Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Boris P. Belinskiy"'
Autor:
Boris P. Belinskiy, Tanner A. Smith
Publikováno v:
Electronic Journal of Differential Equations, Vol 2024, Iss 08,, Pp 1-19 (2024)
Externí odkaz:
https://doaj.org/article/a8ee82a150bf43a7bf72a4d19fc2f398
Autor:
Boris P. Belinskiy, David H. Kotval
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 119,, Pp 1-18 (2018)
We derive an optimal design of a structure that is described by a Sturm-Liouville problem with boundary conditions that contain the spectral parameter linearly. In terms of Mechanics, we determine necessary conditions for a minimum-mass design wit
Externí odkaz:
https://doaj.org/article/07a827dfc14f4db1b7566b940bafbc2b
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 206,, Pp 1-17 (2015)
We minimize, with respect to the cross sectional area, the mass of a bar given the rate of heat transfer. The bar enhances the heat transfer surface of a larger known mass to which the bar is attached. This article is an extension of a previous pu
Externí odkaz:
https://doaj.org/article/aebab4466ae744f1ba4722cd0bbf1193
Publikováno v:
Electronic Journal of Differential Equations, Vol 2012, Iss 181,, Pp 1-13 (2012)
We maximize, with respect to the cross sectional area, the rate of heat transfer through a bar of given mass. The bar serves as an extended surface to enhance the heat transfer surface of a larger heated known mass to which the bar is attached. In th
Externí odkaz:
https://doaj.org/article/92937534070042c28699d6aa2a822a37
Publikováno v:
IMA Journal of Applied Mathematics. 87:804-851
We derive conditions for a one-term fourth-order Sturm–Liouville operator on a finite interval with one singular endpoint to have essential spectrum equal to $[0,\infty )$ or $\varnothing $. Of particular usefulness are Kummer–Liouville transform
Publikováno v:
Applicable Analysis. 101:1659-1681
We study a Sturm–Liouville problem in the cross-section of the ocean waveguide covered by pack ice. We prove the basis properties of the eigenfunctions, the convergence of the corresponding Fourier...
Publikováno v:
Applicable Analysis. 101:1553-1555
Publikováno v:
Studies in Applied Mathematics. 147:180-208
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:4745-4755
Publikováno v:
Optimization and Engineering. 22:1157-1180
A fin serves as an extended surface to enhance the heat transfer from a larger heated mass to which it is attached. We use a multiobjective optimization (MO) approach for a fin in steady-state to analyze the dynamics of effectiveness and efficiency s