Titlebook: Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters; Hans G. Kaper,Marc Garbey,Gail W. Pieper Boo

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書目名稱Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters影響因子(影響力)學(xué)科排名




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書目名稱Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters讀者反饋學(xué)科排名

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Time-Scale Decoupling for Nearly Periodic Advection-Diffusion Equationsproblems arise in tidally induced transport of constituents. An asymptotic approximation of the solution with .(?) accuracy on a long .(l/?)-time scale is constructed by using a rigorous averaging method. The averaged problem on the long time scale is completely decoupled from the .(1) time scale of

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Domain Decomposition: A Blowup Problem and the Ginzburg-Landau Equationsations. In our problems, the local behavior varies because of the nonlinear and singular nature of the equations. Attempts to introduce different, length scales did not lead to improvement. We found that different forms of the equations have to be used over different subdomains. The first project ar

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Asymptotics and Multiscale Simulation in a Numerical Combustion Laboratoryy many orders of magnitude larger than the heat-release zone size. To get an accurate rendering of the device, one needs to accurately model the physics that occurs on all these scales. We discuss three problems related to this issue. First, by direct numerical simulation we show how an asymptotic s

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Viscoelastic Fluid Flow: Critical Parameters and Asymptotics first examines the entrance layer structure that accounts for memory effects of a fluid with “small elasticity” as it moves through the inlet into a channel; the second examines secondary flows and stability of the flow of a viscoelastic fluid in a cone-plate apparatus of small angle.

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Supersensitive Boundary Value Problems shock layer. An expansion procedure utilizing exponentially small terms shows that a variety of asymptotically exponentially small perturbations can change the shock location by order one when the diffusion coefficient tends to zero. Such . is expected for solutions to far more general boundary val