Concepedia

Global Well-posedness

Global Well-Posedness is the property of a partial differential equation, within the context of the Navier-Stokes equations, whereby a unique solution exists for all time, depends continuously on the initial data, and remains smooth under specified regularity conditions.

1.6K

Publications

79.8K

Citations

1.6K

Authors

783

Institutions

Publications per year

2017–2026

418

Parents

Publications

1.6K

Partial regularity of suitable weak solutions of the navier‐stokes equations

Luis Caffarelli, Robert V. Kohn, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1982 · 1.6K citations

, , +16

On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations

Eduard Feireisl, Antonín Novotný, Hana Petzeltová · Journal of Mathematical Fluid Mechanics · 2001 · 861 citations

, , +14

Global Conservative Solutions of the Camassa–Holm Equation

Alberto Bressan, Adrian Constantin · Archive for Rational Mechanics and Analysis · 2006 · 824 citations

, , +6

Global well-posedness, scattering and blow-up for the energycritical, focusing, non-linear Schrödinger equation in the radial case

2006 · 658 citations

, , +9

Well-posedness of the initial value problem for the Korteweg-de Vries equation

Carlos E. Kenig, Gustavo Ponce, Luis Vega · Journal of the American Mathematical Society · 1991 · 643 citations

, , +16

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Authors

1.6K

  1. ES
    Edriss S. Titi

    University of California, Irvine, United States

    25 publications · 2.4K citations

    22

    h-index

  2. TT
    Terence Tao

    University of California, Los Angeles, United States

    23 publications · 3K citations

    21

    h-index

  3. MV
    Monica Vişan

    University of California, Los Angeles, United States

    24 publications · 1.8K citations

    19

    h-index

  4. CM
    Changxing Miao

    Institute of Applied Physics and Computational Mathematics, China

    18 publications · 1.4K citations

    17

    h-index

  5. GS
    Gigliola Staffilani

    Massachusetts Institute of Technology, United States

    19 publications · 2K citations

    17

    h-index

1–5 of 1.6K

Institutions

783

  1. Institute of Applied Physics and Computational Mathematics

    Beijing, China

    27 h-index

    62 publications

    3.9K citations

  2. Academy of Mathematics and Systems Science

    Beijing, China

    26 h-index

    51 publications

    3K citations

  3. Chinese Academy of Sciences

    Beijing, China

    26 h-index

    55 publications

    3.5K citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    24 h-index

    71 publications

    2.9K citations

  5. Université Paris Cité

    Paris, France

    23 h-index

    36 publications

    3.4K citations

  6. Weizmann Institute of Science

    Rehovot, Israel

    20 h-index

    31 publications

    2.4K citations

  7. Peking University

    Beijing, China

    20 h-index

    53 publications

    2.3K citations

  8. Princeton University

    Princeton, United States

    18 h-index

    22 publications

    1.3K citations

1–8 of 783

Venues

  1. Journal of Differential Equations

    162 publications · 8K citations

    51

    h-index

  2. SIAM Journal on Mathematical Analysis

    60 publications · 3.4K citations

    34

    h-index

  3. Communications in Partial Differential Equations

    54 publications · 2.9K citations

    33

    h-index

  4. Archive for Rational Mechanics and Analysis

    51 publications · 3.6K citations

    28

    h-index

  5. Nonlinear Analysis

    61 publications · 2.1K citations

    26

    h-index

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