Concepedia

Two-dimensional Continuity Equation

The Two-Dimensional Continuity Equation is a partial differential equation in fluid dynamics that expresses the principle of mass conservation for incompressible flows confined to a plane, distinguishing it from its three-dimensional counterpart by restricting spatial variation to two orthogonal directions.

48

Publications

2.5K

Citations

115

Authors

69

Institutions

Publications per year

2017–2026

5

Parents

Publications

48

Statistical mechanics of two-dimensional and geophysical flows

Freddy Bouchet · 2011 · 276 citations

, , +14

Mesoscale and Convective-Scale Characteristics of Mature Hurricanes. Part II. Inner Core Structure of Hurricane Allen (1980)

David P. Jorgensen · Journal of the Atmospheric Sciences · 1984 · 163 citations

, , +17

Notes on a differential equation which occurs in the two-dimensional motion of a compressible fluid and the associated variational problems

H. Bateman · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · 1929 · 137 citations · Full text

, , +16

Intraventricular Flow Velocity Vector Visualization Based on the Continuity Equation and Measurements of Vorticity and Wall Shear Stress

Keiichi Itatani, Takashi Okada, Tokuhisa Uejima et al. · Japanese Journal of Applied Physics · 2013 · 135 citations

, , +17

Two-Dimensional Riemann Problem for a Hyperbolic System of Nonlinear Conservation Laws

D.C. Tan, Ting Zhang · Journal of Differential Equations · 1994 · 131 citations

, , +16

1–5 of 48

Authors

115

  1. TW
    Takayuki Watanabe

    Tokyo Institute of Technology, Japan

    3 publications · 46 citations

    3

    h-index

  2. YZ
    Yijun Zhang

    Nanjing University of Science and Technology, China

    2 publications · 23 citations

    2

    h-index

  3. SB
    Stefano Bianchini

    Scuola Internazionale Superiore di Studi Avanzati, Italy

    2 publications · 93 citations

    2

    h-index

  4. TH
    Takuya Honda

    Tokyo Institute of Technology, Japan

    2 publications · 27 citations

    2

    h-index

  5. DT
    D.C. Tan

    Stony Brook University, United States

    2 publications · 197 citations

    2

    h-index

1–5 of 115

Institutions

69

  1. Tokyo Institute of Technology

    Tokyo, Japan

    3 h-index

    10 publications

    146 citations

  2. Chinese Academy of Sciences

    Beijing, China

    2 h-index

    2 publications

    42 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    5 publications

    154 citations

  4. Scuola Internazionale Superiore di Studi Avanzati

    Trieste, Italy

    2 h-index

    4 publications

    245 citations

  5. Politecnico di Milano

    Milan, Italy

    2 h-index

    4 publications

    86 citations

  6. Toshiba (Japan)

    Tokyo, Japan

    2 h-index

    4 publications

    52 citations

  7. Bangladesh University of Engineering and Technology

    Dhaka, Bangladesh

    1 h-index

    2 publications

    34 citations

  8. Sanjiang University

    Nanjing, China

    1 h-index

    1 publications

    58 citations

1–8 of 69

Venues

  1. Journal of Differential Equations

    3 publications · 231 citations

    3

    h-index

  2. JOURNAL OF CHEMICAL ENGINEERING OF JAPAN

    JCEJ · 3 publications · 46 citations

    3

    h-index

  3. Nonlinear Analysis

    2 publications · 60 citations

    2

    h-index

  4. Archive for Rational Mechanics and Analysis

    2 publications · 38 citations

    2

    h-index

  5. Communications in Mathematical Physics

    1 publications · 48 citations

    1

    h-index

1–5