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Journal of Differential Equations
H-index 36

Journal of Differential Equations

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 10 256 546 36

Additional Metrics

Number of Best Scientists*: 300
Documents by Best Scientists*: 594
Top 100 Ranked Scientists*: 11
SCIMAGO H-index: 150
SCIMAGO SJR: 2.034
Impact Factor: 2.3

Overview

Top Research Topics at Journal of Differential Equations?

The objective of Journal of Differential Equations is to combine knowledge in the areas of Mathematical analysis, Pure mathematics, Nonlinear system, Bounded function and Boundary value problem. The research on Mathematical analysis tackled can also make contributions to studies in the areas of Boundary (topology) and Type (model theory). It explores research in Pure mathematics and the adjacent study of Discrete mathematics.

Topics in Nonlinear system were tackled in line with various other fields like Applied mathematics and Mathematical physics. Journal of Differential Equations dives deep in exploring the relationship between the study of Bounded function and Domain (mathematical analysis). It primarily discusses Boundary value problem topics, particularly Mixed boundary condition, Free boundary problem, Neumann boundary condition and Robin boundary condition.

It concentrates on Differential equation topics that focus on First-order partial differential equation and Stochastic partial differential equation.

  • Mathematical analysis (66.00%)
  • Pure mathematics (16.16%)
  • Nonlinear system (14.57%)

What are the most cited papers published in the journal?

  • Geometric singular perturbation theory for ordinary differential equations (1670 citations)
  • Regularity for a more general class of quasilinear elliptic equations (1221 citations)
  • Instability in the evolution equations describing incompressible granular flow (840 citations)

Research areas of the most cited articles at Journal of Differential Equations:

The published papers tackle a plethora of topics, such as Mathematical analysis, Nonlinear system, Pure mathematics, Bounded function and Boundary value problem. In addition to Mathematical analysis research, the journal articles aim to explore topics under Boundary (topology) and Mathematical physics. Nonlinear system study tackled in the published papers is connected to the field of Applied mathematics.

What topics the last edition of the journal is best known for?

  • Mathematical analysis
  • Quantum mechanics
  • Nonlinear system

The previous edition focused in particular on these issues:

The main research concerns discussed in Journal of Differential Equations are Mathematical analysis, Pure mathematics, Nonlinear system, Applied mathematics and Bounded function. The concepts on Mathematical analysis presented in it can also apply to other research fields, including Boundary (topology) and Compressibility. The Pure mathematics works featured in it incorporate elements from Class (set theory) and Type (model theory).

Nonlinear system research featured in the journal incorporates concerns from various other topics such as Initial value problem and Mathematical physics. Most of the Applied mathematics studies addressed also intersect with Limit (mathematics). Journal of Differential Equations explores topics in Bounded function which can be helpful for research in disciplines like Domain (ring theory), Domain (mathematical analysis) and Combinatorics.

The most cited articles from the last journal are:

  • Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold (20 citations)
  • Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data (18 citations)
  • Global behavior of a reaction-diffusion model with time delay and Dirichlet condition (16 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Journal of Differential Equations (based on the number of publications) are:

  • Jaume Llibre (69 papers) absent at the last edition,
  • Avner Friedman (45 papers) absent at the last edition,
  • Armengol Gasull (34 papers) published 2 papers at the last edition the same number as at the previous edition,
  • Tong Yang (34 papers) absent at the last edition,
  • Juncheng Wei (30 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Journal of Differential Equations (based on the number of publications) are:

  • University of Minnesota (158 papers) published 1 paper at the last edition, 2 less than at the previous edition,
  • Brown University (153 papers) published 3 papers at the last edition, 2 more than at the previous edition,
  • Chinese Academy of Sciences (152 papers) published 14 papers at the last edition, 1 less than at the previous edition,
  • Shanghai Jiao Tong University (137 papers) published 21 papers at the last edition, 9 more than at the previous edition,
  • Autonomous University of Barcelona (128 papers) published 5 papers at the last edition, 5 less than at the previous edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 4.84% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 10.82% were posted by at least one author from the top 10 institutions publishing in the journal. Another 6.56% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 15.41% of all publications and 67.21% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • A new class of double phase variable exponent problems: Existence and uniqueness

    (2021)
    133 Citations
  • The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system

    Yongli Song;Yahong Peng;Tonghua Zhang

    (2021)
    96 Citations
  • Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients

    Wei Liu;Michael Röckner;Michael Röckner;Xiaobin Sun;Yingchao Xie

    (2020)
    95 Citations
  • Soliton resolution for the complex short pulse equation with weighted Sobolev initial data in space-time solitonic regions

    (2021)
    84 Citations
  • Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations

    Sitong Chen;Alessio Fiscella;Patrizia Pucci;Xianhua Tang

    (2020)
    84 Citations
  • Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations

    (2022)
    65 Citations
  • Double phase Dirichlet problems with unilateral constraints

    (2022)
    65 Citations
  • Propagation dynamics of a nonlocal dispersal Fisher-KPP equation in a time-periodic shifting habitat

    Guo-Bao Zhang;Guo-Bao Zhang;Xiao-Qiang Zhao

    (2020)
    64 Citations
  • Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations

    Weihua Jiang;Qi An;Junping Shi

    (2020)
    63 Citations
  • Sensitivity analysis of optimal control problems driven by dynamic history-dependent variational-hemivariational inequalities

    (2023)
    61 Citations

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