Results 31 to 40 of about 7,542,543 (282)
Mathematical models of nonlinear longitudinal-cross oscillations of object with moving borders
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The nonlinear formulation of problems for describing longitudinal-cross oscillations of objects with moving borders is noted. These mathematical models consist of a system of two nonlinear partial differential equations with the higher time derivative of
Valeriy N Anisimov, Vladislav L Litvinov
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Pushing of Interstitial Elements in the Transition Zone under the Growing Diffusion Layers
Фізика і хімія твердого тіла, 2016 The kinetics of diffusion of interstitial elements on the example of diffusion saturation with boron and silicon iron- carbon matrix ( - iron) was considered .
A. I. Nesterenko, N. G. Nesterenko
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A simple way to solve boundary value problems in technological processes [PDF]
E3S Web of Conferences, 2023 The paper proposes a simple approximate method for solving differential equations for boundary value problems. A method is proposed for averaging differential equations over a moving volume, which allows obtaining approximate analytical solutions of ...
Dalabaev Umurdin +2 more
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Domain variations and moving boundary problems [PDF]
Calculus of Variations and Partial Differential Equations, 2017 In the past few decades maximal regularity theory has successfully been applied to moving boundary problems. The basic idea is to reduce the system with varying domains to one in a fixed domain. This is done by a transformation (the so-called Hanzawa transformation) and yields a typically nonlocal and nonlinear coupled system of (evolution) equations ...
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The method of analytical solution of wave equation with the conditions, assigned on the moving boundaries, is described. With the aid of the change of variables in the system of functional equations the original boundary-value problem is brought to the ...
V. N. Anisimov +2 more
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On the Weak Solution of Moving Boundary Problems [PDF]
IMA Journal of Applied Mathematics, 1979 The weak formulation of moving boundary problems with possibly vanishing specific heat, that is governed by parabolic and/or elliptic differential equations, is developed. The uniqueness of the resulting weak solution is then proved. This approach is used to obtain numerical solutions to some physical examples, which arise in electrochemical machining ...
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Mathematical Model of Pipeline Abandonment and Recovery in Deepwater
Journal of Applied Mathematics, 2014 In offshore oil and gas engineering the pipeline abandonment and recovery is unavoidable and its mechanical analysis is necessary and important. For this problem a third-order differential equation is used as the governing equation in this paper, rather ...
Xia-Guang Zeng, Meng-Lan Duan, Chen An
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SINGULARITY DEVELOPMENT IN MOVING-BOUNDARY PROBLEMS
The Quarterly Journal of Mechanics and Applied Mathematics, 1985 The paper deals with free boundary problems for the Laplace equation (typically, Hele-Shaw problem) and the heat equation (typically, Stefan problems). Conformal mapping methods are used to construct explicit solutions for the Hele-Shaw problem and these solutions are used to investigate singularity development for more general problems. An interesting
Howison, S, Ockendon, J, Lacey, A
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A second order convergent trial method for a free boundary problem in three dimensions [PDF]
, 2015 The present article is concerned with the solution of a generalized Bernoulli free boundary problem in three spatial dimensions. We parametrize the free boundary under consideration over the sphere and apply a trial method which updates the free boundary
Harbrecht, Helmut, Bugeanu, Monica
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On the weak solution of moving boundary problems [PDF]
, 1978 The weak formulation of moving boundary problems with possibly vanishing specific heat, that is governed by parabolic and/or elliptic differential equations, is developed. The uniqueness of the resulting weak solution is then proved.
Crowley, AB
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