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THE STATE OF THE PROBLEM OF THE JOINT MOVEMENT OF FLUID IN THE PORE SPACE
Вестник КазНУ. Серия математика, механика, информатика, 2022 This article discusses the problems of studying the issue of joint motion of liquids in the porous space. The article provides the construction of a mathematical model of the theory of ltration, which describes phase transitions.
A. A. Mussina +2 more
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A hyperbolic Stefan problem [PDF]
Quarterly of Applied Mathematics, 1983 Heat conduction is considered in a semi-infinite solid subjected to a high step change in surface heat flux, such that melting occurs. A time-dependent relaxation model for the energy flux is assumed, leading to a non-Fourier, non-linear equation for the thermal field, which is solved under suitable conditions on the interface displacement.
DE SOCIO, Luciano, GUALTIERI G.
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On the Two-phase Fractional Stefan Problem
Advanced Nonlinear Studies, 2020 The classical Stefan problem is one of the most studied free boundary problems of evolution type. Recently, there has been interest in treating the corresponding free boundary problem with nonlocal diffusion.
del Teso Félix +2 more
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On sentinel method of one-phase Stefan problem
Journal of Nigerian Society of Physical Sciences, 2023 This paper is interested in studying the one-phase Stefan problem. For this purpose, we use the nonlinear sentinel method, which relies typically on the approximate controllability and the Fanchel-Rockafellar duality of the minimization problem, to ...
Merabti Nesrine Lamya +4 more
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A study of a Stefan problem governed with space–time fractional derivatives [PDF]
Journal of Heat and Mass Transfer Research, 2016 This paper presents a fractional mathematical model of a one-dimensional phase-change problem (Stefan problem) with a variable latent-heat (a power function of position).
Rajeev ., M. Kushwaha, Abhishek Singh
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 We have studied the Stefan problem with Caputo fractional order time derivatives. The difference scheme is built. The algorithm and the program for a numerical solution of the Stefan problem with fractional differentiation operator are created.
Vetlugin D Beybalaev +4 more
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A new equivalence of Stefan's problems for the Time-Fractional-Diffusion Equation [PDF]
, 2014 A fractional Stefan problem with a boundary convective condition is solved, where the fractional derivative of order $ \alpha \in (0,1) $ is taken in the Caputo sense.
Marcus, Eduardo Santillan +1 more
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Mathematical Modelling and Analysis, 2008 A mathematical model for the diffusion process of ferromagnetic particles in a magnetic fluid is described. The unique solvability of the steady‐state particle concentration problem is investigated and an analytical expression for its solution is found ...
Viktor Polevikov, Lutz Tobiska
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Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face [PDF]
, 2018 Recently it was obtained in [Tarzia, Thermal Sci. 21A (2017) 1-11] for the classical two-phase Lam\'e-Clapeyron-Stefan problem an equivalence between the temperature and convective boundary conditions at the fixed face under a certain restriction ...
Bollati, Julieta, Tarzia, Domingo A.
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Solution of the Moisture Phase Transition Problem in the Insulation and Soils near Pipelines
MATEC Web of Conferences, 2016 The analysis of various approaches to the heat conductivity modeling in soils with phase transition based on Stefan problem is provided. Herein the analytical solution for Stefan problem is received only for special cases.The approximate methods of ...
Aksenov Boris, Kryaknina Svetlana
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