First-order aggregation models and zero inertia limits
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Publication:496769
DOI10.1016/j.jde.2015.08.018zbMath1329.35320arXiv1410.7095OpenAlexW1796144370MaRDI QIDQ496769
Publication date: 22 September 2015
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.7095
macroscopic limitkinetic equationsparticle methodsmass transportationmeasure solutionsaggregation models
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) The dynamics of infinite particle systems (70F45) PDEs in connection with mechanics of particles and systems of particles (35Q70)
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Cites Work
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- A nonlocal continuum model for biological aggregation
- Dimensionality of local minimizers of the interaction energy
- Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
- An integro-differential equation arising as a limit of individual cell-based models
- On minimizers of interaction functionals with competing attractive and repulsive potentials
- Large time behavior of nonlocal aggregation models with nonlinear diffusion
- Geometric singular perturbation theory for ordinary differential equations
- A non-local model for a swarm
- Macroscopic limit of Vlasov type equations with friction
- On soccer balls and linearized inverse statistical mechanics
- 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
- PREDICTING PATTERN FORMATION IN PARTICLE INTERACTIONS
- Heterophilious Dynamics Enhances Consensus
- A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION
- Lp theory for the multidimensional aggregation equation
- STABLE STATIONARY STATES OF NON-LOCAL INTERACTION EQUATIONS
- Particle, kinetic, and hydrodynamic models of swarming
- Swarm dynamics and equilibria for a nonlocal aggregation model
- Anisotropic interactions in a first-order aggregation model
- Blow-up in multidimensional aggregation equations with mildly singular interaction kernels
- Asymptotic Dynamics of Attractive-Repulsive Swarms
- A mathematical PDE perspective on the Chapman–Enskog expansion
- Local and Global Existence for an Aggregation Equation
- ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES
- Derivation of macroscopic equations for individual cell‐based models: a formal approach
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