Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Ceretani, A."'
We investigate the existence of exact solutions in closed form to a fractional version of the nonlinear Boussinesq equation for groundwater flow through an unconfined aquifer. We show this fractional equation appears naturally when the classical nonl
Externí odkaz:
http://arxiv.org/abs/2303.04775
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 paper we model the neutralization of an acid solution in which the hydrogen ions are transported according to Cattaneo's diffusion. The latter is a modification of classical Fickian diffusion in which the flux adjusts to the gradient with a p
Externí odkaz:
http://arxiv.org/abs/1707.09962
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