Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Ceretani, Andrea N."'
We introduce a definition of the fractional Laplacian $(-\Delta)^{s(\cdot)}$ with spatially variable order $s:\Omega\to [0,1]$ and study the solvability of the associated Poisson problem on a bounded domain $\Omega$. The initial motivation arises fro
Externí odkaz:
http://arxiv.org/abs/2106.11471
We address the existence and uniqueness of the so-called modified error function that arises in the study of phase-change problems with specific heat and thermal conductivity given by linear functions of the material temperature. This function is def
Externí odkaz:
http://arxiv.org/abs/1910.04534
We study a Boussinesq system in a bounded domain with an outlet boundary portion where fluid can leave or re-enter. On this boundary part, we consider a do-nothing condition for the fluid flow, and a new artificial condition for the heat transfer tha
Externí odkaz:
http://arxiv.org/abs/1910.03994
Publikováno v:
In Systems & Control Letters March 2023 173
Autor:
Ceretani, Andrea N.
Publikováno v:
Fractional Calculus and Applied Analysis 23:1 (2020), 167-182
We review some fractional free boundary problems that were recently considered for modeling anomalous phase-transitions. All problems are of Stefan type and involve fractional derivatives in time according to Caputo's definition. We survey the assump
Externí odkaz:
http://arxiv.org/abs/1801.10069
In this article it is proved the existence of similarity solutions for a one-phase Stefan problem with temperature-dependent thermal conductivity and a Robin condition at the fixed face. The temperature distribution is obtained through a generalized
Externí odkaz:
http://arxiv.org/abs/1706.06984
In this article, we obtain explicit approximations of the modified error function introduced in Cho, Sunderland. Journal of Heat Transfer 96-2 (1974), 214-217, as part of a Stefan problem with a temperature-dependent thermal conductivity. This functi
Externí odkaz:
http://arxiv.org/abs/1705.03031
This article is devoted to prove the existence and uniqueness of solution to the non-linear second order differential problem through which is defined the modified error function introduced in Cho-Sunderland, J. Heat Transfer, 96-2:214-217, 1974. We
Externí odkaz:
http://arxiv.org/abs/1612.09323
A two-phase solidification process for a one-dimensional semi-infinite material is considered. It is assumed that it is ensued from a constant bulk temperature present in the vicinity of the fixed boundary, which it is modelled through a convective c
Externí odkaz:
http://arxiv.org/abs/1609.04690
Publikováno v:
Fractional Calculus and Applied Analysis, 20- 2 (2017), 399-421
We consider a semi-infinite one-dimensional phase-change material with two unknown constant thermal coefficients among the latent heat per unit mass, the specific heat, the mass density and the thermal conductivity. Aiming at the determination of the
Externí odkaz:
http://arxiv.org/abs/1608.06782