded Domains
Cites Work
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- Nonlocal-interaction equations on uniformly prox-regular sets
- A nonlocal continuum model for biological aggregation
- Dimensionality of local minimizers of the interaction energy
- Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion
- Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
- Global minimizers for free energies of subcritical aggregation equations with degenerate diffusion
- 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
- On minimizers of interaction functionals with competing attractive and repulsive potentials
- Energy minimization and the formation of microstructure in dynamic anti- plane shear
- A non-local model for a swarm
- On the dynamics of fine structure
- On integral equations of the first kind with logarithmic kernels
- 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
- Finite-time blow-up of solutions of an aggregation equation in \(\mathbb R^n\)
- Formation of clumps and patches in self-aggregation of finite-size particles
- One-dimensional kinetic models of granular flows
- An Aggregation Equation with Degenerate Diffusion: Qualitative Property of Solutions
- Stationary States and Asymptotic Behavior of Aggregation Models with Nonlinear Local Repulsion
- AGGREGATION AND SPREADING VIA THE NEWTONIAN POTENTIAL: THE DYNAMICS OF PATCH SOLUTIONS
- Heterophilious Dynamics Enhances Consensus
- A Primer of Swarm Equilibria
- 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
- The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
- Existence of Weak Solutions to Some Vortex Density Models
- Asymptotic Dynamics of Attractive-Repulsive Swarms
- A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure
- Discontinuous dynamical systems
- Self-Similar Blowup Solutions to an Aggregation Equation in $R^n$
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