Interfaces and Free Boundaries
Online First Articles
Articles that will be published in the upcoming issues.
30 July 2026 Remarks on the fine structure of the free boundary (the no-sign obstacle problem)Seongmin JeonHenrik Shahgholian
27 July 2026 Openness of shape optimizers in higher-order and non-scalar problemsRupert L. Frank
29 June 2026 Surface Minkowski tensors to characterize shapes on curved surfacesLea HappelHanne HarderingSimon PraetoriusAxel Voigt
26 June 2026 Well-posedness of the free surface problem for non-Newtonian fluids between cylinders rotating at different speeds: Weissenberg effectJiaqi Yang
23 June 2026 Regularity of solutions to degenerate and singular free boundary problems with volume constraintThialita M. NascimentoXuan Hien NguyenPablo Raúl Stinga
15 June 2026 A Cahn–Hilliard–Willmore phase field model for non-oriented interfacesElie BretinAntonin ChambolleSimon Masnou
10 June 2026 Analysis of a finite element method for PDEs in evolving domains with topological changesMaxim A. OlshanskiiArnold Reusken
10 June 2026 On the existence of a singular limit equation for a model of a self-propelled object motionMasaharu NagayamaKoya SakakibaraKeisuke Takasao
2 June 2026 On a phase field model for binary mixtures of micropolar fluids with non-matched densities and moving contact linesKin Shing ChanBaoli HaoKei Fong LamBjörn Stinner
28 May 2026 Existence and uniqueness results for phase-field systems of grain boundary motion with 3D-crystalline orientationSalvador MollKen ShirakawaHiroshi Watanabe
20 May 2026 Weak solutions and sharp interface limit of the anisotropic Cahn–Hilliard equation with disparate mobility and inhomogeneous potentialCharles ElbarAndrea Poiatti
20 May 2026 A -convergence result for 2D type-I superconductorsAlessandro CosenzaMichael GoldmanAlessandro Zilio
19 May 2026 A numerical approach for the dynamics of active viscoelastic surfacesFrancine Kolley-KöchelJan Magnus SischkaAxel VoigtElisabeth Fischer-FriedrichSebastian Aland
18 May 2026 A uniqueness and stability principle for surface diffusionMilan KroemerTim Laux
4 May 2026 Interface dynamics in a degenerate Cahn–Hilliard model for viscoelastic phase separationKatharina HopfJohn R. KingAndreas MünchBarbara Wagner
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 HornungMichael Neunteufel
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
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
6 June 2025 Stability and minimality of the ball for attractive-repulsive energies with perimeter penalizationMarco BonaciniIhsan Topaloglu
20 May 2025 Nonlocal fully nonlinear double obstacle problemsMohammad Safdari