Interfaces and Free Boundaries

Aims & Scope

Interfaces and Free Boundaries is dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems in all areas where such phenomena are pertinent.

The journal aims to be a forum where mathematical analysis, partial differential equations, modelling, scientific computing and the various applications which involve mathematical modelling meet.

Submissions should, ideally, emphasize the combination of theory and application.

Metrics & Ranking

Abstracting & Indexing

Journal is indexed in leading academic databases, ensuring global visibility and accessibility of our peer-reviewed research.

• Scopus
• Google Scholar
• Directory of Open Access Journals (DOAJ)
• Web of Science

Subjects & Keywords

Journal’s research areas, covering key disciplines and specialized sub-topics in Mathematics and Physics and Astronomy, designed to support cutting-edge academic discovery.

Licensing & Copyright

This journal operates under an Open Access model. Articles are freely accessible to the public immediately upon publication. The content is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0), allowing users to share and adapt the work with proper attribution.

Copyright remains with the author(s), and no permission is required for non-commercial use, provided the original source is cited.

Policy Links

This section provides access to essential policy documents, guidelines, and resources related to the journal’s publication and submission processes.

• Aims scope
• Homepage
• Oa statement
• Author instructions
• License terms
• Review url
• Board url
• Copyright url
• Preservation url
• Apc url
• License

APC Details

The journal’s Article Processing Charge (APC) policies support open access publishing in Mathematics and Physics and Astronomy, ensuring accessibility and quality in research dissemination.

This journal does not charge a mandatory Article Processing Charge (APC). However, optional open access publication may incur fees based on the publisher’s policies.

Explore journals without APCs for alternative publishing options.

Most Cited Articles

The Most Cited Articles section features the journal's most impactful research, based on citation counts. These articles have been referenced frequently by other researchers, indicating their significant contribution to their respective fields.

• Numerical implementation of the variational formulation for quasi-static brittle fracture

  Citation: 319

  Authors: Blaise

• Phase field modeling and simulation of three-phase flows

  Citation: 164

  Authors: Junseok, John

• A framework for the construction of level set methods for shape optimization and reconstruction

  Citation: 160

  Authors: Martin

• The fractional Cheeger problem

  Citation: 138

  Authors: Lorenzo, Erik, Enea

• A projection method for motion of triple junctions by level sets

  Citation: 107

  Authors: Kurt A., Francisco J., David

• Finite element approximation of a Cahn–Hilliard–Navier–Stokes system

  Citation: 97

  Authors: David, Vanessa, Richard

• Area-preserving curve-shortening flows: from phase separation to image processing

  Citation: 86

  Authors: Italo, Stefano, Riccardo

• An algorithm for Mean Curvature Motion

  Citation: 84

  Authors: Antonin

• A level set formulation for Willmore flow

  Citation: 79

  Authors: Marc, Martin

• On the two-phase Navier–Stokes equations with surface tension

  Citation: 76

  Authors: Jan, Gieri