Concepedia

Initial-value Problems In Transport

Initial-Value Problems in Transport is a theoretical framework within time-dependent transport theory that specifically characterizes the evolution of transport phenomena from a precisely defined initial state, distinguishing it from boundary-value or steady-state formulations by its reliance on initial conditions to determine temporal dynamics.

115

Publications

7.6K

Citations

216

Authors

143

Institutions

Publications per year

2017–2026

24

Parents

Publications

115

The initial value problem for the equations of motion of viscous and heat-conductive gases

Akitaka Matsumura, Takaaki Nishida · Kyoto journal of mathematics · 1980 · 1.1K citations · Full text

, , +14

Transport equation and Cauchy problem for BV vector fields

Luigi Ambrosio · Inventiones mathematicae · 2004 · 631 citations

, , +13

Elementary solutions of the transport equation and their applications

K. M. Case · Annals of Physics · 1960 · 516 citations

, , +14

A few remarks on the Camassa-Holm equation

Raphaël Danchin · Differential and Integral Equations · 2001 · 441 citations

, , +16

Well-posedness of the transport equation by stochastic perturbation

Franco Flandoli, Massimiliano Gubinelli, Enrico Priola · Inventiones mathematicae · 2009 · 411 citations · Full text

, , +14

1–5 of 115

Authors

216

  1. AJ
    Aref Jeribi

    University of Sfax, Tunisia

    3 publications · 95 citations

    3

    h-index

  2. AG
    Alfred Galichon

    Courant Institute of Mathematical Sciences, United States

    3 publications · 380 citations

    3

    h-index

  3. LA
    Luigi Ambrosio

    Scuola Normale Superiore, Italy

    3 publications · 719 citations

    3

    h-index

  4. GM
    G. Milton Wing

    Sandia National Laboratories California, United States

    3 publications · 36 citations

    3

    h-index

  5. MA
    Marco A. Fontelos

    Universidad Autónoma de Madrid, Spain

    2 publications · 233 citations

    2

    h-index

1–5 of 216

Institutions

143

  1. Centre National de la Recherche Scientifique

    Paris, France

    7 h-index

    9 publications

    298 citations

  2. Scuola Normale Superiore

    Pisa, Italy

    5 h-index

    5 publications

    806 citations

  3. Université Paris Dauphine-PSL

    Paris, France

    3 h-index

    6 publications

    1.4K citations

  4. University of Pisa

    Pisa, Italy

    3 h-index

    3 publications

    585 citations

  5. Courant Institute of Mathematical Sciences

    New York, United States

    3 h-index

    3 publications

    181 citations

  6. University of Sfax

    Sfax, Tunisia

    3 h-index

    8 publications

    230 citations

  7. University of Michigan

    Ann Arbor, United States

    3 h-index

    3 publications

    554 citations

  8. Université Paris Cité

    Paris, France

    3 h-index

    3 publications

    614 citations

1–8 of 143

Venues

  1. 9

    h-index

  2. Journal of Functional Analysis

    6 publications · 549 citations

    6

    h-index

  3. SIAM Journal on Mathematical Analysis

    5 publications · 248 citations

    5

    h-index

  4. Archive for Rational Mechanics and Analysis

    3 publications · 45 citations

    3

    h-index

  5. Advances in Mathematics

    2 publications · 113 citations

    3

    h-index

1–5