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Solving initial value problem by matching asymptotic expansions - MaRDI portal

Solving initial value problem by matching asymptotic expansions (Q2884635)

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scientific article; zbMATH DE number 6039320
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Solving initial value problem by matching asymptotic expansions
scientific article; zbMATH DE number 6039320

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    30 May 2012
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    asymptotic expansions
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    initial value problems
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    parabolic equations
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    Solving initial value problem by matching asymptotic expansions (English)
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    The author studies an initial value problem posed for an advection diffusion equation modeling orientation of pulp fibers in a steady fully turbulent flow. The problem is solved by matching two asymptotic expansions, one solving the initial value problem in a small neighborhood of the initial point, while another one solves the equation at large distances from the initial point.
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