Results 1 to 10 of about 26,570 (117)
Improved Physics-Informed Neural Networks Combined with Small Sample Learning to Solve Two-Dimensional Stefan Problem [PDF]
Entropy, 2023 With the remarkable development of deep learning in the field of science, deep neural networks provide a new way to solve the Stefan problem. In this paper, deep neural networks combined with small sample learning and a general deep learning framework ...
Jiawei Li, Wei Wu, Xinlong Feng
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Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework* [PDF]
ESAIM: Proceedings and Surveys, 2023 This work is motivated by the modelling a liquid-vapour flows with phase transition describing the evolution of the coolant within an heat exchanger (e.g. the core of a Pressurized Water Reactor).
Faccanoni Gloria, Galusinski Cédric
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Regularity of the free boundary in the one-phase Stefan problem: a recent approach
Bruno Pini Mathematical Analysis Seminar, 2022 In this note, we discuss about the regularity of the free boundary for the solutions of the one-phase Stefan problem. We start by recalling the classical results achieved by I. Athanasopoulos, L. Caffarelli, and S.
Nicolò Forcillo
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Лëд и снег, 2023 This article presents a numerical solution of the one-dimensional Stefan problem with two phase transitions, which is implemented on a non-uniform grid. The system of equations is written in a general form, i.e.
S. V. Popov
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Вісник Харківського національного університету імені В.Н. Каразіна. Серія: Математичне моделювання, інформаційні технології, автоматизовані системи управління, 2021 With the development of computer technology and progress in the field of modeling physical and chemical processes, methods of increasing the accuracy, as well as simplifying the algorithms and methods for calculating mathematical models, become ...
Микола Нестеренко +2 more
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The tomb of Queen Theodora at the Banjska Monastery - another reexamination [PDF]
Zbornik Radova Vizantološkog Instituta, 2023 The paper explores the problem of the tomb of Queen Theodora, the first wife of King Stefan Dečanski and mother of King and later Emperor Stefan Dušan, at the Banjska Monastery, a foundation of King Stefan Uroš II Milutin.
Popović Danica
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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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Impact of rigid body and viscous-plastic rod of finite length [PDF]
E3S Web of Conferences, 2023 The impact of a rigid body and a rod of finite length made of a viscoplastic incompressible material moving towards each other at constant velocity is studied in the article.
Begmatov Abduvali, Mamatova Nigora
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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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