Search Results - "Homogenization applied to problems in fluid mechanics"

Homogenization of Nonlinear Blood Flow in Periodic Networks: The Limit of Small Haematocrit Heterogeneity: Homogenization of nonlinear blood flow in periodic networks: the limit of small haematocrit heterogeneity

Authors: Yaron Ben-Ami Brian D. Wood Joe M. Pitt-Francis et al.

Source: Multiscale Modeling & Simulation. 22:1498-1533

Subject Terms: multiple scale method, Flows in porous media, filtration, seepage, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, pressure gradient, Quantitative Biology - Tissues and Organs, Darcy mode, Condensed Matter - Soft Condensed Matter, Physiological flows, Homogenization in context of PDEs, PDEs in media with periodic structure, effective permeability tensor, microcirculatory two-phase blood flow, Homogenization applied to problems in fluid mechanics, Physics - Biological Physics, 76Z05, 35B27, 76M50, 34B45, 92-08

File Description: application/xml

Access URL: http://arxiv.org/abs/2401.10932

An ergodic theorem with weights and applications to random measures, homogenization and hydrodynamics

Authors: Alessandra Faggionato

Source: Stochastic Processes and their Applications. 180:104522

Subject Terms: Dynamical systems and their relations with probability theory and stochastic processes, Ergodic theorems, spectral theory, Markov operators, quenched hydrodynamic limit, Homogenization applied to problems in fluid mechanics, stochastic homogenization, Dynamical aspects of measure-preserving transformations, Stochastic analysis applied to problems in fluid mechanics, multidimensional ergodic theorem, Processes in random environments, Point processes (e.g., Poisson, Cox, Hawkes processes), ergodic theorems, random measures, stochastic homogenization

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Access URL: https://zbmath.org/7962236
https://doi.org/10.1016/j.spa.2024.104522
https://hdl.handle.net/11573/1746255

Estimating inequalities for velocities of wave propagation and for effective densities in fluid mixtures: Estimating inequalities for velocities of propagation and for effective densities in fluid mixtures

Authors: L. A. Molotkov

Source: Journal of Mathematical Sciences. 138:5584-5589

Subject Terms: Homogenization applied to problems in fluid mechanics, 0103 physical sciences, Multiphase and multicomponent flows, 01 natural sciences, Waves for incompressible viscous fluids, 0105 earth and related environmental sciences

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Access URL: https://zbmath.org/2214044
https://link.springer.com/content/pdf/10.1007/s10958-006-0326-0.pdf
https://link.springer.com/article/10.1007/s10958-006-0326-0

Numerical methods for multiscale transport equations and application to two-phase porous media flow

Authors: Weinan E Xingye Yue

Source: Journal of Computational Physics. 210:656-675

Subject Terms: penalty method, Homogenization applied to problems in fluid mechanics, Liquid-gas two-phase flows, bubbly flows, Flows in porous media, filtration, seepage, homogenization, 0101 mathematics, 01 natural sciences

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Access URL: https://www.sciencedirect.com/science/article/pii/S0021999105002561
https://ui.adsabs.harvard.edu/abs/2005JCoPh.210..656Y/abstract
https://collaborate.princeton.edu/en/publications/numerical-methods-for-multiscale-transport-equations-and-applicat

Two-scale homogenization of a hydrodynamic Elrod–Adams model: Two-scale homogenization of a hydrodynamic Elrod-Adams model

Authors: Bayada, Guy Martin, Sébastien Vazquez, C. et al.

Contributors: Bayada, Guy Martin, Sébastien Vazquez, C. et al.

Source: Asymptotic Analysis. 44:75-110

Subject Terms: Lubrication theory, Homogenization applied to problems in fluid mechanics, homogenization, lubrication problem, Homogenization in context of PDEs, PDEs in media with periodic structure, longitudinal and transverse roughness

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Access URL: https://hal.science/hal-00368433v1
https://zbmath.org/2230897

Periodic homogenization for inertial particles

Authors: Pavliotis, G. A. Stuart, A. M.

