Analysis of PDEs

Authors and titles for August 2025

[1] arXiv:2508.00070 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Infinite-order rogue waves that are small (but not small in $L^2$) Show Chinese title

Title: 无限阶奇异波，其在$L^2$中是小的（但不是很小）

Deniz Bilman, Peter D. Miller

Comments: 82 pages, 9 figures

Subjects: Analysis of PDEs (math.AP) ; Pattern Formation and Solitons (nlin.PS)

[2] arXiv:2508.00115 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Turbulent and intermittent phenomena in a universal total anomalous dissipator Show Chinese title

Title: 湍流和间歇性现象在通用总异常耗散器中

Elias Hess-Childs, Keefer Rowan

Comments: 53 pages, 3 figures

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph) ; Probability (math.PR)

[3] arXiv:2508.00122 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Global solutions to cubic Dirac and Dirac-Klein-Gordon systems on spacetimes close to the Minkowski space Show Chinese title

Title: 三维时空上接近闵可夫斯基空间的三次狄拉克和狄拉克-克莱因-戈登系统的整体解

Seokchang Hong

Comments: 36 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[4] arXiv:2508.00189 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Long-time evolution of forced waves in the low viscosity regime Show Chinese title

Title: 强迫波在低粘性 regime 中的长期演化

Nicolas Frantz, Michał Wrochna

Comments: v1, 20 p

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph) ; Spectral Theory (math.SP)

[5] arXiv:2508.00337 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Nonlocal free boundary minimal surfaces Show Chinese title

Title: 非局部自由边界极小曲面

Marco Badran, Serena Dipierro, Enrico Valdinoci

Comments: 43 pages, 5 figures. All comments are welcome!

Subjects: Analysis of PDEs (math.AP) ; Differential Geometry (math.DG)

[6] arXiv:2508.00444 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Interactions between Wind and Water Waves near Circular Flows Show Chinese title

Title: 近圆周流动处的风与水波相互作用

Changfeng Gui, Sicheng Liu

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph)

[7] arXiv:2508.00529 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Existence of minimal maps of degree one in $W^{\frac1p,p}(\mathbb S^1,\mathbb S^1)$ for $p \in [p',2]$, where $p' \approx 1.13924$ Show Chinese title

Title: $W^{\frac1p,p}(\mathbb S^1,\mathbb S^1)$中度为一的最小映射的存在性，对于$p \in [p',2]$，其中$p' \approx 1.13924$

Tomasz Kostrzewa, Katarzyna Mazowiecka

Subjects: Analysis of PDEs (math.AP)

[8] arXiv:2508.00551 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Long Time Existence of A Flow of Elliptic Systems Show Chinese title

Title: 椭圆系统的流的长时间存在性

Woongbae Park, Lei Zhang

Comments: 20 pages

Subjects: Analysis of PDEs (math.AP)

[9] arXiv:2508.00594 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Well-posedness of the periodic nonlinear Schrödinger equation with concentrated nonlinearity Show Chinese title

Title: 周期非线性薛定谔方程与集中非线性的适定性

Jinyeop Lee, Andrew Rout

Comments: 20 pages, comments welcome

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph)

[10] arXiv:2508.00623 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Harmonic maps and 2D Boussinesq equations Show Chinese title

Title: 调和映射和二维Boussinesq方程

Jian Li, Shaojie Yang

Subjects: Analysis of PDEs (math.AP)

[11] arXiv:2508.00713 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Controllability of diffusive Lotka-Volterra strongly competitive systems under boundary constrained controls Show Chinese title

Title: 具有边界约束控制的扩散Lotka-Volterra强竞争系统的能控性

Elisa Affili, Enrique Zuazua

Comments: 35 pages, 11 figures

Subjects: Analysis of PDEs (math.AP) ; Optimization and Control (math.OC)

[12] arXiv:2508.00714 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Time asymptotics, time regularity and separation rates for Navier-Stokes flows in supercritical solution classes Show Chinese title

Title: 时间渐进行为、时间正则性和超临界解类中纳维-斯托克斯流的分离率

Zachary Bradshaw, Joshua Hudson

Comments: 38 pages

Subjects: Analysis of PDEs (math.AP)

[13] arXiv:2508.01009 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The structure of weak solutions to the Navier-Stokes equations Show Chinese title

