Analysis of PDEs

Authors and titles for August 2021

[1] arXiv:2108.00038 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On static and evolutionary homogenization in crystal plasticity for stratified composites Show Chinese title

Title: 关于层状复合材料晶体塑性中的静态和演化均质化

Elisa Davoli, Carolin Kreisbeck

Subjects: Analysis of PDEs (math.AP)

[2] arXiv:2108.00093 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Rigidity for general semiconvex entire solutions to the sigma-2 equation Show Chinese title

Title: 一般半凸整体解的刚性性质对于sigma-2方程

Ravi Shankar, Yu Yuan

Subjects: Analysis of PDEs (math.AP)

[3] arXiv:2108.00120 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Critical threshold for global regularity of Euler-Monge-Ampère system with radial symmetry Show Chinese title

Title: 欧拉-蒙日-阿普斯泰系统在径向对称下的全局正则性临界阈值

Eitan Tadmor, Changhui Tan

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

[4] arXiv:2108.00183 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: The linear stability for a free boundary problem modeling multi-layer tumor growth with time delay Show Chinese title

Title: 多层肿瘤生长时滞自由边界问题的线性稳定性

Wenhua He, Ruixiang Xing, Bei Hu

Subjects: Analysis of PDEs (math.AP)

[5] arXiv:2108.00248 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Threshold scattering for the focusing NLS with a repulsive Dirac delta potential Show Chinese title

Title: 聚焦NLS的阈值散射与排斥型狄拉克δ势

Alex H. Ardila, Takahisa Inui

Subjects: Analysis of PDEs (math.AP)

[6] arXiv:2108.00258 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Analytic characterization of monotone Hopf-harmonics Show Chinese title

Title: 单调霍普夫调和的解析特征

Ilmari Kangasniemi, Aleksis Koski, Jani Onninen

Comments: 27 pages, 1 figure

Journal-ref: Calc. Var. Partial Differential Equations, 61(4), 2022

Subjects: Analysis of PDEs (math.AP) ; Complex Variables (math.CV)

[7] arXiv:2108.00299 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Coupled and uncoupled sign-changing spikes of singularly perturbed elliptic systems Show Chinese title

Title: 耦合与非耦合变号尖峰的奇异摄动椭圆系统

Mónica Clapp, Mayra Soares

Subjects: Analysis of PDEs (math.AP)

[8] arXiv:2108.00307 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schrödinger equations Show Chinese title

Title: 非保守非线性薛定谔方程可积子系统的准周期性与爆破

Jonathan Jaquette

Comments: 24 pages, 1 figure

Subjects: Analysis of PDEs (math.AP) ; Dynamical Systems (math.DS)

[9] arXiv:2108.00445 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: In search of local singularities in ideal potential flows with free surface Show Chinese title

Title: 寻找理想势流中的局部奇点的自由表面

Jian-Guo Liu, Robert L. Pego

Comments: 38 pages, 10 figures

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

[10] arXiv:2108.00448 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Small order asymptotics for nonlinear fractional problems Show Chinese title

Title: 非线性分数问题的小阶渐近行为

Víctor Hernández-Santamaría, Alberto Saldaña

Comments: Revised version, 27 pages

Subjects: Analysis of PDEs (math.AP)

[11] arXiv:2108.00450 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Fractional total variation denoising model with $L^1$ fidelity Show Chinese title

Title: 带有$L^1$保真度的分数全变分去噪模型

Konstantinos Bessas

Comments: 22 pages. Minor corrections

Subjects: Analysis of PDEs (math.AP)

[12] arXiv:2108.00464 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Hölder regularity for non-variational porous media type equations Show Chinese title

Title: Hölder正则性对于非变分型多孔介质类型方程

Héctor A. Chang-Lara, Makson S. Santos

Subjects: Analysis of PDEs (math.AP)

[13] arXiv:2108.00558 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: The occurrence of surface tension gradient discontinuities and zero mobility for Allen-Cahn and curvature flows in periodic media Show Chinese title