Source: Physica D: Nonlinear Phenomena. 204:161-187

Subject Terms: Effective diffusivity, Turbulent transport, mixing, Statistical Mechanics (cond-mat.stat-mech), large scale and long time behaviour, Transport processes in time-dependent statistical mechanics, effective diffusivity, hypoellipticity, FOS: Physical sciences, Periodic homogenization, Homogenization in context of PDEs, PDEs in media with periodic structure, inertial particle, 01 natural sciences, multiple scale expansion, Inertial particles, Homogenization applied to problems in fluid mechanics, Hypoellipticity, 0103 physical sciences, Stochastic analysis applied to problems in fluid mechanics, Numerical methods of time-dependent statistical mechanics, periodic homogenization, Condensed Matter - Statistical Mechanics

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Access URL: https://authors.library.caltech.edu/78068/2/0504405.pdf
http://arxiv.org/abs/cond-mat/0504405
https://zbmath.org/2193295
https://doi.org/10.1016/j.physd.2005.04.011
https://arxiv.org/abs/cond-mat/0504405
https://homepages.warwick.ac.uk/~masdr/JOURNALPUBS/stuart64.pdf
http://www2.imperial.ac.uk/~pavl/PavStu05.pdf
http://ui.adsabs.harvard.edu/abs/2005PhyD..204..161P/abstract
http://wwwf.imperial.ac.uk/~pavl/PavStu05.pdf
https://www.sciencedirect.com/science/article/pii/S0167278905001387

On an asymptotic expansion for Carreau fluids in porous media

Authors: Thomas Götz Hanna Arini Parhusip

Source: Journal of Engineering Mathematics. 51:351-365

Subject Terms: Homogenization applied to problems in fluid mechanics, Flows in porous media, filtration, seepage, Non-Newtonian fluids, finite element method, homogenization, two-scale expansion, 0101 mathematics, 01 natural sciences, Finite element methods applied to problems in fluid mechanics

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Access URL: http://ui.adsabs.harvard.edu/abs/2005JEnMa..51..351G/abstract
https://link.springer.com/content/pdf/10.1007/s10665-004-7468-1.pdf
https://link.springer.com/article/10.1007/s10665-004-7468-1

Geometric two-scale convergence on forms and its applications to Maxwell's equations

Authors: Hee Chul Pak

Source: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 135:133-147

Subject Terms: random variables, initial and boundary conditions, Homogenization applied to problems in fluid mechanics, Hyperbolic equations on manifolds, non-flat domain, Homogenization in equilibrium problems of solid mechanics, PDEs with randomness, stochastic partial differential equations, 0101 mathematics, Homogenization in context of PDEs, PDEs in media with periodic structure, PDEs in connection with optics and electromagnetic theory, compact oriented Riemannian manifold with smooth boundary, 01 natural sciences

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Access URL: https://zbmath.org/2144285
https://doi.org/10.1017/s0308210500003802
https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/geometric-twoscale-convergence-on-forms-and-its-applications-to-maxwells-equations/3337CFAACB287EF8F8260FB09DEDB382

Self-Consistent Effective Equations Modeling Blood Flow in Medium-to-Large Compliant Arteries: Self-consistent effective equations modeling blood flow in medium-to-large compliant arteries

Authors: Andro Mikelić Daniele Lamponi Sunčica Čanić et al.

Source: Multiscale Modeling & Simulation. 3:559-596

Subject Terms: Physiological flow, fluid-structure interaction, incompressible Newton fluid, linear elastic membrane, effective model, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, Applications of PDE in areas other than physics, PDEs in connection with fluid mechanics, Physiological flows, Biot flow with memory, Other free boundary flows, Hele-Shaw flows, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Homogenization applied to problems in fluid mechanics, blood flow, Navier-Stokes equations, 0101 mathematics

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Access URL: http://math.uh.edu/~canic/papers/hemodynamics/reducedNS.pdf
https://www.bib.irb.hr/177702
https://zbmath.org/2212483
https://doi.org/10.1137/030602605
https://www.bib.irb.hr/177702
https://core.ac.uk/display/20986132
https://infoscience.epfl.ch/record/125835
https://epubs.siam.org/doi/10.1137/030602605
https://dblp.uni-trier.de/db/journals/mmas/mmas3.html#CanicLMT05

Convergence of the Generalized Volume Averaging Method on a Convection-Diffusion Problem: A Spectral Perspective: Convergence of the generalized volume averaging method on a convection-diffusion problem: A spectral perspective

Authors: Pierre, Charles Plouraboué, Franck Quintard, Michel et al.

Contributors: Pierre, Charles Plouraboué, Franck Quintard, Michel et al.

