Existence of Compactly Supported Global Minimisers for the Interaction Energy
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605515514 | ||
| 003 | CHVBK | ||
| 005 | 20210128100709.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150901xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-015-0852-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0852-3 | ||
| 245 | 0 | 0 | |a Existence of Compactly Supported Global Minimisers for the Interaction Energy |h [Elektronische Daten] |c [José Cañizo, José Carrillo, Francesco Patacchini] |
| 520 | 3 | |a The existence of compactly supported global minimisers for continuum models of particles interacting through a potential is shown under almost optimal hypotheses. The main assumption on the potential is that it is catastrophic, or not H-stable, which is the complementary assumption to that in classical results on thermodynamic limits in statistical mechanics. The proof is based on a uniform control on the local mass around each point of the support of a global minimiser, together with an estimate on the size of the "gaps" it may have. The class of potentials for which we prove the existence of global minimisers includes power-law potentials and, for some range of parameters, Morse potentials, widely used in applications. We also show that the support of local minimisers is compact under suitable assumptions. | |
| 540 | |a The Author(s), 2015 | ||
| 700 | 1 | |a Cañizo |D José |u School of Mathematics, Watson Building, University of Birmingham, Edgbaston, B152TT, Birmingham, UK |4 aut | |
| 700 | 1 | |a Carrillo |D José |u Department of Mathematics, Imperial College London, South Kensington Campus, SW7 2AZ, London, UK |4 aut | |
| 700 | 1 | |a Patacchini |D Francesco |u Department of Mathematics, Imperial College London, South Kensington Campus, SW7 2AZ, London, UK |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/3(2015-09-01), 1197-1217 |x 0003-9527 |q 217:3<1197 |1 2015 |2 217 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0852-3 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0852-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Cañizo |D José |u School of Mathematics, Watson Building, University of Birmingham, Edgbaston, B152TT, Birmingham, UK |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Carrillo |D José |u Department of Mathematics, Imperial College London, South Kensington Campus, SW7 2AZ, London, UK |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Patacchini |D Francesco |u Department of Mathematics, Imperial College London, South Kensington Campus, SW7 2AZ, London, UK |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/3(2015-09-01), 1197-1217 |x 0003-9527 |q 217:3<1197 |1 2015 |2 217 |o 205 | ||