Articles

1. Chaotic Phenomena for Generalised N-centre Problems

   • Stefano Baranzini
   • Gian Marco Canneori

   OriginalPaper Open access 24 April 2024 Article: 39

   

2. Isometric Immersions and the Waving of Flags

   • Martin Bauer
   • Jakob Møller-Andersen
   • Stephen C. Preston

   OriginalPaper Open access 16 April 2024 Article: 38

   

3. Propagation for Schrödinger Operators with Potentials Singular Along a Hypersurface

   • Jeffrey Galkowski
   • Jared Wunsch

   OriginalPaper Open access 14 April 2024 Article: 37

4. Nonlinear Stability and Asymptotic Behavior of Periodic Wave Trains in Reaction–Diffusion Systems Against \(C_{\textrm{ub}}\)-perturbations

   • Björn de Rijk

   OriginalPaper Open access 13 April 2024 Article: 36

5. Eigenvalue estimates for Fourier concentration operators on two domains

   • Felipe Marceca
   • José Luis Romero
   • Michael Speckbacher

   OriginalPaper Open access 12 April 2024 Article: 35

6. Publisher Correction: A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes

   • Andrew Clarke
   • Jacques Fejoz
   • Marcel Guardia

   Publisher Correction 11 April 2024 Article: 34

7. Mathematical Foundations of the Non-Hermitian Skin Effect

   • Habib Ammari
   • Silvio Barandun
   • Erik Orvehed Hiltunen

   OriginalPaper Open access 06 April 2024 Article: 33

   

8. Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect

   • Zaihui Gan
   • Yuchen Wang
   • Jialing Yu

   OriginalPaper 05 April 2024 Article: 32

   

9. Critical Perturbations for Second Order Elliptic Operators—Part II: Non-tangential Maximal Function Estimates

   • Simon Bortz
   • Steve Hofmann
   • Bruno Poggi

   OriginalPaper 05 April 2024 Article: 31

10. Existence of Homogeneous Euler Flows of Degree \(-\alpha \notin [-2,0]\)

    • Ken Abe

    OriginalPaper 04 April 2024 Article: 30

    

11. Higher Order Boundary Harnack Principle via Degenerate Equations

    • Susanna Terracini
    • Giorgio Tortone
    • Stefano Vita

    OriginalPaper 29 March 2024 Article: 29

    

12. Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate

    • Roméo Leylekian

    OriginalPaper 26 March 2024 Article: 28

    

13. Invariant Manifolds for the Thin Film Equation

    • Christian Seis
    • Dominik Winkler

    OriginalPaper Open access 25 March 2024 Article: 27

    

14. On the Nodal Set of Solutions to Some Sublinear Equations Without Homogeneity

    • Nicola Soave
    • Giorgio Tortone

    OriginalPaper 25 March 2024 Article: 26

15. Perturbation at Blow-Up Time of Self-Similar Solutions for the Modified Korteweg–de Vries Equation

    • Simão Correia
    • Raphël Côte

    OriginalPaper 24 March 2024 Article: 25

16. On the Triple Junction Problem without Symmetry Hypotheses

    • Nicholas D. Alikakos
    • Zhiyuan Geng

    OriginalPaper 22 March 2024 Article: 24

    

17. Higher Order Goh Conditions for Singular Extremals of Corank 1

    • Francesco Boarotto
    • Roberto Monti
    • Alessandro Socionovo

    OriginalPaper 22 March 2024 Article: 23

18. Self-Similar Finite-Time Blowups with Smooth Profiles of the Generalized Constantin–Lax–Majda Model

    • De Huang
    • Xiang Qin
    • Dongyi Wei

    OriginalPaper 22 March 2024 Article: 22

    

19. Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy

    • Sergio Conti
    • Matteo Focardi
    • Flaviana Iurlano

    OriginalPaper Open access 16 March 2024 Article: 21

20. Well-Posedness of the Dean–Kawasaki and the Nonlinear Dawson–Watanabe Equation with Correlated Noise

    • Benjamin Fehrman
    • Benjamin Gess

    OriginalPaper 11 March 2024 Article: 20

21. A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes

    • Andrew Clarke
    • Jacques Fejoz
    • Marcel Guardia

    OriginalPaper 21 February 2024 Article: 19

    

22. Existence of Optimal Shapes in Parabolic Bilinear Optimal Control Problems

    • Idriss Mazari-Fouquer

    OriginalPaper 15 February 2024 Article: 18

    

23. The Existence of Meissner Solutions to the Full Ginzburg–Landau System in Three Dimensions

    • Xingbin Pan
    • Xingfei Xiang

    OriginalPaper 14 February 2024 Article: 17

24. Front Selection in Reaction–Diffusion Systems via Diffusive Normal Forms

    • Montie Avery

    OriginalPaper 13 February 2024 Article: 16

    

25. The Loewner Energy via the Renormalised Energy of Moving Frames

    • Alexis Michelat
    • Yilin Wang

    OriginalPaper Open access 12 February 2024 Article: 15

    

