Concepedia

Conservation Laws

Conservation Laws is a mathematical principle in the context of partial differential equations that expresses the fundamental physical requirement that a conserved quantity within a given domain changes at a rate equal to the net flux of that quantity across the domain's boundary, thereby modeling phenomena such as mass, momentum, and energy preservation in continuum systems.

5.3K

Publications

352.2K

Citations

6.9K

Authors

2.1K

Institutions

Publications per year

2017–2026

1.1K

Parents

Publications

5.3K

High resolution schemes for hyperbolic conservation laws

Ami Harten · Journal of Computational Physics · 1983 · 4.1K citations · Full text

, , +14

An integrable shallow water equation with peaked solitons

Roberto Camassa, Darryl D. Holm · Physical Review Letters · 1993 · 3.7K citations · Full text

, , +13

Symmetry Breaking through Bell-Jackiw Anomalies

Gerard ’t Hooft · Physical Review Letters · 1976 · 3.4K citations · Full text

, , +16

Constant pressure molecular dynamics for molecular systems

Shūichi Nosé, Michael L. Klein · Molecular Physics · 1983 · 3.3K citations

, , +15

A fast marching level set method for monotonically advancing fronts.

James A. Sethian · Proceedings of the National Academy of Sciences · 1996 · 3.2K citations

, , +16

1–5 of 5.3K

Authors

6.9K

  1. CS
    Chi‐Wang Shu

    Brown University, United States

    63 publications · 17.9K citations

    41

    h-index

  2. AB
    Anjan Biswas

    King Abdulaziz University, Saudi Arabia

    73 publications · 2.9K citations

    32

    h-index

  3. AH
    A. H. Kara

    University of the Witwatersrand, South Africa

    89 publications · 3.1K citations

    31

    h-index

  4. ET
    Eitan Tadmor

    University of Maryland, College Park, United States

    36 publications · 7.7K citations

    29

    h-index

  5. PG
    Philippe G. LeFloch

    Centre National de la Recherche Scientifique, France

    42 publications · 2.1K citations

    28

    h-index

1–5 of 6.9K

Institutions

2.1K

  1. Centre National de la Recherche Scientifique

    Paris, France

    50 h-index

    284 publications

    18.2K citations

  2. Brown University

    Providence, United States

    39 h-index

    89 publications

    21.7K citations

  3. Princeton University

    Princeton, United States

    36 h-index

    88 publications

    13K citations

  4. University of the Witwatersrand

    Johannesburg, South Africa

    34 h-index

    129 publications

    5K citations

  5. University of California, Los Angeles

    Los Angeles, United States

    34 h-index

    63 publications

    6.9K citations

  6. Courant Institute of Mathematical Sciences

    New York, United States

    33 h-index

    71 publications

    13.6K citations

  7. Stanford University

    Stanford, United States

    32 h-index

    87 publications

    7.8K citations

  8. New York University

    New York, United States

    31 h-index

    62 publications

    18.4K citations

1–8 of 2.1K

Venues

  1. Journal of Computational Physics

    203 publications · 31.4K citations

    71

    h-index

  2. Physical Review Letters

    PRL · 109 publications · 27.3K citations

    58

    h-index

  3. SIAM Journal on Numerical Analysis

    127 publications · 13.3K citations

    57

    h-index

  4. Mathematics of Computation

    MCOM · 96 publications · 14.4K citations

    46

    h-index

  5. Journal of Mathematical Physics

    150 publications · 12.1K citations

    46

    h-index

1–5