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Constraint Maps with Free Boundaries: the Obstacle Case Alessio FigalliSunghan KimHenrik Shahgholian OriginalPaper Open access 06 September 2024 Article: 79
Metastability and Time Scales for Parabolic Equations with Drift 1: The First Time Scale Claudio LandimJungkyoung LeeInsuk Seo OriginalPaper 05 September 2024 Article: 78
Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier–Stokes/Allen–Cahn System Helmut AbelsJulian FischerMaximilian Moser Original Article Open access 03 September 2024 Article: 77
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness Cyrill B. MuratovMatteo NovagaPhilip Zaleski OriginalPaper Open access 31 August 2024 Article: 76
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows Xiao Liu OriginalPaper 28 August 2024 Article: 75
Matrix Displacement Convexity Along Density Flows Yair Shenfeld OriginalPaper 27 August 2024 Article: 74
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Local Well-Posedness of the Capillary-Gravity Water Waves with Acute Contact Angles Mei MingChao Wang OriginalPaper 26 August 2024 Article: 72
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary Gohar AleksanyanTuomo Kuusi OriginalPaper Open access 18 August 2024 Article: 71
A PDE Approach to the Existence and Regularity of Surfaces of Minimum Mean Curvature Variation Luis A. CaffarelliPablo Raúl StingaHernán Vivas OriginalPaper 05 August 2024 Article: 70
Quantified Legendreness and the Regularity of Minima Cristiana De FilippisLukas KochJan Kristensen OriginalPaper Open access 29 July 2024 Article: 69
The Gradient Flow for Entropy on Closed Planar Curves Lachlann O’DonnellGlen WheelerValentina-Mira Wheeler OriginalPaper Open access 27 July 2024 Article: 68
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps Jonas HirschLuca Spolaor OriginalPaper Open access 22 July 2024 Article: 67
Objective Rates as Covariant Derivatives on the Manifold of Riemannian Metrics B. KolevR. Desmorat OriginalPaper 15 July 2024 Article: 66
Degeneration of 7-Dimensional Minimal Hypersurfaces Which are Stable or Have a Bounded Index Nick Edelen OriginalPaper Open access 03 July 2024 Article: 65
Stable Recovery of Coefficients in an Inverse Fault Friction Problem Maarten V. de HoopMatti LassasLauri Oksanen OriginalPaper Open access 01 July 2024 Article: 64
Existence of Minimizers for the Dirac–Fock Model of Crystals Isabelle CattoLong MengÉric Séré OriginalPaper 25 June 2024 Article: 63
Recovery of Coefficients in Semilinear Transport Equations Ru-Yu LaiGunther UhlmannHanming Zhou OriginalPaper 19 June 2024 Article: 62
Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System Juan DávilaManuel del PinoJuncheng Wei OriginalPaper Open access 18 June 2024 Article: 61
Regularity for Nonuniformly Elliptic Equations with \(p,\!q\)-Growth and Explicit \(x,\!u\)-Dependence Giovanni CupiniPaolo MarcelliniElvira Mascolo OriginalPaper 17 June 2024 Article: 60
Conditional \(L^{\infty }\) Estimates for the Non-cutoff Boltzmann Equation in a Bounded Domain Zhimeng OuyangLuis Silvestre OriginalPaper 06 June 2024 Article: 59
Correction to: Perturbation at Blow-Up Time of Self-Similar Solutions for the Modified Korteweg–de Vries Equation Simão CorreiaRaphaël Côte Correction 05 June 2024 Article: 58
Correction to: Stable Singularity Formation for the Keller-Segel System in Three Dimensions Irfan GlogićBirgit Schörkhuber Correction Open access 05 June 2024 Article: 57
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem Alessandro MorandoPaolo SecchiDifan Yuan OriginalPaper Open access 04 June 2024 Article: 56
The Feynman–Lagerstrom Criterion for Boundary Layers Theodore D. DrivasSameer IyerTrinh T. Nguyen OriginalPaper 30 May 2024 Article: 55
Gradient Blow-Up for Dispersive and Dissipative Perturbations of the Burgers Equation Sung-Jin OhFederico Pasqualotto OriginalPaper 30 May 2024 Article: 54
A Maximisation Technique for Solitary Waves: The Case of the Nonlocally Dispersive Whitham Equation Mathias Nikolai ArnesenMats EhrnströmAtanas G. Stefanov OriginalPaper Open access 29 May 2024 Article: 53
Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the \((n+2)\)-Body Problem Inmaculada BaldomáErnest FontichPau Martín OriginalPaper 28 May 2024 Article: 52
Sustained Oscillations in Hyperbolic–Parabolic Systems Athanasios E. Tzavaras OriginalPaper 25 May 2024 Article: 51
Convergence Rates and Fluctuations for the Stokes–Brinkman Equations as Homogenization Limit in Perforated Domains Richard M. HöferJonas Jansen OriginalPaper Open access 22 May 2024 Article: 50
Smooth Transonic Flows with Nonzero Vorticity to a Quasi Two Dimensional Steady Euler Flow Model Shangkun WengZhouping Xin OriginalPaper 22 May 2024 Article: 49
Variational Worn Stones Graziano CrastaIlaria Fragalà OriginalPaper Open access 20 May 2024 Article: 48
Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System Weiren ZhaoRuizhao Zi OriginalPaper 17 May 2024 Article: 47
A Variational Perspective on Auxetic Metamaterials of Checkerboard-Type Wolf-Patrick DüllDominik EnglCarolin Kreisbeck OriginalPaper Open access 16 May 2024 Article: 46
Entropy and Thermodynamic Temperature in Nonequilibrium Classical Thermodynamics as Immediate Consequences of the Hahn–Banach Theorem: I. Existence Martin FeinbergRichard B. Lavine OriginalPaper Open access 15 May 2024 Article: 45
Regularity of the Optimal Sets for a Class of Integral Shape Functionals Giuseppe ButtazzoFrancesco Paolo MaialeBozhidar Velichkov OriginalPaper Open access 15 May 2024 Article: 44
Entropy and Thermodynamic Temperature in Nonequilibrium Classical Thermodynamics as Immediate Consequences of the Hahn–Banach Theorem: II Properties Martin FeinbergRichard B. Lavine OriginalPaper Open access 14 May 2024 Article: 43
A Priori Estimates for Solutions to Landau Equation Under Prodi–Serrin Like Criteria R. AlonsoV. BaglandB. Lods OriginalPaper Open access 13 May 2024 Article: 42
Nonlocal Cahn–Hilliard Equation with Degenerate Mobility: Incompressible Limit and Convergence to Stationary States Charles ElbarBenoît PerthameJakub Skrzeczkowski OriginalPaper 13 May 2024 Article: 41
Strong Well-Posedness of the Q-Tensor Model for Liquid Crystals: The Case of Arbitrary Ratio of Tumbling and Aligning Effects \(\xi \) Matthias HieberAmru HusseinMarc Wrona OriginalPaper Open access 07 May 2024 Article: 40
Chaotic Phenomena for Generalised N-centre Problems Stefano BaranziniGian Marco Canneori OriginalPaper Open access 24 April 2024 Article: 39
Isometric Immersions and the Waving of Flags Martin BauerJakob Møller-AndersenStephen C. Preston OriginalPaper Open access 16 April 2024 Article: 38