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On Ground Water Flow to an Imperfect Gallery: Case of Evaporation from a Free Surface
The plane steady-state filtration in a phreatimetric formation to an imperfect gallery in the presence of evaporation from the free surface of...
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Fractional Diffusion Model, Anomalous Statistics and Random Process
The phenomenon of spontaneous migration of particles (e.g. atoms, molecules or molecules).
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Taylor dispersion in non-Darcy porous media with bulk chemical reaction: a model for drug transport in impeded blood vessels
The present article discusses the solute transport process in steady laminar blood flow through a non-Darcy porous medium, as a model for drug...
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Hybrid Analysis of Radiation Effects on Maxell SWCNT Nanofluid in Nanotube for Combined Magnetic Stretching Sheet and Varies Wires
In this paper, the effects of Maxwell Nanoliquid transmission with Swcnt nanoparticle is investigated over the current circular wire and stretching...
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Solution method and parameter estimation of uncertain partial differential equation with application to China’s population
Since the concept of uncertain partial differential equations (UPDEs) was proposed, it has been developed significantly and led us to study parameter...
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Approximate Controllability from the Exterior for a Nonlocal Sobolev–Galpern Type Equation
AbstractIn this paper, we study the approximate control problem from the exterior of a nonlocal equation of Sobolev–Galpern type, specifically the...
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Modelling Sea Ice and Melt Ponds Evolution: Sensitivity to Microscale Heat Transfer Mechanisms
We present a mathematical model describing the evolution of sea ice and meltwater during summer. The system is described by two coupled partial...
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A Mixed Finite Element and Characteristic Mixed Finite Element for Incompressible Miscible Darcy-Forchheimer Displacement and Numerical Analysis
In this paper a mixed finite element-characteristic mixed finite element method is discussed to simulate an incompressible miscible Darcy-Forchheimer...
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Application of Artificial Immune System in Optimal Design of Irrigation Canal
Artificial Immune System (AIS) is an emerging field of computational intelligence used in engineering and scientific applications. Like other...
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Some Two-Dimensional Boundary-Value Problems of Filtration Dynamics for Models with Proportional Caputo Derivative
Closed-form solutions are obtained for some two-dimensional non-stationary boundary-value problems of filtration dynamics in fractured-porous rocks,...
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Modeling Groundwater Flow in Unconfined Conditions: Numerical Model and Solvers’ Efficiency
A mathematical model for variably saturated flow in unconfined conditions is presented. The model is based on pseudo-unsaturated approach using...
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Fully-Decoupled and Second-Order Time-Accurate Scheme for the Cahn–Hilliard Ohta–Kawaski Phase-Field Model of Diblock Copolymer Melt Confined in Hele–Shaw Cell
In this work, we consider numerical approximations of the phase-field model of diblock copolymer melt confined in Hele–Shaw cell, which is a very...
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Stream Function Solution of the Brinkman Equation in Parabolic Cylindrical Coordinates
The present work concerns the general stream function solution of the Brinkman equation in parabolic cylindrical coordinates, arising in the study of...
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Application of FVM in Modeling of Subsurface Radionuclide Migration
In this chapter, the hydrogeological multi-physics models and corresponding numerical methods are presented basing on the authors’ experience of GeRa...
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Temporal to spatial instability in a flow system: a comparison
The definitions of temporal instability and of spatial instability in a flow system are comparatively surveyed. The simple model of one-dimensional...
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Higher Regularity and Finite Time Blow-up to Nonlocal Pseudo-parabolic Equation with Conical Degeneration
This paper deals with the initial-boundary value problem to a nonlocal semilinear pseudo-parabolic equation with conical degeneration, which has been...
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Analysis on nonlinear effect of unsteady percolation in the inhomogeneous shale gas reservoir
The nonlinear effects of unsteady multi-scale shale gas percolation, such as desorption, slippage, diffusion, pressure-dependent viscosity, and...
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A phase-field model for simulating the propagation behavior of mixed-mode cracks during the hydraulic fracturing process in fractured reservoirs
A novel phase-field model for the propagation of mixed-mode hydraulic fractures, characterized by the formation of mixed-mode fractures due to the...
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Some existence results for a differential equation and an inclusion of fractional order via (convex) F-contraction map**
The existence of solutions for a class of μ -Caputo fractional differential equations and an inclusion problem equipped with nonlocal μ -integral...
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On the modelling of thermal convection in porous media through rate-type equations
The paper investigates current models of flows in porous media from the viewpoint of the mixture theory. The constitutive equations are investigated...