Abstract
We consider a mesoscopic model of phase transitions and investigate the geometric properties of the interfaces of the associated minimal solutions. We provide density estimates for level sets and, in the periodic setting, we construct minimal interfaces at a universal distance from any given hyperplane.
| Original language | English |
|---|---|
| Pages (from-to) | 777-798 |
| Number of pages | 22 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 19 |
| Issue number | 4 |
| Publication status | Published - 1 Dec 2007 |
| Externally published | Yes |
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The geometry of mesoscopic phase transition interfaces. / Novaga, Matteo; Valdinoci, Enrico.
In: Discrete and Continuous Dynamical Systems, Vol. 19, No. 4, 01.12.2007, p. 777-798.Research output: Contribution to journal › Article
TY - JOUR
T1 - The geometry of mesoscopic phase transition interfaces
AU - Novaga, Matteo
AU - Valdinoci, Enrico
PY - 2007/12/1
Y1 - 2007/12/1
N2 - We consider a mesoscopic model of phase transitions and investigate the geometric properties of the interfaces of the associated minimal solutions. We provide density estimates for level sets and, in the periodic setting, we construct minimal interfaces at a universal distance from any given hyperplane.
AB - We consider a mesoscopic model of phase transitions and investigate the geometric properties of the interfaces of the associated minimal solutions. We provide density estimates for level sets and, in the periodic setting, we construct minimal interfaces at a universal distance from any given hyperplane.
KW - Density estimates
KW - Ginzburg-Landau-Allen-Cahn equation
KW - Plane-like solutions
UR - http://www.scopus.com/inward/record.url?scp=39649086682&partnerID=8YFLogxK
M3 - Article
VL - 19
SP - 777
EP - 798
JO - DISCRETE & CONTINUOUS DYNAMICAL SYSTEMS. SERIES A
JF - DISCRETE & CONTINUOUS DYNAMICAL SYSTEMS. SERIES A
SN - 1078-0947
IS - 4
ER -