Diffusion equation

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  • Diffusion is the transport of matter from one point to another by thermal motion of atoms or molecules. It is relatively fast in gases, slow in liquids, and very slow in solids. Diffusion plays a key rˆole in many processes as diverse as intermixing of gases and liquids, permeation of atoms or molecules through membranes, evaporation of liquids, drying of timber, doping silicon wafers to make semiconductor devices, and transport of thermal neutrons in nuclear power reactors.

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  • The “origin of this species” lies in the pages of the journal Biometrika and precedes the birth of either of the authors. There, in his remarkable landmark 1951 paper “Random dispersal in theoretical populations,” J.G. Skellam made a number of observations that have profoundly affected the study of spatial ecology.

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Convergence of a Mimetic Finite Difference Method for Static Diffusion Equation

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Properties of Positive Solution for Nonlocal Reaction-Diffusion Equation with Nonlocal Boundary

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Reverse Smoothing Effects, Fine Asymptotics, and Harnack Inequalities for Fast Diffusion Equations

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  • (BQ) Part 1 book "The finite element method" has contents: Introduction and the equations of fluid dynamics; convection dominated problems - finite element appriximations to the convection-diffusion equation; a general algorithm for compressible and incompressible flows - the characteristic-based split (CBS) algorithm; incompressible laminar flow - newtonian and non-newtonian fluids; free surfaces, buoyancy and turbulent incompressible flows.

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  • The increasing demand on ultra miniturized electronic devices for ever improving performances has led to the necessity of a deep and detailed understanding of the mathematical theory of charge transport in semiconductors.

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  • For example, a combined advective-diffusion equation, such as ∂u ∂2 u ∂u = −v +D 2 ∂t ∂x ∂x (19.3.21) might profitably use an explicit scheme for the advective term combined with a Crank-Nicholson or other implicit scheme for the diffusion term. The alternating-direction implicit (ADI) method, equation (19.3.16), is an example of operator splitting with a slightly different twist. Let us reinterpret (19.3.19)

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  • (BQ) Part 1 book "Partial differential equations in action" has contents: Introduction, diffusion, the laplace equation, scalar conservation laws and first order equations, waves and vibrations.

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  • Tham khảo sách 'volume 4 mechanical engineers’ handbook third edition energy and power', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • This textbook has evolved from part of the first-year graduate curriculum in the Department of Materials Science and Engineering at the Massachusetts Institute of Technology (MIT) . This curriculum includes four required semester-long subjects- “Materials at Equilibrium,” “Mechanical Properties of Materials,” “Electrical, Optical, and Magnetic Properties of Materials,” and “Kinetic Processes in Materials.

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  • Starting from a derivation of the conservation equations for multicomponent multiphase flows in porous media and a discussion of convective vs. diffusive/dispersive transport, the reader is introduced to a mathematical framework, based on the method of characteristics, for solving convection-dominated transport problems.

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  • Tham khảo sách 'the materials information company.publication information and alloy phase diagrams volume 3', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • This research monograph concerns the design and analysis of discrete-time approximations for stochastic differential equations (SDEs) driven by Wiener processes and Poisson processes or Poisson jump measures. In financial and actuarial modeling and other areas of application, such jump diffusions are often used to describe the dynamics of various state variables. In finance these may represent, for instance, asset prices, credit ratings, stock indices, interest rates, exchange rates or commodity prices.

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  • In this research monograph, we explain the development of a mechanistic, stochastic theory of nonfickian solute dispersion in porous media. We have included sufficient amount of background material related to stochastic calculus and the scale dependency of diffusivity in this book so that it could be read independently.

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  • The purpose of this book is to introduce researchers and graduate students to a broad range of applications of computational simulations, with a particular emphasis on those involving computational fluid dynamics (CFD) simulations. The book is divided into three parts: Part I covers some basic research topics and development in numerical algorithms for CFD simulations, including Reynolds stress transport modeling, central difference schemes for convection-diffusion equations, and flow simulations involving simple geometries such as a flat plate or a vertical channel....

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