26. Gradient Decay in the Boltzmann Theory of Non-isothermal Boundary

    • Hongxu Chen
    • Chanwoo Kim

    OriginalPaper Open access 06 February 2024 Article: 14

27. The \(L^p\) Teichmüller Theory: Existence and Regularity of Critical Points

    • Gaven Martin
    • Cong Yao

    OriginalPaper 02 February 2024 Article: 13

28. A Limit of Nonplanar 5-Body Central Configurations is Nonplanar

    • Alain Albouy
    • Antonio Carlos Fernandes

    OriginalPaper 31 January 2024 Article: 12

    

29. Intermittency and Lower Dimensional Dissipation in Incompressible Fluids

    • Luigi De Rosa
    • Philip Isett

    OriginalPaper Open access 25 January 2024 Article: 11

30. Local Well-Posedness of the Skew Mean Curvature Flow for Small Data in \(d\geqq 2\) Dimensions

    • Jiaxi Huang
    • Daniel Tataru

    OriginalPaper Open access 25 January 2024 Article: 10

    

31. The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality

    • Martin Hairer
    • Rhys Steele

    OriginalPaper Open access 23 January 2024 Article: 9

32. Weak Solutions of Mullins–Sekerka Flow as a Hilbert Space Gradient Flow

    • Sebastian Hensel
    • Kerrek Stinson

    OriginalPaper Open access 23 January 2024 Article: 8

33. Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence

    • Charles Collot
    • Helge Dietert
    • Pierre Germain

    OriginalPaper 23 January 2024 Article: 7

    

34. Microscopic Derivation of a Traffic Flow Model with a Bifurcation

    • P. Cardaliaguet
    • N. Forcadel

    OriginalPaper 19 January 2024 Article: 6

35. Traveling Wave Solutions to the One-Phase Muskat Problem: Existence and Stability

    • Huy Q. Nguyen
    • Ian Tice

    OriginalPaper 18 January 2024 Article: 5

36. Stable Singularity Formation for the Keller–Segel System in Three Dimensions

    • Irfan Glogić
    • Birgit Schörkhuber

    OriginalPaper Open access 05 January 2024 Article: 4

37. Localized Big Bang Stability for the Einstein-Scalar Field Equations

    • Florian Beyer
    • Todd A. Oliynyk

    OriginalPaper 08 December 2023 Article: 3

38. Relaxation Approximation and Asymptotic Stability of Stratified Solutions to the IPM Equation

    • Roberta Bianchini
    • Timothée Crin-Barat
    • Marius Paicu

    OriginalPaper 08 December 2023 Article: 2

39. Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow

    • Vesa Julin
    • Joonas Niinikoski

    OriginalPaper Open access 07 December 2023 Article: 1

40. Fine Properties of Geodesics and Geodesic \(\lambda \)-Convexity for the Hellinger–Kantorovich Distance

    • Matthias Liero
    • Alexander Mielke
    • Giuseppe Savaré

    OriginalPaper Open access 29 November 2023 Article: 112

    

41. Functions with Bounded Hessian–Schatten Variation: Density, Variational, and Extremality Properties

    • Luigi Ambrosio
    • Camillo Brena
    • Sergio Conti

    OriginalPaper Open access 20 November 2023 Article: 111

    

42. Two-Dimensional Ferronematics, Canonical Harmonic Maps and Minimal Connections

    • Giacomo Canevari
    • Apala Majumdar
    • Yiwei Wang

    OriginalPaper Open access 17 November 2023 Article: 110

    

43. Weak and Strong Versions of the Kolmogorov 4/5-Law for Stochastic Burgers Equation

    • Peng Gao
    • Sergei Kuksin

    OriginalPaper 12 November 2023 Article: 109

44. Free Boundary Minimal Annuli Immersed in the Unit Ball

    • Isabel Fernández
    • Laurent Hauswirth
    • Pablo Mira

    OriginalPaper Open access 10 November 2023 Article: 108

    

45. Beyond the Classical Cauchy–Born Rule

    • Andrea Braides
    • Andrea Causin
    • Lev Truskinovsky

    OriginalPaper 07 November 2023 Article: 107

    

46. A Remark on the Uniqueness of Solutions to Hyperbolic Conservation Laws

    • Alberto Bressan
    • Camillo De Lellis

    OriginalPaper 30 October 2023 Article: 106

    

47. Epsilon-Regularity for Griffith Almost-Minimizers in Any Dimension Under a Separating Condition

    • Camille Labourie
    • Antoine Lemenant

    OriginalPaper 13 October 2023 Article: 105

    

48. The Yang–Mills–Higgs Functional on Complex Line Bundles: \(\Gamma \)-Convergence and the London Equation

    • Giacomo Canevari
    • Federico Luigi Dipasquale
    • Giandomenico Orlandi

    OriginalPaper Open access 09 October 2023 Article: 104

49. Long-time asymptotics for coagulation equations with injection that do not have stationary solutions

    • Iulia Cristian
    • Marina A. Ferreira
    • Juan J. L. Velázquez

    OriginalPaper Open access 06 October 2023 Article: 103

    

50. Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System

    • Mohamed Ghattassi
    • Xiaokai Huo
    • Nader Masmoudi

    OriginalPaper 27 September 2023 Article: 102