This paper is concerned with the regularity of shape optimizers a class isoperimetric problems under convexity constraint. We prove that minimizers sum perimeter and perturbative term, among convex shapes, are $$C^{1,1}$$ -regular. To end, we define notion quasi-minimizer fitted to context show any such The proof relies on cutting procedure which was introduced similar results in calculus varia...

A new method of optimization on linear parabolic solar collectors using exergy analysis is presented. A comprehensive mathematical modeling of thermal and optical performance is simulated and geometrical and thermodynamic parameters were assumed as optimization variables. By applying a derived expression for exergy efficiency, exergy losses were generated and the optimum design and operating co...