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)