Title: 周期介质中Allen-Cahn和曲率流的表面张力梯度不连续性和零迁移率的发生

William M Feldman, Peter S Morfe

Comments: 56 pages, multiple revisions made thanks to comments from anonymous reviewer

Subjects: Analysis of PDEs (math.AP)

[14] arXiv:2108.00579 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Global solvability of a predator-prey model with predator-taxis and prey-taxis Show Chinese title

Title: 捕食者-被捕食者模型在捕食者趋化性和被捕食者趋化性下的全局可解性

Jianping Wang, Mingxin Wang

Comments: 13 pages

Subjects: Analysis of PDEs (math.AP)

[15] arXiv:2108.00590 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Global existence and stabilization in a forager-exploiter model with general logistic sources Show Chinese title

Title: 具有通用逻辑斯蒂源的觅食者-剥削者模型的整体存在性和稳定性

Jianping Wang

Subjects: Analysis of PDEs (math.AP)

[16] arXiv:2108.00631 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Regularity of a Parabolic System Involving Curl Show Chinese title

Title: 抛物系统中旋度的正则性

Xing-Bin Pan

Subjects: Analysis of PDEs (math.AP)

[17] arXiv:2108.00656 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Parabolic weighted Sobolev-Poincaré type inequalities Show Chinese title

Title: 抛物线加权Sobolev-Poincaré型不等式

Lars Diening, Mikyoung Lee, Jihoon Ok

Comments: 12pages, to appear in Nonlinear Analysis

Subjects: Analysis of PDEs (math.AP)

[18] arXiv:2108.00673 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects Show Chinese title

Title: 反应扩散系统中在仅涉及交叉吸收效应的放松假设下的质量控制全局存在性

Johannes Lankeit, Michael Winkler

Subjects: Analysis of PDEs (math.AP)

[19] arXiv:2108.00711 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Existence of ground state solutions to some Nonlinear Schrödinger equations on lattice graphs Show Chinese title

Title: 某些格点图上非线性薛定谔方程的基态解的存在性

Bobo Hua, Wendi Xu

Comments: 19 pages

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

[20] arXiv:2108.00767 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Projective properties of Divergence-free symmetric tensors, and new dispersive estimates in gas dynamics Show Chinese title

Title: 散度为零的对称张量的射影性质以及气体动力学中的新色散估计

Denis Serre (UMPA-ENSL)

Subjects: Analysis of PDEs (math.AP) ; Classical Physics (physics.class-ph)

[21] arXiv:2108.00787 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Convergence rate for the incompressible limit of nonlinear diffusion-advection equations Show Chinese title

Title: 非线性扩散-对流方程的不可压缩极限的收敛速率

Noemi David, Tomasz Dębiec, Benoît Perthame

Subjects: Analysis of PDEs (math.AP)

[22] arXiv:2108.00891 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Rayleigh quotients of the level set manifolds related to the nonlinear PDE Show Chinese title

Title: 与非线性PDE相关的水平集流形的Rayleigh商

Yavdat Il'yasov

Comments: 20 pages, 4 figures

Subjects: Analysis of PDEs (math.AP)

[23] arXiv:2108.00915 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On sharp scattering threshold for the mass-energy double critical NLS via double track profile decomposition Show Chinese title

Title: 关于通过双轨道轮廓分解的质量-能量双重临界NLS的精确散射阈值

Yongming Luo

Subjects: Analysis of PDEs (math.AP)

[24] arXiv:2108.00948 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents Show Chinese title

Title: 关于带有负指数的非线性三调和和双调和方程正解的性质

Wei Dai, Jingze Fu

Subjects: Analysis of PDEs (math.AP)

[25] arXiv:2108.01128 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Time analyticity for nonlocal parabolic equations Show Chinese title

Title: 非局部抛物方程的时间解析性

Hongjie Dong, Chulan Zeng, Qi S. Zhang

Comments: We change the title here since 'nonlocal parabolic equations' is more suitable than 'fractional heat equation'

Subjects: Analysis of PDEs (math.AP)

[26] arXiv:2108.01150 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Sharp boundary and global regularity for degenerate fully nonlinear elliptic equations Show Chinese title

