Analysis of PDEs

Authors and titles for December 2022

[1] arXiv:2212.00064 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Non-flat conformal blow-up profiles for the 1D critical nonlinear Schrödinger equation Show Chinese title

Title: 一维临界非线性薛定谔方程的非平坦共形爆破轮廓

Yvan Martel, Ivan Naumkin

Journal-ref: Tunisian J. Math. 5 (2023) 505-572

Subjects: Analysis of PDEs (math.AP)

[2] arXiv:2212.00103 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Quadratically Regularized Optimal Transport: nearly optimal potentials and convergence of discrete Laplace operators Show Chinese title

Title: 二次正则化最优传输：几乎最优势函数和离散拉普拉斯算子的收敛性

Gilles Mordant, Stephen Zhang

Subjects: Analysis of PDEs (math.AP) ; Probability (math.PR) ; Statistics Theory (math.ST) ; Machine Learning (stat.ML)

[3] arXiv:2212.00117 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Well-posedness for the surface quasi-geostrophic front equation Show Chinese title

Title: 适用于表面准地转前沿方程的适定性

Albert Ai, Ovidiu-Neculai Avadanei

Comments: 36 pages. We have added some additional references, and fixed some minor typos

Subjects: Analysis of PDEs (math.AP)

[4] arXiv:2212.00129 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Invariant measures for stochastic parabolic-hyperbolic equations in the space of almost periodic functions: Lipschitz flux case Show Chinese title

Title: 随机抛物-双曲方程在几乎周期函数空间中的不变测度：Lipschitz通量情形

Claudia Espitia, Hermano Frid, Daniel Marroquin

Comments: arXiv admin note: substantial text overlap with arXiv:2209.00479

Subjects: Analysis of PDEs (math.AP)

[5] arXiv:2212.00132 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Mass concentration for Ergodic Choquard Mean-Field Games Show Chinese title

Title: 遍历Choquard平均场博弈的质量浓度

Chiara Bernardini

Comments: accepted in ESAIM: COCV

Subjects: Analysis of PDEs (math.AP)

[6] arXiv:2212.00155 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Unique continuation and time decay for a higher-order water wave model Show Chinese title

Title: 高阶水波模型的唯一延拓和时间衰减

Ademir F. Pazoto, Miguel Soto

Subjects: Analysis of PDEs (math.AP)

[7] arXiv:2212.00158 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Biorthogonal functions for complex exponentials and an application to the controllability of the Kawahara equation via a moment approach Show Chinese title

Title: 复指数的双正交函数及其在通过矩方法研究Kawahara方程能控性中的应用

Ademir F. Pazoto, Miguel Soto

Subjects: Analysis of PDEs (math.AP)

[8] arXiv:2212.00224 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Neumann problem on a torus Show Chinese title

Title: 环面上的诺伊曼问题

Z. Ashtab, J. Morais, R. M. Porter

Comments: 21 pages, 3 figures, 3 tables

Subjects: Analysis of PDEs (math.AP)

[9] arXiv:2212.00276 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Phase Transition for Discrete Non Linear Schrödinger Equation in Three and Higher Dimensions Show Chinese title

Title: 三维及更高维离散非线性薛定谔方程的相变

Partha S. Dey, Kay Kirkpatrick, Kesav Krishnan

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

[10] arXiv:2212.00299 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: The viscous damping of three dimensional spherical gas bubble inside unbounded compressible liquid Show Chinese title

Title: 三维球形气体气泡在无限可压缩液体中的粘性阻尼

Lifeng Zhao, Liangchen Zou

Subjects: Analysis of PDEs (math.AP)

[11] arXiv:2212.00405 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: A localized criterion for the regularity of solutions to Navier-Stokes equations Show Chinese title

Title: 一种用于判断纳维-斯托克斯方程解的正则性的局部准则

Congming Li, Chenkai Liu, Ran Zhuo

Journal-ref: Journal of Differential Equations 415 (2025) 148-156

Subjects: Analysis of PDEs (math.AP)

[12] arXiv:2212.00413 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: The interior Backus problem: local resolution in Hölder spaces Show Chinese title

Title: 内部Backus问题：Hölder空间中的局部解

Toru Kan, Rolando Magnanini, Michiaki Onodera

Comments: 21 pages; several small changes done, after suggestion of the anonymous referee

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

[13] arXiv:2212.00429 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On the regularity of weak solutions to time-periodic Navier--Stokes equations in exterior domains Show Chinese title

