Interfaces and Free Boundaries
Online First Articles
Articles that will be published in the upcoming issues.
15 June 2026 A Cahn–Hilliard–Willmore phase field model for non-oriented interfacesElie BretinAntonin ChambolleSimon Masnou
11 June 2026 A penalized Allen–Cahn equation for the mean curvature flow of thin structuresElie BretinChih-Kang HuangSimon 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
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
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