Title: 弱解的结构到纳维-斯托克斯方程

Zachary Bradshaw, Igor Kukavica

Comments: 19 pages

Subjects: Analysis of PDEs (math.AP)

[14] arXiv:2508.01094 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Differential Inclusions for Gradient and Symmetrized Gradient Operators Show Chinese title

Title: 梯度和对称梯度算子的微分包含

Nurun Nesha

Subjects: Analysis of PDEs (math.AP)

[15] arXiv:2508.01132 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Almost Periodic Solutions of The Cubic Defocusing Nonlinear Schrödinger Equation Show Chinese title

Title: 三次非聚焦非线性薛定谔方程的几乎周期解

Jake Fillman, Long Li, Milivoje Lukić, Qi Zhou

Comments: 62 pages

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph) ; Dynamical Systems (math.DS) ; Spectral Theory (math.SP)

[16] arXiv:2508.01162 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Existence and regularity of weak solutions for mixed local and nonlocal semilinear elliptic equations Show Chinese title

Title: 混合局部与非局部半线性椭圆方程弱解的存在性与正则性

Fuwei Cheng, Xifeng Su, Jiwen Zhang

Comments: To appear in DCDS

Subjects: Analysis of PDEs (math.AP)

[17] arXiv:2508.01204 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Global Well-posedness for the periodic fractional cubic NLS in 1D Show Chinese title

Title: 一维周期分数三次NLS的全局适定性

Alexandre Megretski, Nikolaos Skouloudis

Subjects: Analysis of PDEs (math.AP)

[18] arXiv:2508.01336 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Large-Amplitude Steady Rotational Solitary Waves Under Normal Electric Fields Show Chinese title

Title: 大振幅稳态旋转孤立波在正常电场下

Tingting Feng, Yong Zhang, Zhitao Zhang

Comments: 49pp, 4 figures

Subjects: Analysis of PDEs (math.AP)

[19] arXiv:2508.01364 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Nonlocal-to-local convergence of the $p$-Biharmonic evolution equation with the Dirichlet boundary condition Show Chinese title

Title: 非局部到局部的$p$-双调和演化方程在狄利克雷边界条件下的收敛性

Kehan Shi, Yi Ran

Subjects: Analysis of PDEs (math.AP)

[20] arXiv:2508.01369 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Cauchy problems for time-space fractional coupled chemotaxis-fluid equations in Besov-Morrey spaces Show Chinese title

Title: 时间-空间分数阶耦合趋化-流体方程的柯西问题在Besov-Morrey空间中

Yong Zhen Yang, Yong Zhou, Xiao Lin Liu

Comments: 31 pages

Subjects: Analysis of PDEs (math.AP)

[21] arXiv:2508.01393 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth Show Chinese title

Title: 几乎极小值在单相问题中具有广义Orlicz增长的Lipschitz正则性

Chiara Leone, Giovanni Scilla, Francesco Solombrino, Anna Verde

Comments: arXiv admin note: text overlap with arXiv:2405.06625

Subjects: Analysis of PDEs (math.AP)

[22] arXiv:2508.01400 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Core detection via Ricci curvature flows on weighted graphs Show Chinese title

Title: 通过加权图上的里奇曲率流进行核心检测

Juan Zhao, Jicheng Ma, Yunyan Yang, Liang Zhao

Comments: 17 pages

Subjects: Analysis of PDEs (math.AP)

[23] arXiv:2508.01436 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Parabolic-elliptic and indirect-direct simplifications in chemotaxis systems driven by indirect signalling Show Chinese title

Title: 抛物-椭圆型和间接-直接简化在由间接信号驱动的趋化系统中的应用

Le Trong Thanh Bui, Thi Kim Loan Huynh, Bao Quoc Tang, Bao-Ngoc Tran

Subjects: Analysis of PDEs (math.AP)

[24] arXiv:2508.01440 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Dissipation concentration in two-dimensional fluids Show Chinese title

Title: 二维流体中的耗散集中

Luigi De Rosa, Jaemin Park

Comments: 35 Pages

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph) ; Fluid Dynamics (physics.flu-dyn)

[25] arXiv:2508.01528 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the rate of convergence in superquadratic Hamilton--Jacobi equations with state constraints Show Chinese title

Title: 关于带有状态约束的超二次Hamilton--Jacobi方程的收敛速度

Prerona Dutta, Khai T. Nguyen, Son N.T. Tu

Comments: 23 pages

Subjects: Analysis of PDEs (math.AP)