Title: 关于外区域中时间周期性纳维-斯托克斯方程弱解的正则性

Thomas Eiter

Subjects: Analysis of PDEs (math.AP)

[14] arXiv:2212.00456 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Active vector models generalizing 3D Euler and electron--MHD equations Show Chinese title

Title: 活动向量模型推广三维欧拉和电子--MHD方程

Dongho Chae, In-Jee Jeong

Comments: 18 pages, to appear in Nonlinearity

Subjects: Analysis of PDEs (math.AP)

[15] arXiv:2212.00604 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On the inviscid limit of the singular stochastic complex Ginzburg-Landau equation at statistical equilibrium Show Chinese title

Title: 关于统计平衡下奇异随机复Ginzburg-Landau方程的无粘极限

Younes Zine

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

[16] arXiv:2212.00705 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Inertial evolution of non-linear viscoelastic solids in the face of (self-)collision Show Chinese title

Title: 非线性粘弹性固体在（自）碰撞面前的惯性演化

Antonín Češík, Giovanni Gravina, Malte Kampschulte

Comments: 35 pages, with corrections

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

[17] arXiv:2212.00750 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On existence and stability results for normalized ground states of mass-subcritical biharmonic NLS on $\mathbb{R}^d\times\mathbb{T}^n$ Show Chinese title

Title: 关于质量次临界双调和NLS在$\mathbb{R}^d\times\mathbb{T}^n$上归一化基态的存在性和稳定性结果

Hichem Hajaiej, Yongming Luo, Linjie Song

Comments: The authors welcome any comments

Subjects: Analysis of PDEs (math.AP)

[18] arXiv:2212.00754 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On scalar-type standing-wave solutions to systems of nonlinear Schrödinger equations Show Chinese title

Title: 关于非线性薛定谔方程组的标量型驻波解

Satoshi Masaki

Comments: 46 page, no figure

Subjects: Analysis of PDEs (math.AP)

[19] arXiv:2212.00835 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Multipolar potentials and weighted Hardy inequalities Show Chinese title

Title: 多极势和加权 Hardy 不等式

A.Canale

Subjects: Analysis of PDEs (math.AP)

[20] arXiv:2212.00874 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Korn's inequality in anisotropic Sobolev spaces Show Chinese title

Title: 各向异性Sobolev空间中的Korn不等式

Gonzalo A. Benavides, Sebastián A. Domínguez-Rivera

Journal-ref: J. Appl. Anal. 29 (2023) no. 2 367-377

Subjects: Analysis of PDEs (math.AP) ; Functional Analysis (math.FA)

[21] arXiv:2212.00976 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Pattern formation in 2d stochastic anisotropic Swift-Hohenberg equation Show Chinese title

Title: 二维随机各向异性Swift-Hohenberg方程中的模式形成

Reika Fukuizumi, Yueyuan Gao, Guido Schneider, Motomitsu Takahashi

Comments: 24 pages, 8 figures

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

[22] arXiv:2212.01029 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Equivalence between the energy decay of fractional damped Klein-Gordon equations and geometric conditions for damping coefficients Show Chinese title

Title: 分数阻尼克莱因-戈登方程的能量衰减与阻尼系数的几何条件之间的等价性

Kotaro Inami, Soichiro Suzuki

Comments: 9 pages. We corrected several mistakes in the previous version

Subjects: Analysis of PDEs (math.AP)

[23] arXiv:2212.01079 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Quantitative weak propagation of chaos for stable-driven McKean-Vlasov SDEs Show Chinese title

Title: 稳定驱动的麦考恩-弗拉索夫随机微分方程的定量弱传播混沌

Thomas Cavallazzi (IRMAR)

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

[24] arXiv:2212.01087 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: The influence of nucleus mechanics in modelling adhesion-independent cell migration in structured and confined environments Show Chinese title

Title: 核力学在结构化和受限环境中无粘附细胞迁移建模中的影响

Chiara Giverso, Gaspard Jankowiak, Luigi Preziosi, Christian Schmeiser

Subjects: Analysis of PDEs (math.AP) ; Cell Behavior (q-bio.CB)

[25] arXiv:2212.01142 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Existence of minimizers for the Dirac-Fock model of crystals Show Chinese title

Title: 晶体的Dirac-Fock模型的极小值的存在性

Isabelle Catto (CEREMADE), Long Meng (CERMICS), Eric Paturel (LMJL), Eric Séré (CEREMADE)

Journal-ref: Archive for Rational Mechanics and Analysis 248 (2024), issue 4, article 63

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

[26] arXiv:2212.01184 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Global stability for nonlinear wave equations satisfying a generalized null condition Show Chinese title

Title: 非线性波动方程的全局稳定性满足广义零条件

John Anderson, Samuel Zbarsky

Comments: 43 pages, 3 figures

Subjects: Analysis of PDEs (math.AP)

[27] arXiv:2212.01212 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: The Cauchy problem for an inviscid and non-diffusive Oldroyd-B model in two dimensions Show Chinese title

Title: 二维无粘性非扩散Oldroyd-B模型的柯西问题

Yuanzhi Tu, Yinghui Wang, Huanyao Wen

Subjects: Analysis of PDEs (math.AP)

[28] arXiv:2212.01221 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Localized and degenerate controls for the incompressible Navier-Stokes system Show Chinese title

Title: 局部化和退化的不可压缩Navier-Stokes系统的控制

Vahagn Nersesyan, Manuel Rissel

Comments: 38 pages, 7 figures, to be published in Communications on Pure and Applied Mathematics

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

[29] arXiv:2212.01339 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Hölder continuity of weak solutions to an elliptic-parabolic system modeling biological transportation network Show Chinese title

Title: 弱解在模拟生物运输网络的椭圆-抛物线系统中的Hölder连续性

Xiangsheng Xu

Subjects: Analysis of PDEs (math.AP)

[30] arXiv:2212.01492 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: From Navier-Stokes millennium-prize problem to soft matter computing Show Chinese title

Title: 从纳维-斯托克斯千禧年问题到软物质计算

Saksham Sharma, Giulia Marcucci

Comments: 3 figures

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

[31] arXiv:2212.01499 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Neumann Boundary Problem of Second Order Parabolic Quasi-Linear System with Variable Coefficient on a Vector Bundle Show Chinese title

Title: 二阶抛物拟线性系统在向量丛上的变系数Neumann边界问题

Zonglin Jia

Subjects: Analysis of PDEs (math.AP)

[32] arXiv:2212.01530 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Nonlocal Mean Curvature with Integrable Kernel Show Chinese title

Title: 非局部平均曲率与可积核

Animesh Biswas, Mikil Foss, Petronela Radu

Subjects: Analysis of PDEs (math.AP) ; Classical Analysis and ODEs (math.CA)

[33] arXiv:2212.01727 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Necessity of a logarithmic estimate for hypoellipticity of some degenerately elliptic operators Show Chinese title

Title: 某些退化椭圆算子的拟微分算子的对数估计的必要性

Timur Akhunov, Lyudmila Korobenko

Comments: Accepted for publication at the Journal of Mathematical Analysis and Applications. 23 pages

Subjects: Analysis of PDEs (math.AP)

[34] arXiv:2212.01805 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system Show Chinese title

Title: 抛物面在壳型限制下的解耦不等式及其在周期 Zakharov 系统中的应用

Shinya Kinoshita, Shohei Nakamura, Akansha Sanwal

Comments: Updated version

Subjects: Analysis of PDEs (math.AP) ; Classical Analysis and ODEs (math.CA)

[35] arXiv:2212.01815 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Inverse problem of recovering the time-dependent damping and nonlinear terms for wave equations Show Chinese title

Title: 波动方程中恢复时变阻尼和非线性项的反问题

Song-Ren Fu

Subjects: Analysis of PDEs (math.AP)

[36] arXiv:2212.01835 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Ill/well-posedness of non-diffusive active scalar equations with physical applications Show Chinese title

Title: 无扩散主动标量方程的适定性及其物理应用

Susan Friedlander, Anthony Suen, Fei Wang

Subjects: Analysis of PDEs (math.AP)

[37] arXiv:2212.01869 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Degenerate bifurcations of two-fold doubly-connected uniformly rotating vortex patches Show Chinese title

Title: 退化的两重连通均匀旋转涡旋片分岔

Yuchen Wang, Xin Xu, Maolin Zhou

Subjects: Analysis of PDEs (math.AP)

[38] arXiv:2212.01879 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Dynamical observers for parabolic equations with spatial point measurements Show Chinese title

