Concepedia

Duhamel's Theorem

Duhamel's Theorem is a mathematical method in transient heat transfer that, by superposing the effects of time-varying boundary conditions through convolution of the system's impulse response with the history of the driving input, enables the solution of nonhomogeneous heat conduction problems under arbitrary temporal variations.

67

Publications

2.6K

Citations

137

Authors

82

Institutions

Publications per year

2017–2026

9

Variants

Duhamel's Principle

Parents

Publications

67

Handbook of linear partial differential equations for engineers and scientists

Choice Reviews Online · 2002 · 712 citations

, , +17

Ill-Posedness Issues for the Benjamin--Ono and Related Equations

Luc Molinet, Jean‐Claude Saut, Nikolay Tzvetkov · SIAM Journal on Mathematical Analysis · 2001 · 237 citations

, , +14

Three-Dimensional Discrete Ordinates Method in Transient Radiative Transfer

Zhixiong Guo, Sunil Kumar · Journal of Thermophysics and Heat Transfer · 2002 · 110 citations

, , +17

Global solutions of the gravity-capillary water-wave system in three dimensions

Yu Deng, Alexandru D. Ionescu, Benoît Pausader et al. · Acta Mathematica · 2017 · 88 citations · Full text

, , +14

Transient Behavior of a Rock-Bed Thermal Storage System Subjected to Variable Inlet Air Temperatures: Analysis and Experimentation

Avraham Shitzer, Moshe Levy · Journal of Solar Energy Engineering · 1983 · 64 citations

, , +17

1–5 of 67

Authors

137

  1. MA
    Mohammad Ali Abdous

    Iran University of Science and Technology, Iran

    3 publications · 37 citations

    3

    h-index

  2. MT
    M. T. Karaev

    Süleyman Demirel University, Türkiye

    3 publications · 47 citations

    3

    h-index

  3. SU
    Sabir Umarov

    Tufts University, United States

    3 publications · 76 citations

    3

    h-index

  4. JZ
    Jonathan Ziveyi

    UNSW Sydney, Australia

    2 publications · 23 citations

    2

    h-index

  5. JV
    James V. Beck

    Michigan State University, United States

    2 publications · 41 citations

    2

    h-index

1–5 of 137

Institutions

82

  1. Iran University of Science and Technology

    Tehran, Iran

    3 h-index

    8 publications

    114 citations

  2. Princeton University

    Princeton, United States

    3 h-index

    7 publications

    319 citations

  3. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation

    Chengdu, China

    2 h-index

    5 publications

    157 citations

  4. Louisiana State University

    Baton Rouge, United States

    2 h-index

    4 publications

    46 citations

  5. Michigan State University

    East Lansing, United States

    2 h-index

    2 publications

    41 citations

  6. Süleyman Demirel University

    Isparta, Türkiye

    2 h-index

    3 publications

    45 citations

  7. Technische Universität Braunschweig

    Braunschweig, Germany

    2 h-index

    2 publications

    41 citations

  8. Sharif University of Technology

    Tehran, Iran

    2 h-index

    6 publications

    247 citations

1–8 of 82

Venues

  1. Journal of Heat Transfer

    4 publications · 71 citations

    4

    h-index

  2. arXiv (Cornell University)

    Repository · 2 publications · 38 citations

    2

    h-index

  3. Computational Mechanics

    2 publications · 41 citations

    2

    h-index

  4. Journal of Differential Equations

    2 publications · 57 citations

    2

    h-index

  5. Nonlinear Analysis

    2 publications · 61 citations

    2

    h-index

1–5