arXiv math.AP Analysis of PDEs

Hyungjun Choi: Nonuniqueness of Solutions to 2D Incompressible Euler Equations with Unbounded Vorticity https://arxiv.org/abs/2610.37653 https://arxiv.org/pdf/2610.37653 https://arxiv.org/html/2610.37653

Marc Laforest, Philippe G. LeFloch: Diffusive-dispersive traveling waves and kinetic relations. Generic flux with multiple inflection points https://arxiv.org/abs/2610.37623 https://arxiv.org/pdf/2610.37623 https://arxiv.org/html/2610.37623

Camillo De Lellis, Federico Glaudo: Boundary Plateau Laws II https://arxiv.org/abs/2610.37560 https://arxiv.org/pdf/2610.37560 https://arxiv.org/html/2610.37560

Camillo De Lellis, Federico Glaudo: Boundary Plateau Laws I https://arxiv.org/abs/2610.37559 https://arxiv.org/pdf/2610.37559 https://arxiv.org/html/2610.37559

Yan Li, Zhiwen Zhao: Local regularity for solutions to singular and degenerate quasilinear parabolic equations https://arxiv.org/abs/2610.37538 https://arxiv.org/pdf/2610.37538 https://arxiv.org/html/2610.37538

Takanobu Hara: Global H\"{o}lder solvability for parabolic equations with interior Morrey data https://arxiv.org/abs/2610.37528 https://arxiv.org/pdf/2610.37528 https://arxiv.org/html/2610.37528

Sebastian Woodward: Lojasiewicz Estimates for a Regularised Baby-Skyrme Model https://arxiv.org/abs/2610.37499 https://arxiv.org/pdf/2610.37499 https://arxiv.org/html/2610.37499

Sebastian Woodward: Bubble Tree Convergence for Minimisers of a Regularised Baby-Skyrme Model https://arxiv.org/abs/2610.37457 https://arxiv.org/pdf/2610.37457 https://arxiv.org/html/2610.37457

Lisbeth Carrero, Alexander Quaas, Andres Zuniga: Sharp Planar Anisotropic Capillarity Outside Convex Obstacles and Two-Point Rigidity of Transported Boundary Images https://arxiv.org/abs/2610.37440 https://arxiv.org/pdf/2610.37440 https://arxiv.org/html/2610.37440

Rom\'eo Leylekian: Sharp Poincar\'e inequality for $W_0^{2,p}$ https://arxiv.org/abs/2610.37433 https://arxiv.org/pdf/2610.37433 https://arxiv.org/html/2610.37433

Guiyu Xie, Cheng Zhang: Sharp Bounds for Toral Eigenfunctions and Threefold Additive Energy on Circles https://arxiv.org/abs/2610.37423 https://arxiv.org/pdf/2610.37423 https://arxiv.org/html/2610.37423

Alexandra Blessing Neam\c{t}u, Hongjun Gao, Haoyuan Li: A semigroup approach for rough partial differential equations with jumps https://arxiv.org/abs/2610.37401 https://arxiv.org/pdf/2610.37401 https://arxiv.org/html/2610.37401

Kexin Zhang: Regularity Effects on the Small-Diffusion Asymptotics of the Principal Eigenvalue: Non-convergence and Convergence https://arxiv.org/abs/2610.37259 https://arxiv.org/pdf/2610.37259 https://arxiv.org/html/2610.37259

Christophe Berthon (LMJL), Marie Compain (LMJL), Carlos Par\'es, Ernesto Pimentel-Garc\'ia: Solutions of the Riemann problem for the Self-Organized Hydrodynamics model https://arxiv.org/abs/2610.37252 https://arxiv.org/pdf/2610.37252 https://arxiv.org/html/2610.37252

Alberto Enciso, Antonio J. Fern\'andez: A new approach to compactly supported stationary Euler flows https://arxiv.org/abs/2610.37251 https://arxiv.org/pdf/2610.37251 https://arxiv.org/html/2610.37251

Han Cui, Linhao Shi: Global Existence and Scattering of a Class of Two-Dimensional Euler--Poisson--Korteweg Systems https://arxiv.org/abs/2610.37220 https://arxiv.org/pdf/2610.37220 https://arxiv.org/html/2610.37220

Nirjan Biswas, Debangana Mukherjee: The homogeneity function of the fractional $p$-Laplacian and optimal asymptotic exponents for critical Hardy-Sobolev equations https://arxiv.org/abs/2610.37212 https://arxiv.org/pdf/2610.37212 https://arxiv.org/html/2610.37212