Source: SIAM Journal on Applied Mathematics. 66:122-152

Subject Terms: Spectral methods applied to problems in fluid mechanics, homogenization, Physique mathématique, convection-diffusion, 01 natural sciences, volume averaging, spectral methods, 0103 physical sciences, 0101 mathematics, Convection-diffusion, convection, Homogenization in optics and electromagnetic theory, diffusion, Hilbert space, spectral theory, Volume averaging, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Picard's successive approximation method, Variational formulation, Sturm--Liouville, Homogenization applied to problems in fluid mechanics, Mixed formulation, Sturm-Liouville, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

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Access URL: https://hal.archives-ouvertes.fr/hal-00158286/file/SIAM_05_recomp.pdf
https://hal.science/hal-00158286v1
https://zbmath.org/2220475
https://doi.org/10.1137/040610015
https://dblp.uni-trier.de/db/journals/siamam/siamam66.html#PierrePQ05
https://www.jstor.org/stable/4096162
https://locus.siam.org/doi/abs/10.1137/040610015
https://oatao.univ-toulouse.fr/5482/4/plouraboue_5482.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1331759
https://oatao.univ-toulouse.fr/5482/
https://oatao.univ-toulouse.fr/5482/

A Homogenized Model of an Underground Waste Repository Including a Disturbed Zone: A homogenized model of an underground waste repository including a disturbed zone

Authors: Alain Bourgeat Eduard Marušić-Paloka

Source: Multiscale Modeling & Simulation. 3:918-939

Subject Terms: homogenization, singular measures, underground waste repository, convection-diffusion-reaction equation, Hydrology, hydrography, oceanography, Flows in porous media, filtration, seepage, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences, repository module, Reaction-diffusion equations, Homogenization applied to problems in fluid mechanics, Initial-boundary value problems for second-order parabolic equations, 0101 mathematics

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Access URL: https://www.bib.irb.hr/205973
https://doi.org/10.1137/040605424
https://epubs.siam.org/doi/10.1137/040605424
https://doi.org/10.1137/040605424

Homogenization of a Ginzburg–Landau model for a nematic liquid crystal with inclusions: Homogenization of a Ginzburg-Landau model for a nematic liquid crystal with inclusions

Authors: Cioranescu, Doina Berlyand, Leonid Golovaty, Dmitry et al.

Contributors: Cioranescu, Doina Berlyand, Leonid Golovaty, Dmitry et al.

Source: Journal de Mathématiques Pures et Appliquées. 84:97-136

Subject Terms: homogenization in fluid mechanics, Variational methods for second-order elliptic equations, Mathematics(all), Liquid crystals, Method of mesocharacteristics, Applied Mathematics, homogenization, variational methods, Ginzburg–Landau models, Homogenization in context of PDEs, PDEs in media with periodic structure, Homogenization applied to problems in fluid mechanics, crystals, Homogenization in perforated media, Statistical mechanics of crystals

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Access URL: https://hal.science/hal-00112071v1
https://www.sciencedirect.com/science/article/abs/pii/S002178240400114X#!
https://pennstate.pure.elsevier.com/en/publications/homogenization-of-a-ginzburg-landau-model-for-a-nematic-liquid-cr
https://www.sciencedirect.com/science/article/pii/S002178240400114X

Homogenization of Transport Equations: Weak Mean Field Approximation: Homogenization of transport equations: weak mean field approximation

Authors: Goudon, Thierry Poupaud, Frédéric Hemeidan, Valérie

Contributors: Goudon, Thierry Poupaud, Frédéric Hemeidan, Valérie

Source: SIAM Journal on Mathematical Analysis. 36:856-881

Subject Terms: Homogenization applied to problems in fluid mechanics, advection-diffusion equation, entropy dissipation, effective equations, 0101 mathematics, Homogenization in context of PDEs, PDEs in media with periodic structure, Effective constitutive equations in solid mechanics, 01 natural sciences

File Description: application/xml

Access URL: https://hal.archives-ouvertes.fr/hal-00018816
https://locus.siam.org/doi/abs/10.1137/S0036141003415032
https://dblp.uni-trier.de/db/journals/siamma/siamma36.html#GoudonP05
https://epubs.siam.org/doi/10.1137/S0036141003415032
https://doi.org/10.1137/S0036141003415032
https://hal.science/hal-00018816v1

Laws for the Capillary Pressure in a Deterministic Model for Fronts in Porous Media: Laws for the capillary pressure in a deterministic model for fronts in porous media

Authors: Schweizer, Ben

Source: SIAM Journal on Mathematical Analysis. 36:1489-1521

Subject Terms: two-phase flow, Homogenization applied to problems in fluid mechanics, front dynamics, Flows in porous media, filtration, seepage, homogenization, 0101 mathematics, microlocal pattern, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences, hysteresis effect

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Access URL: https://eldorado.tu-dortmund.de/bitstream/2003/25097/1/LawsCapillaryPressure.pdf
https://eldorado.tu-dortmund.de/bitstream/2003/25097/1/LawsCapillaryPressure.pdf
https://epubs.siam.org/doi/10.1137/S0036141003423053
https://dblp.uni-trier.de/db/journals/siamma/siamma36.html#Schweizer05
http://hdl.handle.net/2003/25097