[26] arXiv:2508.01634 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations Show Chinese title

Title: 一维双曲可压缩纳维-斯托克斯方程的初边值问题

Yuxi Hu, Yachun Li

Subjects: Analysis of PDEs (math.AP)

[27] arXiv:2508.01756 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Partial regularity of optimal transport with Coulomb cost Show Chinese title

Title: 最优传输的局部正则性与库仑代价

Gero Friesecke, Tobias Ried

Comments: 19 pages

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph)

[28] arXiv:2508.01809 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Evolution problem for the $1$-Laplacian with mixed boundary conditions Show Chinese title

Title: $1$-拉普拉斯方程的演化问题与混合边界条件

N. Igbida, J.M. Mazón, J. Toledo

Subjects: Analysis of PDEs (math.AP)

[29] arXiv:2508.01811 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Uniform estimates of Landau-de Gennes minimizers in the vanishing elasticity limit with line defects Show Chinese title

Title: 在存在线缺陷的渐近弹性极限中Landau-de Gennes极小值的统一估计

Haotong Fu, Huaijie Wang, Wei Wang

Comments: 16 pages, comments are welcome!

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph)

[30] arXiv:2508.01814 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Front Tracking for Scalar Conservation Laws with Spatially Heterogeneous Flux Show Chinese title

Title: 标量守恒定律的前端跟踪方法与空间非均匀通量

Parasuram Venkatesh

Comments: 17 pages

Subjects: Analysis of PDEs (math.AP)

[31] arXiv:2508.01849 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: A Lane-Emden system of free boundary type: existence, uniqueness and monotonicity of solutions Show Chinese title

Title: 一种自由边界类型的Lane-Emden系统：解的存在性、唯一性和单调性

Daniele Bartolucci, Yeyao Hu, Aleks Jevnikar, Juncheng Wei, Wen Yang

Comments: 31 pages

Subjects: Analysis of PDEs (math.AP)

[32] arXiv:2508.01868 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Regularity of the global attractor for the 2D incompressible Navier-Stokes equations on channel-like domains Show Chinese title

Title: 二维不可压缩Navier-Stokes方程在类似通道区域上的全局吸引子的正则性

Ricardo M. S. Rosa

Subjects: Analysis of PDEs (math.AP)

[33] arXiv:2508.01919 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The cubic NLS on the line with an inverse square potential Show Chinese title

Title: 线上的三次NLS与反平方势

Joachim Krieger, Wilhelm Schlag, Klaus Widmayer

Subjects: Analysis of PDEs (math.AP)

[34] arXiv:2508.01940 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the behavior of the ground state energy under weak perturbation of critical quasilinear operators in $\mathbb{R}^N$ Show Chinese title

Title: 在临界拟线性算子的弱扰动下基态能量的行为在$\mathbb{R}^N$中

Ujjal Das, Hynek Kovařík, Yehuda Pinchover

Comments: 19 pages

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph) ; Functional Analysis (math.FA) ; Spectral Theory (math.SP)

[35] arXiv:2508.01955 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Asymptotic behavior of bifurcation curves of nonlocal logistic equation of population dynamics Show Chinese title

Title: 非局部种群动力学逻辑斯蒂方程分岔曲线的渐近行为

Tetsutaro Shibata

Subjects: Analysis of PDEs (math.AP)

[36] arXiv:2508.02021 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Asymptotic analysis of the Allen-Cahn equation with dynamic boundary conditions of Cahn-Hilliard type Show Chinese title

Title: Allen-Cahn方程与Cahn-Hilliard型动态边界条件的渐近分析

Pierluigi Colli, Takeshi Fukao

Comments: 35 pages

Subjects: Analysis of PDEs (math.AP)

[37] arXiv:2508.02139 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Asymptotic behavior of the least energy solutions to the Choquard equation in dimension two Show Chinese title

Title: 二维Choquard方程最小能量解的渐近行为

Jinkai Gao, Xinfu Li, Shiwang Ma

Comments: 40pages

Subjects: Analysis of PDEs (math.AP)

[38] arXiv:2508.02224 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Abstract Formulation of Mean-Field Models and Propagation of Chaos Show Chinese title

Title: 摘要 平均场模型的表述与混沌传播

Tau Shean Lim, Chao Dun Teoh

Comments: 96 pages

Subjects: Analysis of PDEs (math.AP) ; Probability (math.PR)

