Aggregation-diffusion energies on domains with boundaries have an existence threshold set by the effective volume dimension, and asymmetric unbounded domains admit no minimizer without external confinement.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Equilibria of an aggregation model with linear diffusion in domains with boundaries
Aggregation-diffusion energies on domains with boundaries have an existence threshold set by the effective volume dimension, and asymmetric unbounded domains admit no minimizer without external confinement.