A new upscaling method for the solute transport equations

Authors: Zhiming Chen Huang Ye Weibing Deng

Source: Discrete & Continuous Dynamical Systems - A. 13:941-960

Subject Terms: Hydrology, hydrography, oceanography, asymptotic solutions, convergence, Homogenization applied to problems in fluid mechanics, Flows in porous media, filtration, seepage, 0103 physical sciences, Stochastic analysis applied to problems in fluid mechanics, homogenization, 0101 mathematics, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences, random log-normal relative permeability

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Access URL: https://zbmath.org/2234489
https://doi.org/10.3934/dcds.2005.13.941
https://aimsciences.org/article/doi/10.3934/dcds.2005.13.941

Diffusion Approximation and Homogenization of the Semiconductor Boltzmann Equation: Diffusion approximation and homogenization of the semiconductor Boltzmann equation

Authors: Naoufel Ben Abdallah Mohamed Lazhar Tayeb

Source: Multiscale Modeling & Simulation. 4:896-914

Subject Terms: drift-diffusion equation, Statistical mechanics of semiconductors, Rarefied gas flows, Boltzmann equation in fluid mechanics, Homogenization applied to problems in fluid mechanics, Nonlinear first-order PDEs, relative entropy, Ionized gas flow in electromagnetic fields, plasmic flow, two-scale convergence, 0101 mathematics, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences

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Access URL: https://dblp.uni-trier.de/db/journals/mmas/mmas4.html#AbdallahT05
https://locus.siam.org/doi/abs/10.1137/040611227
https://epubs.siam.org/doi/abs/10.1137/040611227

Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media

Authors: Lihe Wang Luis A. Caffarelli Panagiotis E. Souganidis

Source: Communications on Pure and Applied Mathematics. 58:319-361

Subject Terms: Dynamical systems and their relations with probability theory and stochastic processes, Homogenization applied to problems in fluid mechanics, obstacle problem, Asymptotic behavior of solutions to PDEs, Random operators and equations (aspects of stochastic analysis), homogenization in random media, 0101 mathematics, Homogenization in context of PDEs, PDEs in media with periodic structure, Random linear operators, 01 natural sciences

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Access URL: https://zbmath.org/2136358
https://doi.org/10.1002/cpa.20069
https://onlinelibrary.wiley.com/doi/10.1002/cpa.20069

A note on permeability for a network of thin channels

Authors: Marušić, Sanja

Source: Glasnik matematički
CODEN GLMAB2
Volume 39
Issue 2

Subject Terms: Periodic porous media, periodic porous media, commuting limits, Homogenization applied to problems in fluid mechanics, Flows in porous media, filtration, seepage, Darcy law, network of thin channels, two-scale homogenization, 0101 mathematics, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences

File Description: application/xml; application/pdf

Access URL: http://hrcak.srce.hr/file/2204
https://www.bib.irb.hr/206203
https://zbmath.org/2149646
https://doi.org/10.3336/gm.39.2.16
https://hrcak.srce.hr/file/2204
http://core.ac.uk/display/14375920
https://hrcak.srce.hr/1257
https://hrcak.srce.hr/file/2204
https://hrcak.srce.hr/1257

Homogenization of the anisotropic heterogeneous linearized elasticity system in thin reticulated structures

Authors: Manuel Luna-Laynez Juan Casado-Díaz

Source: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 134:1041-1083

Subject Terms: Boundary value problems for second-order elliptic equations, Homogenization applied to problems in fluid mechanics, thin reticulated structures, homogenization, Homogenization in equilibrium problems of solid mechanics, heterogeneous, 0101 mathematics, union of orthogonal beams, Arbogast-Douglas-Hornung(ADH) method, Homogenization in context of PDEs, PDEs in media with periodic structure, anisotropic, 01 natural sciences, elasticity system

File Description: application/xml

Access URL: https://zbmath.org/2141289
https://doi.org/10.1017/s0308210500003620
http://www.journals.cambridge.org/abstract_S0308210500003620

Universality and imaginary potentials in advection–diffusion equations in closed flows: Universality and imaginary potentials in advection-diffusion equations in closed flow

Authors: GIONA, Massimiliano CERBELLI, Stefano V. Vitacolonna

Source: Journal of Fluid Mechanics. 513:221-237

Subject Terms: Diffusion, Homogenization applied to problems in fluid mechanics, closed flow, universality, imaginary, 0103 physical sciences, 02 engineering and technology, 0210 nano-technology, 01 natural sciences

File Description: application/xml

Access URL: http://www.journals.cambridge.org/abstract_S002211200400984X
http://ui.adsabs.harvard.edu/abs/2004JFM...513..221G/abstract