Skip to main content

Stable interfaces: phase transitions, minimal surfaces, and free boundaries

Project description

Seeing stable relationships in a new light with a little help from advanced mathematics

When Joseph Louis Lagrange in 1762 derived the equation of minimal surfaces, he could not possibly suspect its deep connections with the theory of phase transitions, which would only be developed two centuries later. We are all familiar with some phase transitions such as ice melting in water. But there are dozens of them which are critical to daily activity and human innovation: metals in an alloy, superconductivity, decision boundaries in finance, liquid crystals, combustion, optimal design of insulators, and many more. Despite the ubiquitous nature and significance of phase transitions, our ability to analyse their stable behaviours mathematically is astoundingly limited. The EU-funded StableIF project combines recent advances with classical tools from the theory of minimal surfaces to develop the mathematical analysis that will enhance our understanding of stable phase transitions.

Call for proposal

ERC-2020-STG
See other projects for this call

Host institution

EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
Address
Raemistrasse 101
8092 Zuerich
Switzerland
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 348 125

Beneficiaries (2)

EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
Switzerland
EU contribution
€ 1 348 125
Address
Raemistrasse 101
8092 Zuerich
Activity type
Higher or Secondary Education Establishments
BCAM - BASQUE CENTER FOR APPLIED MATHEMATICS
Spain
EU contribution
€ 50 000
Address
Al Mazarredo 14
48009 Bilbao
Activity type
Research Organisations