Moving boundary analysis of fractured shale gas reservoir
工程科学学报, 2019 Shale gas reservoirs are extremely tight, their pores are mainly nano-micron size, and their gas flow resistance is greater than that of conventional gases.
Qian QI, Wei-yao ZHU
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Well-posedness of a parabolic moving-boundary problem in the setting of Wasserstein gradient flows [PDF]
, 2010 We develop a gradient-flow framework based on the Wasserstein metric for a parabolic moving-boundary problem that models crystal dissolution and precipitation. In doing so we derive a new weak formulation for this moving-boundary problem and we show that
Peletier, Mark A., Portegies, Jacobus W.
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Moving Dirichlet boundary conditions [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2014 This paper develops a framework to include Dirichlet boundary conditions on a subset of the boundary which depends on time. In this model, the boundary conditions are weakly enforced with the help of a Lagrange multiplier method. In order to avoid that the ansatz space of the Lagrange multiplier depends on time, a bi-Lipschitz transformation, which ...
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Stabilization of the wave equation with moving boundary [PDF]
European Journal of Control, 2017 We deal with the wave equation with assigned moving boundary (0 [1] and Yoccoz (1984) [13] . At the end we give a remark on the moving-pointwise stabilization problem.
K. Ammari, A. Bchatnia, K. Mufti
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Superconducting circuit boundary conditions beyond the Dynamical Casimir Effect [PDF]
, 2015 We study analytically the time-dependent boundary conditions of superconducting microwave circuit experiments in the high plasma frequency limit, in which the conditions are Robin-type and relate the value of the field to the spatial derivative of the ...
Doukas, Jason, Louko, Jorma
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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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To the solution of the Solonnikov-Fasano problem with boundary moving on arbitrary law x = γ(t).
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we study the solvability of the boundary value problem for the heat equation in a domain that degenerates into a point at the initial moment of time. In this case, the boundary changing with time moves according to an arbitrary law x = γ(t)
M.T. Jenaliyev +2 more
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Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications [PDF]
Open Communications in Nonlinear Mathematical PhysicsMoving boundary problems of Stefan-type for a novel third order nonlinear evolution equation with temporal modulation are here shown to be amenable to exact Airy-type solution via a classical Ermakov equation with its admitted nonlinear superposition ...
Colin Rogers, Adriana C. Briozzo
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Global Steady Prandtl Expansion over a Moving Boundary I [PDF]
Peking Mathematical Journal, 2016 This is the first of three papers in which we prove that steady, incompressible Navier–Stokes flows posed over the moving boundary, $$y = 0$$y=0, can be decomposed into Euler and Prandtl flows in the inviscid limit globally in $$[1, \infty ) \times [0 ...
Sameer Iyer
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Radially Symmetrical Heat Hydrate Dissociation Model with a Density Difference
Energies, 2022 The hydrate dissociation is viewed as a phase change process in which hydrates transform from a solid phase into gas and liquid phase at a moving dissociation boundary.
Qian Wang +5 more
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