Asymptotic Approximations for Chemical Reactive Flows in Thick Fractal Junctions

DOI10.1007/978-3-319-16727-5_33zbMath1337.80012OpenAlexW2404043395MaRDI QIDQ2799415

Taras A. Mel'nyk

Publication date: 11 April 2016

Published in: Integral Methods in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-16727-5_33

zbMATH Keywords

homogenizationasymptotic approximationfractal structuresemi-linear parabolic problem

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Chemically reacting flows (80A32) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35) Semilinear parabolic equations (35K58)

Cites Work

• Semilinear parabolic problems in thin domains with a highly oscillatory boundary
• Elliptic problems in domains with piecewise smooth boundaries
• Homogenization of the Poisson equation in a thick periodic junction
• Spatial-skin effect for eigenvibrations of a thick cascade junction with ‘heavy’ concentrated masses
• Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1
• Boundary-value problems for partial differential equations in non-smooth domains
• Homogenization of a boundary-value problem with a nonlinear boundary condition in a thick junction of type 3:2:1
• Boundary Homogenization and Reduction of Dimension in a Kirchhoff–Love Plate
• The effect of domain squeezing upon the dynamics of reaction-diffusion equations
• Unnamed Item

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