Asymptotic Approximations for Chemical Reactive Flows in Thick Fractal Junctions

T. A. Mel’nyk ()
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T. A. Mel’nyk: Taras Shevchenko National University of Kyiv

Chapter Chapter 33 in Integral Methods in Science and Engineering, 2015, pp 387-399 from Springer

Abstract: Abstract The asymptotic analysis of a reaction-diffusion system with nonlinear boundary conditions in a thick fractal junctions is presented. In particular, the corresponding homogenized problem is found, the existence and uniqueness of its solution in an anisotropic Sobolev space of multi-sheeted functions is proved, and the approximation for the solution is constructed and justified.

Keywords: Asymptotic Approximation; Homogenization; Semi-linear Parabolic problem; Fractal structure (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-16727-5_33

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DOI: 10.1007/978-3-319-16727-5_33

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