Concepedia

Nonlinear Boltzmann Equation

The Nonlinear Boltzmann Equation is a kinetic equation that describes the evolution of a particle distribution function in a many-body system where the collision integral exhibits nonlinear dependence on the distribution itself, distinguishing it from linearized or mean-field approximations in transport theory.

401

Publications

19.6K

Citations

637

Authors

374

Institutions

Publications per year

2017–2026

42

Parents

Publications

401

A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS

H. P. McKean · Proceedings of the National Academy of Sciences · 1966 · 864 citations · Full text

, , +11

Methods of modern mathematical physics. III. Scattering theory

Michael C. Reed, Barry Simon · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 1979 · 787 citations

, , +17

Calculating total electrostatic energies with the nonlinear Poisson-Boltzmann equation

Kim A. Sharp, Barry Honig · The Journal of Physical Chemistry · 1990 · 563 citations

, , +17

On the Solution of the Poisson-Boltzmann Equation with Application to the Theory of Thermal Explosions

P.L. Chambré · The Journal of Chemical Physics · 1952 · 291 citations

, , +12

The fluid dynamic limit of the nonlinear boltzmann equation

Russel E. Caflisch · Communications on Pure and Applied Mathematics · 1980 · 290 citations

, , +13

1–5 of 401

Authors

637

  1. AS
    Andrés Santos

    Universidad de Extremadura, Spain

    11 publications · 370 citations

    11

    h-index

  2. BS
    Baochang Shi

    Huazhong University of Science and Technology, China

    9 publications · 500 citations

    9

    h-index

  3. GT
    Giuseppe Toscani

    University of Pavia, Italy

    9 publications · 594 citations

    9

    h-index

  4. SU
    Seiji Ukai

    City University of Hong Kong, Hong Kong SAR China

    8 publications · 574 citations

    8

    h-index

  5. SJ
    Shi Jin

    University of Wisconsin–Madison, United States

    7 publications · 324 citations

    7

    h-index

1–5 of 637

Institutions

374

  1. Kyoto University

    Kyoto, Japan

    13 h-index

    16 publications

    1.2K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    12 h-index

    19 publications

    694 citations

  3. University of Pavia

    Pavia, Italy

    11 h-index

    14 publications

    712 citations

  4. Huazhong University of Science and Technology

    Wuhan, China

    11 h-index

    31 publications

    1.5K citations

  5. University of Florida

    Gainesville, United States

    9 h-index

    18 publications

    820 citations

  6. Universidad de Extremadura

    Badajoz, Spain

    8 h-index

    15 publications

    275 citations

  7. Utrecht University

    Utrecht, The Netherlands

    8 h-index

    11 publications

    542 citations

  8. Shanghai Jiao Tong University

    Shanghai, China

    7 h-index

    9 publications

    288 citations

1–8 of 374

Venues

  1. Physical Review Letters

    PRL · 14 publications · 1.2K citations

    14

    h-index

  2. Physical Review E

    PRE · 14 publications · 714 citations

    13

    h-index

  3. Journal of Statistical Physics

    13 publications · 477 citations

    13

    h-index

  4. The Physics of Fluids

    12 publications · 438 citations

    12

    h-index

  5. 11

    h-index

1–5