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
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.
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
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
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
(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.
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.
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)
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.
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.
Tham khảo sách 'reliability in automotive and mechanical engineering determination of component and system reliab', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả
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
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.
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.
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....
In 1896, Karl Benz was granted a patent for his design of the first engine with horizontally opposed pistons. His design created an engine in which the corresponding pistons move in horizontal cylinders and reach top dead center simultaneously, thus automatically balancing each other with respect to their individual momentum. Engines of this design are often referred to as flat engines because of their shape and lower profile.