Stochastic homogenization of heat transfer in polycrystals with nonlinear contact conductivities

DOI10.1080/00036811.2011.567191zbMath1252.35035OpenAlexW2063155598WikidataQ58288596 ScholiaQ58288596MaRDI QIDQ2909363

Martin Heida

Publication date: 30 August 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.567191

zbMATH Keywords

transmission problemtwo-scale convergencePoisson-Voronoi tessellations

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization for problems in thermodynamics and heat transfer (80M40) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (7)

Stochastic homogenization of rate-independent systems and applications ⋮ Heat transfer models for two-component media with interfacial jump ⋮ Homogenization of biomechanical models of plant tissues with randomly distributed cells ⋮ Stochastic homogenization of \(\Lambda\)-convex gradient flows ⋮ Stochastic homogenization of the Keller-Segel chemotaxis system ⋮ Fractal Homogenization of Multiscale Interface Problems ⋮ Numerical homogenization of fractal interface problems

Cites Work

• Compact sets in the space \(L^ p(0,T;B)\)
• Macroscopic modelling of heat transfer in composites with interfacial thermal barrier
• Homogenization for heat transfer in polycrystals with interfacial resistances
• Corrector results for a parabolic problem with a memory effect
• Heat Conduction in Fine Scale Mixtures With Interfacial Contact Resistance
• HOMOGENIZATION OF TWO HEAT CONDUCTORS WITH AN INTERFACIAL CONTACT RESISTANCE
• Lineare Funktionalanalysis
• Unnamed Item

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