Kyeongbae Kim, Simon Nowak, Marvin Weidner: Quantitative periodic homogenization and uniform regularity for nonlocal equations https://arxiv.org/abs/2610.37209 https://arxiv.org/pdf/2610.37209 https://arxiv.org/html/2610.37209

Hong-Ge Chen, Peng Luo, Shuangjie Peng, Fulin Zhong: Uniform parameter bounds for weighted exponential equations on simply connected domains https://arxiv.org/abs/2610.37177 https://arxiv.org/pdf/2610.37177 https://arxiv.org/html/2610.37177

Dami\~ao J. Ara\'ujo, Rafayel Teymurazyan, Jos\'e Miguel Urbano: Tumor growth models with nutrient consumption https://arxiv.org/abs/2610.37144 https://arxiv.org/pdf/2610.37144 https://arxiv.org/html/2610.37144

Zijian Du, Sen Yang, Xinglong You: Large-bulk-viscosity limit for two-dimensional compressible micropolar fluids with vacuum https://arxiv.org/abs/2610.37099 https://arxiv.org/pdf/2610.37099 https://arxiv.org/html/2610.37099

Jiaxu Li, Boqiang L\"u, Bing Yuan: Global Well-Posedness and Large Time Asymptotic Behavior of Strong Solutions to the Compressible Viscous Non-Resistive MHD Equations with Vacuum https://arxiv.org/abs/2610.37078 https://arxiv.org/pdf/2610.37078 https://arxiv.org/html/2610.37078

Shunqin Zhang, Jiqiang Zheng, Yunrui Zheng: Global well-posedness and scattering of energy-critical defocusing nonlinear Schr\"odinger equation on high-dimensional hyperbolic spaces https://arxiv.org/abs/2610.37077 https://arxiv.org/pdf/2610.37077 https://arxiv.org/html/2610.37077

Augusto Del Zotto, Luca Melzi, Haoling Xiang: Extended stability timescales for the 2D3C rotating stratified Boussinesq equations https://arxiv.org/abs/2610.37013 https://arxiv.org/pdf/2610.37013 https://arxiv.org/html/2610.37013

Max Hegenbart: Emergence of large densities in a chemotaxis system with signal-dependent motility https://arxiv.org/abs/2610.36934 https://arxiv.org/pdf/2610.36934 https://arxiv.org/html/2610.36934

Aleks Jevnikar, Senli Liu, Yu Su: A class of degenerate elliptic problems involving the Grushin operator: critical mass and ground states https://arxiv.org/abs/2610.36927 https://arxiv.org/pdf/2610.36927 https://arxiv.org/html/2610.36927

Bing He: Principal profiles, characteristic communication and critical asymptotics for cooperative nonlocal systems on the circle https://arxiv.org/abs/2610.36851 https://arxiv.org/pdf/2610.36851 https://arxiv.org/html/2610.36851

Dong Qiu, Xiang Xu, Yue Zhao: An inverse moving point source problem in inhomogeneous acoustic media: uniqueness, stability and reconstruction https://arxiv.org/abs/2610.36830 https://arxiv.org/pdf/2610.36830 https://arxiv.org/html/2610.36830

Guanggan Chen, Wenhu Zhong: Dissipative weak solutions to the three-dimensional stochastic Euler equations https://arxiv.org/abs/2610.36819 https://arxiv.org/pdf/2610.36819 https://arxiv.org/html/2610.36819

Fei Tang, Shou-Fu Tian: Sharp well-posedness and soliton resolution for the half-wave maps equation in $H^{1/2}_\bullet$ https://arxiv.org/abs/2610.36676 https://arxiv.org/pdf/2610.36676 https://arxiv.org/html/2610.36676

Ricardo H. Nochetto, Mansur Shakipov: Fluid Problems Posed on Closed Hypersurfaces: Circumventing the Saddle-Point Structure https://arxiv.org/abs/2610.36641 https://arxiv.org/pdf/2610.36641 https://arxiv.org/html/2610.36641

Hoang-Hung Vo: Time-Periodic Chemotaxis in Shifting Environments: Propagation and Planar Forced Waves in $\R^N$ https://arxiv.org/abs/2610.36627 https://arxiv.org/pdf/2610.36627 https://arxiv.org/html/2610.36627

Hanyu Teng: Energy equality and renormalization of Navier-Stokes-Vlasov equations https://arxiv.org/abs/2610.36579 https://arxiv.org/pdf/2610.36579 https://arxiv.org/html/2610.36579

