Arian Novruzi

Polygons as Optimal Shapes with Convexity Constraint

In this paper, we focus on the following general shape optimization problem:

Effects of radially dependent parameters on proton transport in polymer electrolyte membrane nanopores

\min\{J(\Omega),

An Electrohydrodynamic Equilibrium Shape Problem for Polymer Electrolyte Membranes in Fuel Cells

\Omega

Structure of shape derivatives

convex,

Regularity and Singularities of Optimal Convex Shapes in the Plane

\Omega\in\mathcal{S}_{ad}\}

Modeling, shape analysis and computation of the equilibrium pore shape near a PEM–PEM intersection

, where

Shape optimization of the hydrogen fuel cell cathode air channels

\mathcal{S}_{ad}

Estimates of First and Second Order Shape Derivatives in Nonsmooth Multidimensional Domains and Applications

is a set of 2-dimensional admissible shapes and

Existence of weak positive solutions to a nonlinear PDE system around a triple phase boundary, coupling domain and boundary variables

J:\mathcal{S}_{ad}\rightarrow\mathbb{R}