Results 1 to 10 of about 25,707 (165)
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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On the Two-phase Fractional Stefan Problem [PDF]
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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A Stefan problem on an evolving surface. [PDF]
Philos Trans A Math Phys Eng Sci, 2015 We formulate a Stefan problem on an evolving hypersurface and study the well posedness of weak solutions given L 1 data. To do this, we first develop function spaces and results to handle equations on evolving surfaces in order to give a natural treatment of the problem.
Alphonse A, Elliott CM.
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A numerical method for a stefan-type problem
Mathematical Modelling and Analysis, 2011 A Stefan-type problem is considered. This is an initial-boundary value problem on a composite domain for a parabolic reaction-diffusion equation with a moving interface boundary.
G. Shishkin, L. Shishkina, K. Cronin
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Calculus of Variations and Partial Differential Equations, 2020 We consider the inverse multiphase Stefan problem with homogeneous Dirichlet boundary condition on a bounded Lipschitz domain, where the density of the heat source is unknown in addition to the temperature and the phase transition boundaries. The variational formulation is pursued in the optimal control framework, where the density of the heat source ...
Abdulla, Ugur G., Poggi, Bruno
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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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A Hyperbolic Stefan Problem [PDF]
Rocky Mountain Journal of Mathematics, 1987 A free-boundary problem of Stefan type is presented under constitutive assumptions on flux and energy which contain an effective time delay. This contains the hyperbolic telegraphers equation and, hence, has the feature that propagation speed of disturbances is bounded. With the appropriate physically consistent condition on the interface this is shown
Showalter, R.E., Walkington, N.J.
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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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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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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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