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Nonlinear Differential Equations and Applications
H-index 9

Nonlinear Differential Equations and Applications

1021-9722

Published by: Springer

https://www.springer.com/journal/30

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 302 32 36 9

Additional Metrics

Number of Best Scientists*: 35
Documents by Best Scientists*: 38
Top 100 Ranked Scientists*: 1
SCIMAGO H-index: 49
SCIMAGO SJR: 1.11
Impact Factor: 1.2

Overview

Top Research Topics at Nodea-nonlinear Differential Equations and Applications?

The scientific interests tackled in Nodea-nonlinear Differential Equations and Applications are Mathematical analysis, Nonlinear system, Combinatorics, Bounded function and Pure mathematics. It facilitates discussions on Mathematical analysis that incorporate concepts from other fields like Type (model theory) and Boundary (topology). Nonlinear system research presented in the journal encompasses a variety of subjects, including Initial value problem, Schrödinger equation, Applied mathematics and Mathematical physics.

The Combinatorics works featured in Nodea-nonlinear Differential Equations and Applications incorporate elements from Lambda, Nabla symbol, Omega and Energy (signal processing). The study on Omega presented in Nodea-nonlinear Differential Equations and Applications intersects with the topics under Domain (ring theory). The journal focuses on Bounded function but the discussions also offer insight into other areas such as Discrete mathematics, Lipschitz continuity and Domain (mathematical analysis).

The Pure mathematics study featured in Nodea-nonlinear Differential Equations and Applications draws connections with the study of Class (set theory). The Boundary value problem works, particularly on Mixed boundary condition are tackled in the journal.

  • Mathematical analysis (63.29%)
  • Nonlinear system (23.61%)
  • Combinatorics (16.16%)

What are the most cited papers published in the journal?

  • On rate-independent hysteresis models (290 citations)
  • Stochastic Burgers' equation (213 citations)
  • Variational methods for indefinite superlinear homogeneous elliptic problems (186 citations)

Research areas of the most cited articles at Nodea-nonlinear Differential Equations and Applications:

The journal papers are organized to address concerns in the fields of Mathematical analysis, Nonlinear system, Uniqueness, Bounded function and Combinatorics. The works on Mathematical analysis tackled in the most cited papers bring together disciplines like Boundary (topology) and Pure mathematics. The journal articles explore issues in Nonlinear system which can be linked to other research areas like Schrödinger equation, Multiplicity (mathematics), Class (set theory), Space (mathematics) and Maximum principle.

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:

Mathematical analysis, Nonlinear system, Applied mathematics, Uniqueness and Pure mathematics are the subjects of interest in Nodea-nonlinear Differential Equations and Applications. Mathematical analysis, which encompasses Bounded function, Infinity, Conservation law, Limit (mathematics) and Space (mathematics), is the main subject of Nodea-nonlinear Differential Equations and Applications. The studies on Nonlinear system discussed can also contribute to research in the domains of Scattering, Type (model theory), Energy (signal processing), Ground state and Term (time).

The research on Applied mathematics tackled can also make contributions to studies in the areas of Bellman equation, Boundary value problem, Class (set theory), Function (mathematics) and Order (group theory). The concepts on Uniqueness presented in the journal can also apply to other research fields, including Weak solution, Invariant (mathematics), Attractor and Distribution (number theory). While Pure mathematics is the focus of it, it also provided insights into the studies of Work (thermodynamics), Omega, Degenerate energy levels and Extension (predicate logic).

The most cited articles from the last journal are:

  • Approaching optimality in blow-up results for Keller–Segel systems with logistic-type dampening (7 citations)
  • Weak solutions for potential mean field games of controls (5 citations)
  • Regularity results for a class of nonlinear fractional Laplacian and singular problems (4 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 Nodea-nonlinear Differential Equations and Applications (based on the number of publications) are:

  • Nikolaos S. Papageorgiou (6 papers) absent at the last edition,
  • Paola Mannucci (6 papers) absent at the last edition,
  • Kanishka Perera (6 papers) published 1 paper at the last edition,
  • Achenef Tesfahun (5 papers) published 1 paper at the last edition,
  • Adimurthi (5 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 Nodea-nonlinear Differential Equations and Applications (based on the number of publications) are:

  • Sapienza University of Rome (50 papers) published 1 paper at the last edition, 5 less than at the previous edition,
  • University of Padua (26 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • University of Florence (18 papers) published 1 paper at the last edition,
  • International School for Advanced Studies (17 papers) absent at the last edition,
  • Polytechnic University of Milan (15 papers) published 1 paper at the last edition, 1 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, 10.14% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 8.06% were posted by at least one author from the top 10 institutions publishing in the journal. Another 6.45% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 19.35% of all publications and 66.13% 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

  • Stochastic dynamics of a neural field lattice model with state dependent nonlinear noise

    Xiaoli Wang;Xiaoli Wang;Peter E. Kloeden;Xiaoying Han

    (2021)
    21 Citations
  • Deterministic mean field games with control on the acceleration

    Yves Achdou;Paola Mannucci;Claudio Marchi;Nicoletta Tchou

    (2020)
    21 Citations
  • Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion

    (2022)
    18 Citations
  • Regularity of the value function and quantitative propagation of chaos for mean field control problems

    (2022)
    18 Citations
  • Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities

    Mengyao Ding;Michael Winkler

    (2021)
    15 Citations
  • An example of multiple mean field limits in ergodic differential games

    Pierre Cardaliaguet;Catherine Rainer

    (2020)
    14 Citations
  • Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control

    (2021)
    12 Citations
  • Calderon–Zygmund–Stampacchia theory for infinite energy solutions of nonlinear elliptic equations with singular drift

    L. Boccardo;S. Buccheri;G. R. Cirmi

    (2020)
    10 Citations
  • Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups

    Aidyn Kassymov;Aidyn Kassymov;Michael Ruzhansky;Michael Ruzhansky;Durvudkhan Suragan

    (2020)
    9 Citations
  • Doubling the equatorial for the prescribed scalar curvature problem on SN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document

    (2023)
    8 Citations

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Best Scientists Contributing to This Journal