Interfaces and Free Boundaries
Online First Articles
Articles that will be published in the upcoming issues.

13 April 2026 Iterative thresholding methods for longest minimal length partitionsShilong HuHao LiuDong Wang
30 March 2026 Existence of solution to a system of PDEs modelling the crystal growth inside lithium batteriesI. Alexandros SkourasOmar LakkisVanessa Styles
12 March 2026 Babuška’s paradox in a nonlinear bending-folding modelSören BartelsAndrea BonitoPeter Hornung
10 March 2026 Evolution of hypersurfaces under the scalar curvature flowLami KimKi-Ahm Lee
3 March 2026 From discrete to continuum in the helical model: emergence of chirality transitions in the to limitMarco CicaleseDario ReggianiFrancesco Solombrino
3 March 2026 Transmission problems and domain decompositions for non-autonomous parabolic equations on evolving domainsAmal AlphonseAna DjurdjevacEmil EngströmEskil Hansen
2 March 2026 A hybrid minimizing movement and neural network approach to Willmore flowMartin RumpfJosua SassenChristoph Smoch
19 December 2025 The elliptic–parabolic Patlak–Keller–Segel system and volume-preserving mean curvature flowsJiwoong JangAntoine Mellet
19 December 2025 Non-existence of cusps for degenerate Alt–Caffarelli functionalsSean McCurdyLisa Naples
18 December 2025 Critical points of the one-dimensional Ambrosio–Tortorelli functional with an obstacle conditionMartin Rakovsky
2 December 2025 Gradient flow of phase transitions with fixed contact angleKobe Marshall-StevensMayu TakadaYoshihiro TonegawaMyles Workman
1 August 2025 A field-road system with a rectifiable setMatthieu BonnivardRomain DucasseAntoine LemenantAlessandro Zilio
16 June 2025 Global results for the inhomogeneous Muskat problemNeel PatelNikhil Shankar
13 June 2025 Weak and strong solutions for polymeric fluid-structure interaction of Oldroyd-B typePrince Romeo Mensah
6 June 2025 Stability and minimality of the ball for attractive-repulsive energies with perimeter penalizationMarco BonaciniIhsan Topaloglu
5 June 2025 A minimizing movements approach for crystalline eikonal-curvature flows of spiralsTakeshi OhtsukaYen-Hsi Richard Tsai
20 May 2025 Nonlocal fully nonlinear double obstacle problemsMohammad Safdari
14 May 2025 Existence of solution and asymptotic behavior for a two-phase singular elliptic free boundary problemEduardo HitomiMarcelo Montenegro
9 May 2025 A convergent augmented SAV scheme for stochastic Cahn–Hilliard equations with dynamic boundary conditions describing contact line tensionStefan Metzger