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Applicable Analysis
An International Journal
Volume 75, 2000 - Issue 3-4
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Original Articles

Homogenization for heat transfer in polycrystals with interfacial resistances

Pages 403-424 | Received 01 Jan 2000, Published online: 02 May 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (7)

Jemmalyn Grace H. Santiago & Bituin C. Cabarrubias. (2023) Homogenization of a quasilinear problem with semilinear terms in a two-component domain. Applicable Analysis 102:14, pages 3886-3908.
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V. A. Kovtunenko & A. V. Zubkova. (2021) Homogenization of the generalized Poisson–Nernst–Planck problem in a two-phase medium: correctors and estimates. Applicable Analysis 100:2, pages 253-274.
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Isabelle Gruais, Dan Poliševski & Alina Ştefan. (2020) Two-temperature homogenized eigenfunctions of conduction through domains with jump interfaces. Applicable Analysis 99:13, pages 2361-2370.
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I. Gruais & D. Poliševski. (2017) Heat transfer models for two-component media with interfacial jump. Applicable Analysis 96:2, pages 247-260.
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Klemens Fellner & Victor A. Kovtunenko. (2016) A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate. Applicable Analysis 95:12, pages 2661-2682.
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Julia Orlik. (2012) Two-scale homogenization in transmission problems of elasticity with interface jumps. Applicable Analysis 91:7, pages 1299-1319.
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Articles from other publishers (38)

