Interfaces and Free Boundaries

Top Research Topics at Interfaces and Free Boundaries?

The foci of Interfaces and Free Boundaries are Mathematical analysis, Free boundary problem, Boundary (topology), Nonlinear system and Limit (mathematics). The work on Mathematical analysis tackled in it brings together disciplines like Flow (mathematics) and Mean curvature, Mean curvature flow. The featured Mean curvature study falls within the wider topic of Curvature.

The work tackled in Interfaces and Free Boundaries goes beyond the discipline of Curvature as it also encompasses Classical mechanics. Most of the works presented in Interfaces and Free Boundaries deals with Free boundary problem but it intersects with the subject of Mixed boundary condition. The study on Boundary (topology) presented in it intersects with the topics under Domain (mathematical analysis).

The main emphasis of it is the subject of Boundary value problem, focusing on Neumann boundary condition.

• Mathematical analysis (56.77%)
• Free boundary problem (16.16%)
• Boundary (topology) (15.72%)

What are the most cited papers published in the journal?

• Numerical implementation of the variational formulation for quasi-static brittle fracture (224 citations)
• A framework for the construction of level set methods for shape optimization and reconstruction (167 citations)
• Phase field modeling and simulation of three-phase flows (125 citations)

Research areas of the most cited articles at Interfaces and Free Boundaries:

The most cited publications facilitate discussions on Mathematical analysis, Boundary (topology), Finite element method, Mean curvature flow and Free boundary problem. The most cited articles are focused mainly on Mathematical analysis, particularly Limit (mathematics). The journal papers facilitate discussions on Finite element method that incorporate concepts from other fields like Discretization, Partial differential equation, Cahn–Hilliard equation and Applied mathematics.

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

• Quantum mechanics
• Mathematical analysis
• Geometry

The previous edition focused in particular on these issues:

The journal is organized to address concerns in the fields of Mathematical analysis, Limit (mathematics), Bounded function, Grain boundary and Dissipation. Interfaces and Free Boundaries links adjacent topics like Mathematical analysis with Dynamics (mechanics). The studies in Limit (mathematics) featured incorporate elements of Almost everywhere, Uniqueness, Generic point and Obstacle problem.

In addition to Bounded function research, the journal aims to explore topics under Phase (waves), Operator (physics), Cauchy stress tensor, Domain (mathematical analysis) and Coupling (probability). It connects the study in Grain boundary with the closely related area of Monotonic function.

The most cited articles from the last journal are:

• Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface (3 citations)
• A curve shortening equation with time-dependent mobility related to grain boundary motions (0 citations)
• Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem (0 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.

Top authors and change over time

The top authors publishing in Interfaces and Free Boundaries (based on the number of publications) are:

• Matteo Novaga (10 papers) absent at the last edition,
• Klaus Deckelnick (8 papers) absent at the last edition,
• Charles M. Elliott (8 papers) absent at the last edition,
• Harald Garcke (7 papers) absent at the last edition,
• John W. Barrett (7 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.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Interfaces and Free Boundaries (based on the number of publications) are:

• University of Rome Tor Vergata (7 papers) absent at the last edition,
• University of Freiburg (6 papers) published 1 paper at the last edition,
• University of Bonn (6 papers) absent at the last edition,
• University of Regensburg (6 papers) published 1 paper at the last edition,
• Imperial College London (5 papers) absent at the last 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, 20.00% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 37.50% were posted by at least one author from the top 10 institutions publishing in the journal. Another 12.50% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 25.00% of all publications and 25.00% 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.