Zhengni Hu, Aleks Jevnikar, Sang-Hyuck Moon: On Solutions for Singular Toda System on Surfaces with Boundary https://arxiv.org/abs/2610.36548 https://arxiv.org/pdf/2610.36548 https://arxiv.org/html/2610.36548

Yunfeng Chen, Tusheng Zhang: Global Well-posedness and Asymptotic Extinction for Keller-Segel Systems with Superlinear Noise https://arxiv.org/abs/2610.36485 https://arxiv.org/pdf/2610.36485 https://arxiv.org/html/2610.36485

Yongteng Gu, Xiangdi Huang, Muxi Lei: Large data global strong solutions to the quantum Navier-Stokes equations with degenerate viscosity https://arxiv.org/abs/2610.36480 https://arxiv.org/pdf/2610.36480 https://arxiv.org/html/2610.36480

Juli\'an L\'opez-G\'omez, Alejandro Sahuquillo: A self-contained proof of the variational characterization of the principal eigenvalue of $-\Delta+q$ under general Robin boundary conditions o... https://arxiv.org/abs/2610.36457 https://arxiv.org/pdf/2610.36457 https://arxiv.org/html/2610.36457

David Damanik (Rice University), Long Li (Texas A&M University), Nicolae Strungaru (MacEwan University): Almost Periodicity Properties Arising From the Sodin-Yuditskii Theory https://arxiv.org/abs/2610.36403 https://arxiv.org/pdf/2610.36403 https://arxiv.org/html/2610.36403

Giovanni Di Fratta, Alberto Fiorenza, Leon Happ: A fractional modular Poincar\'e--Wirtinger-type inequality in Sobolev spaces with variable exponents https://arxiv.org/abs/2610.36293 https://arxiv.org/pdf/2610.36293 https://arxiv.org/html/2610.36293

Bastian Harrach, Yi-Hsuan Lin: The Calder\'on problem for the fractional Schr\"odinger equation at a single point https://arxiv.org/abs/2610.36253 https://arxiv.org/pdf/2610.36253 https://arxiv.org/html/2610.36253

David Gontier, Hanne Van Den Bosch: The Keller problem for the lowest positive eigenvalue of Dirac operators with Lorentz scalar potentials https://arxiv.org/abs/2610.36240 https://arxiv.org/pdf/2610.36240 https://arxiv.org/html/2610.36240

Michael Winkler: Uniqueness and large-time continuous dependence in a doubly degenerate nutrient taxis system https://arxiv.org/abs/2610.36117 https://arxiv.org/pdf/2610.36117 https://arxiv.org/html/2610.36117

Amir Moradifam, Oliver P. Waite: Simultaneous Recovery of Wave Speeds and Initial Sources on Graphs via Redundant Frontier Propagation https://arxiv.org/abs/2610.36106 https://arxiv.org/pdf/2610.36106 https://arxiv.org/html/2610.36106

Christopher S. Goodrich, Gabriel Nakhl: On the Luxemburg Functional in the Concave Regime with an Application to Nonlocal Differential Equations https://arxiv.org/abs/2610.35878 https://arxiv.org/pdf/2610.35878 https://arxiv.org/html/2610.35878

[2026-10-28 Wed (UTC), 44 new articles found for mathAP Analysis of PDEs]

Yasheng Lyu: $C^{1,\alpha}$ and $W^{2,1+\varepsilon}$ regularity for the $2$-Hessian equation https://arxiv.org/abs/2610.35839 https://arxiv.org/pdf/2610.35839 https://arxiv.org/html/2610.35839

Stefan Czimek: Characteristic gluing to extremal Kerr horizons and the third law of black hole thermodynamics in vacuum https://arxiv.org/abs/2610.35836 https://arxiv.org/pdf/2610.35836 https://arxiv.org/html/2610.35836

Robert Koirala: Parabolic Rectifiable Reifenberg for Measures https://arxiv.org/abs/2610.35809 https://arxiv.org/pdf/2610.35809 https://arxiv.org/html/2610.35809

Giacomo Colombo, Alessio Figalli: The generic structure of the singular set in the Stefan problem https://arxiv.org/abs/2610.35780 https://arxiv.org/pdf/2610.35780 https://arxiv.org/html/2610.35780

Alberto Bressan, Daniel Lee Harmon, Elio Marconi: On the Nash equilibrium for a model of traffic flow https://arxiv.org/abs/2610.35772 https://arxiv.org/pdf/2610.35772 https://arxiv.org/html/2610.35772