[39] arXiv:2508.02226 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Sparse Gabor representations of metaplectic operators: controlled exponential decay and Schrödinger confinement Show Chinese title

Title: 稀疏Gabor表示的元射影算子：受控指数衰减和Schrödinger局域化

Elena Cordero, Gianluca Giacchi, Edoardo Pucci, Salvatore Ivan Trapasso

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph) ; Functional Analysis (math.FA)

[40] arXiv:2508.02286 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Nondegeneracy of bubble solutions to the Choquard equation in two dimension Show Chinese title

Title: 双维Choquard方程的泡解的非退化性

Jinkai Gao, Xinfu Li, Shiwang Ma

Comments: 20pages

Subjects: Analysis of PDEs (math.AP)

[41] arXiv:2508.02449 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Some new Liouville type theorems for the 3D stationary magneto-micropolar fluid equations Show Chinese title

Title: 一些新的三维定常磁微极流体方程的Liouville型定理

Zhibing Zhang, Qian Zu

Comments: 20 pages

Subjects: Analysis of PDEs (math.AP)

[42] arXiv:2508.02491 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations Show Chinese title

Title: 完全非线性各向异性演化方程的存在性、比较原理和唯一性

Antonella Nastasi, Emiliano Peña Ayala, Matias Vestberg

Comments: 47 pages

Subjects: Analysis of PDEs (math.AP)

[43] arXiv:2508.02608 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Dynamics of subcritical threshold solutions for the 4d energy-critical NLS Show Chinese title

Title: 4维能量临界NLS的次临界阈值解的动力学

Zuyu Ma, Changxing Miao, Jason Murphy, Jiqiang Zheng

Comments: 35 pages

Subjects: Analysis of PDEs (math.AP)

[44] arXiv:2508.02796 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Global Dynamics of the Non-Radial Energy-Critical Inhomogeneous Biharmonic NLS Show Chinese title

Title: 非径向能量临界非均匀双调和NLS的全局动力学

Carlos M. Guzmán, Sahbi Keraani, Chengbin Xu

Comments: 23 pages

Subjects: Analysis of PDEs (math.AP)

[45] arXiv:2508.02933 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the Rayleigh--B\' enard convection problem for rotating fluids Show Chinese title

Title: 关于旋转流体的雷利-贝纳德对流问题

Francesco Fanelli, Eduard Feireisl

Comments: Submitted

Subjects: Analysis of PDEs (math.AP) ; Fluid Dynamics (physics.flu-dyn)

[46] arXiv:2508.03134 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: A variational approach to the volume-preserving anisotropic mean curvature flow in 2D Show Chinese title

Title: 一种用于二维体积保持各向异性平均曲率流的变分方法

Andrea Kubin, Domenico Angelo La Manna, Enrico Pasqualetto

Comments: 43 pages

Subjects: Analysis of PDEs (math.AP)

[47] arXiv:2508.03195 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Discrete Caffarelli-Kohn-Nirenberg inequalities and ground state solutions to nonlinear elliptic equations Show Chinese title

Title: 离散Caffarelli-Kohn-Nirenberg不等式和非线性椭圆方程的基态解

Fengwen Han, Ruowei Li

Comments: 14 pages, 4 figures

Subjects: Analysis of PDEs (math.AP)

[48] arXiv:2508.03198 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Zero-relaxation and vanishing-damping limits of pressureless Euler system Show Chinese title

Title: 零松弛和消 damping 限制的无压 Euler 系统

Guirong Tang

Comments: 10 pages

Subjects: Analysis of PDEs (math.AP)

[49] arXiv:2508.03214 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Modeling Carreau fluid flows through a very thin porous medium Show Chinese title

Title: 通过非常薄的多孔介质的Carreau流体流动建模

María Anguiano, Matthieu Bonnivard (ECL, ICJ, MMCS), Francisco J. Suárez-Grau

Subjects: Analysis of PDEs (math.AP)

[50] arXiv:2508.03225 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Homogenization of flow in inflatable periodic structures with nonlinear effects Show Chinese title

Title: 可充气周期结构中考虑非线性效应的流动均质化

Eduard Rohan, Vladimír Lukeš

Subjects: Analysis of PDEs (math.AP) ; Computational Physics (physics.comp-ph)