The ellipse law: Kirchhoff meets dislocations
From MaRDI portal
Publication:2291560
DOI10.1007/s00220-019-03368-wOpenAlexW2609543108WikidataQ114852518 ScholiaQ114852518MaRDI QIDQ2291560
Joan Mateu, Joan Verdera, Maria Giovanna Mora, Luca Rondi, Lucia Scardia, José Antonio Carrillo
Publication date: 31 January 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.07013
Numerical methods for ordinary differential equations (65Lxx) Applications of dynamical systems (37Nxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) Mathematical biology in general (92Bxx)
Related Items (14)
A maximum-principle approach to the minimisation of a nonlocal dislocation energy ⋮ Global minimisers for anisotropic attractive–repulsive interactions ⋮ Elasto-plastic evolution of single crystals driven by dislocation flow ⋮ Explicit minimisers for anisotropic Coulomb energies in 3D ⋮ Energy minimisers of perturbed dislocation energies ⋮ Stability of Ellipsoids as the Energy Minimizers of Perturbed Coulomb Energies ⋮ Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D ⋮ Classifying minimum energy states for interacting particles: regular simplices ⋮ Variational methods for the modelling of inelastic solids. Abstracts from the workshop held February 4--10, 2018 ⋮ The equilibrium measure for an anisotropic nonlocal energy ⋮ Symmetry in stationary and uniformly rotating solutions of active scalar equations ⋮ Explicit minimizers of some non-local anisotropic energies: a short proof ⋮ Equilibrium measure for a nonlocal dislocation energy with physical confinement ⋮ From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials
Cites Work
- Unnamed Item
- 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
- Asymptotic behaviour of a pile-up of infinite walls of edge dislocations
- Dimensionality of local minimizers of the interaction energy
- Orthogonal polynomials in the normal matrix model with a cubic potential
- Nonlinear porous medium flow with fractional potential pressure
- Explicit equilibrium solutions for the aggregation equation with power-law potentials
- Equilibrium measures for a class of potentials with discrete rotational symmetries
- Motions of vortex patches
- The obstacle problem revisited
- A non-local model for a swarm
- An introduction to \(\Gamma\)-convergence
- Geometry of minimizers for the interaction energy with mildly repulsive potentials
- Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
- On rotating doubly connected vortices
- Ring patterns and their bifurcations in a nonlocal model of biological swarms
- Existence of ground states of nonlocal-interaction energies
- Existence of compactly supported global minimisers for the interaction energy
- Asymptotic behaviour of a porous medium equation with fractional diffusion
- A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators
- Formation of clumps and patches in self-aggregation of finite-size particles
- One-dimensional kinetic models of granular flows
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- AGGREGATION AND SPREADING VIA THE NEWTONIAN POTENTIAL: THE DYNAMICS OF PATCH SOLUTIONS
- From Nash to Cournot–Nash equilibria via the Monge–Kantorovich problem
- Some free boundary problems involving non-local diffusion and aggregation
- Random matrix model with external source and a constrained vector equilibrium problem
- Stability Analysis of Flock and Mill Rings for Second Order Models in Swarming
- Generalized Kirchhoff vortices
- Equilibrium problems associated with fast decreasing polynomials
- Convergence of Interaction-Driven Evolutions of Dislocations with Wasserstein Dissipation and Slip-Plane Confinement
- The Equilibrium Measure for a Nonlocal Dislocation Energy
- Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction
- The evolution of Kirchhoff elliptic vortices
This page was built for publication: The ellipse law: Kirchhoff meets dislocations