S. Monsurrò, A. K. Nandakumaran & C. Perugia. (2021) A note on the exact boundary controllability for an imperfect transmission problem. Ricerche di Matematica 73:1, pages 547-564.
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Jake Avila & Bituin Cabarrubias. (2023) Periodic unfolding method for domains with very small inclusions. Electronic Journal of Differential Equations 2023:01-??, pages 85.
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Hongru Ma & Yanbin Tang. (2023) Homogenization of a semilinear elliptic problem in a thin composite domain with an imperfect interface. Mathematical Methods in the Applied Sciences 46:18, pages 19329-19350.
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Federica Raimondi. (2023) Homogenization of a class of singular elliptic problems in two-component domains. Asymptotic Analysis 132:1-2, pages 1-27.
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Sara Monsurrò. Recent results on the exact controllability of problems with imperfect interface. Recent results on the exact controllability of problems with imperfect interface.
Patrizia Donato & Klas Pettersson. (2022) Homogenization of a 2D two-component domain with an oscillating thick interface. Mathematics and Mechanics of Complex Systems 10:2, pages 103-154.
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S. Monsurrò, A. K. Nandakumaran & C. Perugia. (2022) Exact Internal Controllability for a Problem with Imperfect Interface. Applied Mathematics & Optimization 85:3.
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Marcin Kamiński & Piotr Ostrowski. (2021) Homogenization of heat transfer in fibrous composite with stochastic interface defects. Composite Structures 261, pages 113555.
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Patrizia Donato, Eleanor Gemida & Editha C. Jose. 2021. Emerging Problems in the Homogenization of Partial Differential Equations. Emerging Problems in the Homogenization of Partial Differential Equations 85 114 .
M. Amar & G. Riey. (2020) Homogenization of singular elliptic systems with nonlinear conditions on the interfaces. Journal of Elliptic and Parabolic Equations 6:2, pages 633-654.
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Patrizia Donato & Rheadel Fulgencio. (2020) Some properties of an elliptic periodic problem with an interfacial resistance. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 100:12.
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Micol Amar, Ida De Bonis & Giuseppe Riey. (2019) Homogenization of elliptic problems involving interfaces and singular data. Nonlinear Analysis 189, pages 111562.
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Ivy Carol B. Lomerio & Editha C. Jose. (2017) Asymptotic Analysis of a Certain Class of Semilinear Parabolic Problem with Interfacial Contact Resistance. Bulletin of the Malaysian Mathematical Sciences Society 42:3, pages 1011-1054.
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Patrizia Donato, Editha C. Jose & Daniel Onofrei. (2018) Asymptotic analysis of a multiscale parabolic problem with a rough fast oscillating interface. Archive of Applied Mechanics 89:3, pages 437-465.
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Luisa Faella, Sara Monsurrò & Carmen Perugia. (2019) Exact controllability for evolutionary imperfect transmission problems. Journal de Mathématiques Pures et Appliquées 122, pages 235-271.
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Martin Heida. (2018) Convergences of the squareroot approximation scheme to the Fokker–Planck operator. Mathematical Models and Methods in Applied Sciences 28:13, pages 2599-2635.
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Raffaela Capitanelli & Cristina Pocci. (2018) Periodic homogenization for quasi-filling fractal layers. Communications in Contemporary Mathematics 20:08, pages 1750088.
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Micol Amar & Roberto Gianni. (2018) Error estimate for a homogenization problem involving the Laplace–Beltrami operator. Mathematics and Mechanics of Complex Systems 6:1, pages 41-59.
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Raffaela Capitanelli & Cristina Pocci. (2017) On the effective interfacial resistance through quasi-filling fractal layers. Chaos, Solitons & Fractals 105, pages 43-50.
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Sina Reichelt. (2017) Corrector estimates for a class of imperfect transmission problems. Asymptotic Analysis 105:1-2, pages 3-26.
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Martin Heida. (2017) Stochastic homogenization of rate-independent systems and applications. Continuum Mechanics and Thermodynamics 29:3, pages 853-894.
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Claudia Timofte. (2017) Homogenization results for the calcium dynamics in living cells. Mathematics and Computers in Simulation 133, pages 165-174.
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Luisa Faella & Carmen Perugia. (2017) Optimal control for a hyperbolic problem in composites with imperfect interface: A memory effect. Evolution Equations & Control Theory 6:2, pages 187-217.
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Renata Bunoiu & Claudia Timofte. (2016) Homogenization of a thermal problem with flux jump. Networks and Heterogeneous Media 11:4, pages 545-562.
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Micol Amar, Daniele Andreucci & Roberto Gianni. (2016) Asymptotic decay under nonlinear and noncoercive dissipative effects for electrical conduction in biological tissues. Nonlinear Differential Equations and Applications NoDEA 23:4.
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Patrizia Donato & Daniela Giachetti. (2016) Existence and Homogenization for a Singular Problem Through Rough Surfaces. SIAM Journal on Mathematical Analysis 48:6, pages 4047-4086.
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Julia Orlik, Grigory Panasenko & Vladimir Shiryaev. (2016) Optimization of Textile-Like Materials via Homogenization and Beam Approximations. Multiscale Modeling & Simulation 14:2, pages 637-667.
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M. Amar, D. Andreucci & R. Gianni. (2016) Exponential decay for a nonlinear model for electrical conduction in biological tissues. Nonlinear Analysis 131, pages 206-228.
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Luisa Faella & Carmen Perugia. (2015) Optimal control for evolutionary imperfect transmission problems. Boundary Value Problems 2015:1.
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Patrizia Donato & Kim Hang Le Nguyen. (2015) Homogenization of diffusion problems with a nonlinear interfacial resistance. Nonlinear Differential Equations and Applications NoDEA 22:5, pages 1345-1380.
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Sebastian Fillep, Julia Orlik, Zoufine Bare & Paul Steinmann. (2013) Homogenization in periodically heterogeneous elastic bodies with multiple micro-contact. Mathematics and Mechanics of Solids 19:8, pages 1011-1021.
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P. Donato, K. H. Le Nguyen & R. Tardieu. (2011) The periodic unfolding method for a class of imperfect transmission problems. Journal of Mathematical Sciences 176:6, pages 891-927.
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Patrizia Donato & Editha C. Jose. (2010) Corrector results for a parabolic problem with a memory effect. ESAIM: Mathematical Modelling and Numerical Analysis 44:3, pages 421-454.
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M. AMAR, D. ANDREUCCI, P. BISEGNA & R. GIANNI. (2009) Exponential asymptotic stability for an elliptic equation with memory arising in electrical conduction in biological tissues. European Journal of Applied Mathematics 20:5, pages 431-459.
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Micol Amar, Daniele Andreucci, Paolo Bisegna & Roberto Gianni. (2009) Stability and memory effects in a homogenized model governing the electrical conduction in biological tissues. Journal of Mechanics of Materials and Structures 4:2, pages 211-223.
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Patrizia Donato, Luisa Faella & Sara Monsurrò. (2009) Correctors for the Homogenization of a Class of Hyperbolic Equations with Imperfect Interfaces. SIAM Journal on Mathematical Analysis 40:5, pages 1952-1978.
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Patrizia Donato, Luisa Faella & Sara Monsurrò. (2007) Homogenization of the wave equation in composites with imperfect interface: A memory effect. Journal de Mathématiques Pures et Appliquées 87:2, pages 119-143.
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PATRIZIA DONATO & SARA MONSURRÒ. (2011) HOMOGENIZATION OF TWO HEAT CONDUCTORS WITH AN INTERFACIAL CONTACT RESISTANCE. Analysis and Applications 02:03, pages 247-273.
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