Concepedia

Averaging Theory

Averaging Theory is a mathematical framework within continuum mechanics and homogenization theory that systematically derives macroscopic constitutive laws by averaging microscopic field variables over Representative Volume Elements, thereby bridging scale-separated physical phenomena in heterogeneous media.

511

Publications

29.1K

Citations

971

Authors

515

Institutions

Publications per year

2017–2026

68

Parents

Publications

511

The Elastic and Thermo-elastic Properties of Composite Media

Edward H. Kerner · Proceedings of the Physical Society Section B · 1956 · 1.8K citations

, , +17

Mathematical Modeling of Two-Phase Flow

Donald A. Drew · Annual Review of Fluid Mechanics · 1983 · 1.4K citations

, , +13

Generalized averaging method for power conversion circuits

S.R. Sanders, J.M. Noworolski, X.Z. Liu et al. · IEEE Transactions on Power Electronics · 1991 · 1.2K citations

, , +12

Microstructure noise in the continuous case: The pre-averaging approach

Jean Jacod, Yingying Li, Per A. Mykland et al. · Stochastic Processes and their Applications · 2008 · 722 citations

, , +16

Local density fluctuations, hyperuniformity, and order metrics

Salvatore Torquato, Frank H. Stillinger · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2003 · 710 citations · Full text

, , +15

1–5 of 511

Authors

971

  1. WG
    William G. Gray

    University of North Carolina at Chapel Hill, United States

    6 publications · 668 citations

    6

    h-index

  2. JG
    Jaqueline G. Mesquita

    Universidade de São Paulo, Brazil

    5 publications · 155 citations

    5

    h-index

  3. CT
    Cass T. Miller

    University of North Carolina at Chapel Hill, United States

    4 publications · 187 citations

    4

    h-index

  4. JL
    Jaume Llibre

    Universitat Autònoma de Barcelona, Spain

    4 publications · 384 citations

    4

    h-index

  5. VH
    Victor H. Barocas

    University of Minnesota, United States

    3 publications · 380 citations

    3

    h-index

1–5 of 971

Institutions

515

  1. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    18 publications

    1.9K citations

  2. Massachusetts Institute of Technology

    Cambridge, United States

    8 h-index

    11 publications

    3.3K citations

  3. Princeton University

    Princeton, United States

    8 h-index

    12 publications

    2.6K citations

  4. Stanford University

    Stanford, United States

    7 h-index

    11 publications

    573 citations

  5. University of Minnesota

    Minneapolis, United States

    7 h-index

    14 publications

    1.1K citations

  6. University of Illinois Urbana-Champaign

    Urbana, United States

    7 h-index

    13 publications

    1.5K citations

  7. University of California, Berkeley

    Berkeley, United States

    6 h-index

    9 publications

    2.9K citations

  8. Cornell University

    Ithaca, United States

    6 h-index

    10 publications

    749 citations

1–8 of 515

Venues

  1. Journal of Differential Equations

    9 publications · 426 citations

    9

    h-index

  2. arXiv (Cornell University)

    Repository · 7 publications · 440 citations

    7

    h-index

  3. The Journal of Chemical Physics

    7 publications · 506 citations

    7

    h-index

  4. Physics of Fluids

    6 publications · 398 citations

    6

    h-index

  5. International Journal of Multiphase Flow

    5 publications · 780 citations

    5

    h-index

1–5