Some mathematical problems related to the second order optimal shape of a crystallisation interface

DOI10.3934/dcds.2015.35.2443zbMath1334.49132OpenAlexW2332962516MaRDI QIDQ255620

Pierre-Étienne Druet

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.2443

zbMATH Keywords

optimal shapefirst order optimality conditionscrystallization interfacepointwise gradient state constraintsStefan-Gibbs-Thomson problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for second-order elliptic equations (35J25) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stefan problems, phase changes, etc. (80A22) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10)

Cites Work

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