Equilibrium models based on a free energy functional deserve special interest in recent investigations, as their critical points exhibit various pattern structures. These systems are characterized by the presence of coexisting phases, whose distribution results from the competition between short and long-range interactions. This article deals with an energy-driven sharp interface model with long-range interaction being governed by a screened Coulomb kernel. We investigate a number of criteria for the stability of lamellar configurations, as they are indeed strict local minimizers. We also give a sufficient condition to ensure a nontrivial periodic 2D minimal energy configuration.

Stability of Lamellar Configurations in a Nonlocal Sharp Interface Model / Acerbi, Emilio Daniele Giovanni; Chen, Chao-Nien; Choi, Yung-Sze. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 1095-7154. - 54:1(2022), pp. 558-594.

Stability of Lamellar Configurations in a Nonlocal Sharp Interface Model

Acerbi Emilio Daniele
;
Chen Chao-Nien;Choi Yung-Sze
2022

Abstract

Equilibrium models based on a free energy functional deserve special interest in recent investigations, as their critical points exhibit various pattern structures. These systems are characterized by the presence of coexisting phases, whose distribution results from the competition between short and long-range interactions. This article deals with an energy-driven sharp interface model with long-range interaction being governed by a screened Coulomb kernel. We investigate a number of criteria for the stability of lamellar configurations, as they are indeed strict local minimizers. We also give a sufficient condition to ensure a nontrivial periodic 2D minimal energy configuration.
Stability of Lamellar Configurations in a Nonlocal Sharp Interface Model / Acerbi, Emilio Daniele Giovanni; Chen, Chao-Nien; Choi, Yung-Sze. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 1095-7154. - 54:1(2022), pp. 558-594.
File in questo prodotto:
File Dimensione Formato  
stabilitySIAMrevised.pdf

accesso aperto

Tipologia: Documento in Post-print
Licenza: Creative commons
Dimensione 470.34 kB
Formato Adobe PDF
470.34 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2902918
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact