Dimensionality of Local Minimizers of the Interaction Energy

This publication has 32 references indexed in Scilit:

• Nonlocal interactions by repulsive–attractive potentials: Radial ins/stability
  Physica D: Nonlinear Phenomena, 2013
• AGGREGATION AND SPREADING VIA THE NEWTONIAN POTENTIAL: THE DYNAMICS OF PATCH SOLUTIONS
  Mathematical Models and Methods in Applied Sciences, 2012
• Confinement in nonlocal interaction equations
  Nonlinear Analysis, 2012
• Characterization of Radially Symmetric Finite Time Blowup in Multidimensional Aggregation Equations
  SIAM Journal on Mathematical Analysis, 2012
• Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
  Duke Mathematical Journal, 2011
• A Primer of Swarm Equilibria
  SIAM Journal on Applied Dynamical Systems, 2011
• L^p theory for the multidimensional aggregation equation
  Communications on Pure and Applied Mathematics, 2010
• Blow-up in multidimensional aggregation equations with mildly singular interaction kernels
  Nonlinearity, 2009
• Finite-Time Blow-up of Solutions of an Aggregation Equation in R n
  Communications in Mathematical Physics, 2007
• Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
  Revista Matemática Iberoamericana, 2003