Title: 抛物方程的动态观测器与空间点测量

Sérgio S. Rodrigues, Dagmawi A. Seifu

Comments: 9 figures; 20 subfigures

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

[39] arXiv:2212.01950 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Gradient regularity and first-order potential estimates for a class of nonlocal equations Show Chinese title

Title: 非局部方程一类的梯度正则性和一阶势估计

Tuomo Kuusi, Simon Nowak, Yannick Sire

Comments: 56 pages. To appear in American Journal of Mathematics

Subjects: Analysis of PDEs (math.AP)

[40] arXiv:2212.02023 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: A survey on Newhouse thickness, fractal intersections and patterns Show Chinese title

Title: Newhouse厚度的综述，分形交集和模式

Alexia Yavicoli

Comments: 26 pages

Subjects: Analysis of PDEs (math.AP) ; Classical Analysis and ODEs (math.CA) ; Dynamical Systems (math.DS)

[41] arXiv:2212.02113 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations Show Chinese title

Title: 三维普朗特边界层方程的Gevrey-2解的长时间存在性

Xinghong Pan, Chao-Jiang Xu

Subjects: Analysis of PDEs (math.AP)

[42] arXiv:2212.02116 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure Show Chinese title

Title: 完美塑性板的周期性微观结构的有效准静态演化模型

Marin Bužančić, Elisa Davoli, Igor Velčić

Comments: 46 pages

Subjects: Analysis of PDEs (math.AP)

[43] arXiv:2212.02153 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Regularity estimates for diffusion semigroups on weighted Sobolev spaces Show Chinese title

Title: 加权Sobolev空间上扩散半群的正则性估计

Maxime Hauray, Yen V. Vuong

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

[44] arXiv:2212.02160 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Compactness property of the linearized Boltzmann collision operator for a multicomponent polyatomic gas Show Chinese title

Title: 多组分多原子气体线性化玻尔兹曼碰撞算子的紧性性质

Niclas Bernhoff

Comments: 32 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:2201.01365, arXiv:2201.01377

Journal-ref: J. Math. Anal. Appl. 537, 128265 (2024)

Subjects: Analysis of PDEs (math.AP)

[45] arXiv:2212.02195 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Stability of Cnoidal Waves for the Damped Nonlinear Schrödinger Equation Show Chinese title

Title: CNoidal波在阻尼非线性薛定谔方程中的稳定性

Paolo Antonelli, Boris Shakarov

Comments: 34 pages, comments are welcome. v2: minor modifications to fix the final part of the main proof

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

[46] arXiv:2212.02262 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Invariant Manifolds for the Thin Film Equation Show Chinese title

Title: 不变流形对于薄膜方程

Christian Seis, Dominik Winkler

Subjects: Analysis of PDEs (math.AP)

[47] arXiv:2212.02279 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Fractional derivatives: Fourier, elephants, memory effects, viscoelastic materials and anomalous diffusions Show Chinese title

Title: 分数阶导数：傅里叶，大象，记忆效应，粘弹性材料和异常扩散

P. R. Stinga

Comments: 14 pages, 2 figures. To appear in Notices of the American Mathematical Society

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

[48] arXiv:2212.02427 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On the stability of the Kawahara equation with a distributed infinite memory Show Chinese title

Title: 关于具有分布无限记忆的Kawahara方程的稳定性

Roberto de A. Capistrano Filho, Boumediène Chentouf, Isadora Maria de Jesus

Comments: 16 pages, comments are welcome

Subjects: Analysis of PDEs (math.AP)

[49] arXiv:2212.02481 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: The uncertainty principle and energy decay estimates of the fractional Klein-Gordon equation with space-dependent damping Show Chinese title

Title: 分数阶 Klein-Gordon 方程的不确定性原理和能量衰减估计与空间依赖阻尼

Soichiro Suzuki

Comments: 26 pages. Added an explicit estimate of $\omega$ in Theorem 1.2 and simplified arguments in Section 3.2. Also fixed some typos

Subjects: Analysis of PDEs (math.AP) ; Classical Analysis and ODEs (math.CA)

[50] arXiv:2212.02641 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Functional inequalities on symmetric spaces of noncompact type and applications Show Chinese title

Title: 非紧类型对称空间上的函数不等式及其应用

Aidyn Kassymov, Vishvesh Kumar, Michael Ruzhansky

Comments: 35 pages, revised version incorporating the comments of the journal reviewers. To appear in Journal of Geometric Analysis

Subjects: Analysis of PDEs (math.AP)