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)