OPTIMAL GEOMETRY IN EQUILIBRIUM AND GROWTH-Reference-Cited by-同舟云学术

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OPTIMAL GEOMETRY IN EQUILIBRIUM AND GROWTH

Published:1995-12 Issue:04 Volume:03 Page:713-723
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

ALMGREN FRED¹²,TAYLOR JEAN E.¹²

Affiliation:

1. Mathematics Department, Princeton University, Princeton, NJ 08544, USA

2. Mathematics Department, Rutgers University, Piscataway, NJ 08855, USA

Abstract

We discuss geometric optimization as a mathematical device with which to model several natural processes involving surface free energy.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X95000631

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Shape optimization of a Helmholtz resonator using an adjoint method;International Journal of Spray and Combustion Dynamics;2017-05-18

2. Equilibrium Shape of Crystals;Handbook of Crystal Growth;2015

3. First variation of the general curvature-dependent surface energy;ESAIM: Mathematical Modelling and Numerical Analysis;2011-07-22

4. On some Variational Problems Involving Volume and Surface Energies;Journal of Optimization Theory and Applications;2010-02-12

5. Finite Element-Based Level Set Methods for Higher Order Flows;Journal of Scientific Computing;2008-06

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