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  1. Some counterexamples for the special lagrangian curvature equation
    2026/07/26 by Guohuan Qiu, Guanyu Tao · 1 citation
    #math.AP #math.DG
  2. Eigenfunctions, free boundaries, and time-frequency localization
    2026/07/23 by João P. G. Ramos · 1 citation
    #math.AP #math.CA #math.CV #math.FA
  3. On the global well-posedness for the nonlocal Fokas-Lenells equation with the weighted Sobolev initial data on the line
    2026/07/22 by Zhenya Yan, Guoqiang Zhang, Guancheng Zhu · 1 voice
    #nlin.SI #math-ph #math.AP #math.MP #physics.optics #quant-ph
  4. A perturbative microscopic derivation of the focusing Φ61 measure with rough cut-off
    2026/07/22 by Shahnaz Farhat, Andrew Rout · 1 citation
    #math-ph #math.AP #math.MP #math.PR
  5. Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background
    2026/07/21 by Taohua Luo, Zhenya Yan, Guoqiang Zhang · 1 voice
    #nlin.SI #math-ph #math.AP #math.MP #nlin.PS #physics.optics
  6. A lecture on Navier-Stokes equations
    2026/07/21 by Sylvie Monniaux · 1 voice
    #math.HO #math.AP
  7. Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations
    2026/07/21 by Pierre Gervais · 1 citation
    #math.AP
  8. Sharp Gradient Stability for the Sobolev Trace Inequality
    2026/07/20 by Xi-Nan Ma, Yitian Zhang, Yang Zhou · 1 citation
    #math.AP
  9. SciPhy Reinforcement Learning for Portfolio Optimization
    2026/07/16 by Igor Halperin, Andrey Itkin · 1 voice
    #q-fin.PM #cs.NA #math.AP #math.NA #q-fin.CP #q-fin.MF
  10. Classical Symmetries and Painleve Analysis for the (1+3) Kudryashov-Sinelshchikov Equation
    2026/07/16 by Amlan K Halder, Rajeswari Seshadri, A Paliathanasis +1 · 1 voice
    #nlin.SI #math.AP
  11. Sharp asymptotics for higher-order Hardy constants on lattices
    2026/07/16 by Shubham Gupta · 1 citation
    #math.FA #math.AP
  12. Discovery of Unstable Singularities
    2025/09/17 by Y. Wang, Yongji Wang, Mehdi Bennani +45 · 8 voices · 3 citations
    Physics and Astronomy · Engineering · Computer Science · #math.AP #physics.flu-dyn
  13. A transport approach to the cutoff phenomenon
    2025/09/10 by Francesco Pedrotti, Justin Salez, Pedrotti, Francesco +1 · 1 voice · 1 citation
    #math.PR #math.AP #math.ST #stat.ML
  14. Existence of smooth solutions of the Navier-Stokes equations in three-dimensional Euclidean space
    2025/07/24 by Genqian Liu, Liu, Genqian · 2 voices
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #math-ph #math.AP
  15. Kernels of trace operators via fine continuity
    2025/07/06 by Michael Hinz, Hinz, Michael, Simon N. Chandler-Wilde +3 · 2 citations
    #math.FA #cs.NA #math.AP #math.NA
  16. Non-uniform finite-element meshes defined by ray dynamics for Helmholtz problems
    2025/06/18 by Martin Averseng, Jeffrey Galkowski, Averseng, Martin +3 · 1 voice
    #math.NA #math.AP
  17. Maximizing higher eigenvalues in dimensions three and above
    2025/06/11 by Denis Vinokurov, Vinokurov, Denis · 3 citations
    Mathematics · #53C43 (Secondary) #58J50 (Primary) 58E20 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Graph theory and applications #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.AP #math.DG #math.SP #msc:53C43 #msc:58E20 #msc:58J50
  18. On the quantum dynamics of long-ranged Bose-Hubbard Hamiltonians
    2025/05/03 by Marius Lemm, Lemm, Marius, Carla Rubiliani +3 · 1 voice · 3 citations
    Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #math-ph #math.AP #quant-ph
  19. Minimizing Eigenvalues of the Fractional Laplacian
    2025/04/14 by Alvis Zahl, Zahl, Alvis · 1 voice · 1 citation
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Nonlinear Partial Differential Equations #math.AP #msc:35B65 #msc:35R35
  20. Error analysis of the Strang splitting for the 3D semilinear wave equation with finite-energy data
    2025/03/17 by Maximilian Ruff, Ruff, Maximilian · 1 citation
    #math.NA #cs.NA #math.AP
  21. A Unified Perspective on the Dynamics of Deep Transformers
    2025/01/30 by Valérie Castin, Castin, Valérie, Pierre Ablin +6 · 1 voice · 12 citations
    Computer Science · Engineering · #Advanced Memory and Neural Computing #Neural Networks and Applications #Neural Networks and Reservoir Computing #cs.LG #math.AP
  22. Galaxy dynamics, gravitational Vlasov-Poisson system, Landau damping, and scattering theory
    2025/01/07 by Ricardo Weder, Weder, Ricardo · 1 citation
    #math.AP #astro-ph.GA #math-ph #math.MP #math.SP
  23. Fisher Information in Kinetic Theory
    2025/01/01 by Cédric Villani, Villani, Cédric · 5 voices · 4 citations
    #math.AP #math-ph
  24. Derivation of the Chern-Simons-Schrödinger equation from the dynamics of an almost-bosonic-anyon gas
    2024/12/17 by Théotime Girardot, Jinyeop Lee, Girardot, Théotime +1 · 2 citations
    #math-ph #math.AP #math.MP
  25. Gluing methods for quantitative stability of optimal transport maps
    2024/11/07 by Cyril Letrouit, Letrouit, Cyril, Quentin Mérigot +1 · 6 citations
    #math.AP #math.PR
  26. Dense networks of integrate-and-fire neurons: Spatially-extended mean-field limit of the empirical measure
    2024/09/10 by Pierre‐Emmanuel Jabin, Pierre-Emmanuel Jabin, Jabin, Pierre-Emmanuel +5 · 1 voice · 1 citation
    Neuroscience · Physics and Astronomy · #Functional Brain Connectivity Studies #Neural dynamics and brain function #math.AP #math.PR #q-bio.NC #stochastic dynamics and bifurcation
  27. Long time derivation of the Boltzmann equation from hard sphere dynamics
    2024/08/14 by Yu Deng, Deng, Yu, Zaher Hani +3 · 2 voices · 5 citations
    #math.AP
  28. Full description of Benjamin-Feir instability for generalized Korteweg-de Vries equations
    2024/04/09 by Alberto Maspero, Antonio Milosh Radakovic, Maspero, Alberto +1 · 1 citation
    #math.AP
  29. Construction of signed distance functions through an elliptic equation
    2024/01/31 by Takahiro Hasebe, Hasebe, Takahiro, Jun Masamune +7 · 1 citation
    Mathematics · #Differential Equations and Boundary Problems #math.AP
  30. The sharp growth rate in nonuniformly elliptic Schauder theory
    2024/01/13 by Cristiana De Filippis, De Filippis, Cristiana, Giuseppe Mingione +1 · 1 voice · 5 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.AP

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