On minimizers of interaction functionals with competing attractive and repulsive potentials
DOI10.1016/j.anihpc.2014.09.004zbMath1329.49019OpenAlexW2062391453MaRDI QIDQ896170
Ihsan Topaloglu, Razvan C. Fetecau, Rustum Choksi
Publication date: 11 December 2015
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.anihpc.2014.09.004
aggregationglobal minimizersself-assemblyconcentration compactness principleattractive/repulsive potentialsinteraction functionals
Variational methods applied to PDEs (35A15) Methods involving semicontinuity and convergence; relaxation (49J45) Pattern formations in context of PDEs (35B36)
Related Items (49)
Cites Work
- 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
- Intermediate asymptotics for critical and supercritical aggregation equations and Patlak-Keller-Segel models
- Stationary states of quadratic diffusion equations with long-range attraction
- 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
- Stability of stationary states of non-local equations with singular interaction potentials
- Confinement in nonlocal interaction equations
- Global minimizers for free energies of subcritical aggregation equations with degenerate diffusion
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- An integro-differential equation arising as a limit of individual cell-based models
- Large time behavior of nonlocal aggregation models with nonlinear diffusion
- Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
- Existence of axisymmetric equilibrium figures
- A non-local model for a swarm
- Some results on the Thomas-Fermi-Dirac-von Weizsäcker model
- 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 \(\mathbb R^n\)
- On an aggregation model with long and short range interactions
- Formation of clumps and patches in self-aggregation of finite-size particles
- Variational solutions of some nonlinear free boundary problems
- One-dimensional kinetic models of granular flows
- A blob method for the aggregation equation
- On an Isoperimetric Problem with a Competing Nonlocal Term I: The Planar Case
- Stationary States and Asymptotic Behavior of Aggregation Models with Nonlinear Local Repulsion
- PREDICTING PATTERN FORMATION IN PARTICLE INTERACTIONS
- AGGREGATION AND SPREADING VIA THE NEWTONIAN POTENTIAL: THE DYNAMICS OF PATCH SOLUTIONS
- Nonexistence of a Minimizer for Thomas-Fermi-Dirac-von Weizsäcker Model
- On global minimizers of repulsive–attractive power-law interaction energies
- A Primer of Swarm Equilibria
- Local and global well-posedness for aggregation equations and Patlak–Keller–Segel models with degenerate diffusion
- STABLE STATIONARY STATES OF NON-LOCAL INTERACTION EQUATIONS
- Swarm dynamics and equilibria for a nonlocal aggregation model
- Small Volume-Fraction Limit of the Diblock Copolymer Problem: II. Diffuse-Interface Functional
- Blow-up in multidimensional aggregation equations with mildly singular interaction kernels
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Thomas-fermi and related theories of atoms and molecules
- A kinetic equation for granular media
- Isoperimetric problem with a coulomb repulsive term
- Asymptotic Dynamics of Attractive-Repulsive Swarms
- Self-Similar Blowup Solutions to an Aggregation Equation in $R^n$
- Small Volume Fraction Limit of the Diblock Copolymer Problem: I. Sharp-Interface Functional
- On the first and second variations of a nonlocal isoperimetric problem
- From atoms to crystals: a mathematical journey
- Derivation of macroscopic equations for individual cell‐based models: a formal approach
This page was built for publication: On minimizers of interaction functionals with competing attractive and repulsive potentials