Title: 退化完全非线性椭圆方程的尖锐边界和整体正则性

Damião Araújo, Boyan Sirakov

Comments: 19 pages

Subjects: Analysis of PDEs (math.AP)

[27] arXiv:2108.01163 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Decay for Skyrme wave maps Show Chinese title

Title: Skyrme波映射的衰减

Miguel A. Alejo, Christopher Maulén

Comments: 27 pages

Subjects: Analysis of PDEs (math.AP)

[28] arXiv:2108.01244 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Level-set forced mean curvature flow with the Neumann boundary condition Show Chinese title

Title: 带Neumann边界条件的水平集强制平均曲率流

Jiwoong Jang, Dohyun Kwon, Hiroyoshi Mitake, Hung Vinh Tran

Comments: 26 pages, 3 figures

Journal-ref: Journal de Math\'ematiques Pures et Appliqu\'ees. Volume 168, December 2022, Pages 143-167

Subjects: Analysis of PDEs (math.AP)

[29] arXiv:2108.01253 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: A perturbative approach to the parabolic optimal transport problem for non-MTW costs Show Chinese title

Title: 一种针对非MTW成本的抛物型最优传输问题的摄动方法

Farhan Abedin, Jun Kitagawa

Comments: Comments welcome!

Subjects: Analysis of PDEs (math.AP)

[30] arXiv:2108.01293 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: The existence of solutions for nonlinear elliptic equations: Simple proofs and extensions of a paper by Y. Shi Show Chinese title

Title: 非线性椭圆方程解的存在性：Y. Shi论文的简单证明和扩展

Xiaodan Xu, Rafael de la Llave, Fenfen Wang

Comments: 34 pages

Subjects: Analysis of PDEs (math.AP) ; Dynamical Systems (math.DS)

[31] arXiv:2108.01319 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Regularity for critical points of convex functionals on Hessian spaces Show Chinese title

Title: Hessian空间上凸泛函的临界点的正则性

Arunima Bhattacharya

Subjects: Analysis of PDEs (math.AP)

[32] arXiv:2108.01321 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Dynamics of Ginzburg-Landau vortices for vector fields on surfaces Show Chinese title

Title: Ginzburg-Landau涡旋在曲面上矢量场的动力学

Giacomo Canevari, Antonio Segatti

Comments: 71 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[33] arXiv:2108.01414 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Calculus of variations on locally finite graphs Show Chinese title

Title: 变分法在局部有限图上

Yong Lin, Yunyan Yang

Comments: 19 pages

Subjects: Analysis of PDEs (math.AP) ; Combinatorics (math.CO)

[34] arXiv:2108.01416 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: A heat flow for the mean field equation on a finite graph Show Chinese title

Title: 一个有限图上的平均场方程的热流

Yong Lin, Yunyan Yang

Comments: 15 pages

Subjects: Analysis of PDEs (math.AP) ; Combinatorics (math.CO)

[35] arXiv:2108.01421 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Asymptotic profiles for a nonlinear Schrödinger equation with critical combined powers nonlinearity Show Chinese title

Title: 非线性薛定谔方程临界组合幂非线性渐近轮廓

Shiwang Ma, Vitaly Moroz

Comments: 25 pages

Subjects: Analysis of PDEs (math.AP)

[36] arXiv:2108.01557 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunction Show Chinese title

Title: 单次测量的稳定确定性，散射界和透射本征函数的正则性

Hongyu Liu, Chun-Hsiang Tsou

Journal-ref: Calculus of Variations and Partial Differential Equations, 2022

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

[37] arXiv:2108.01650 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Application of Hardy inequalities for some singular parabolic equations Show Chinese title

Title: 奇异抛物方程中Hardy不等式的应用

N. Kutev, T. Rangelov

Subjects: Analysis of PDEs (math.AP)

[38] arXiv:2108.01733 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Weak-strong uniqueness for the mean curvature flow of double bubbles Show Chinese title

Title: 双气泡的平均曲率流的弱强唯一性

Sebastian Hensel, Tim Laux

Comments: 59 pages, corrected typos and some references, slightly revised regularity requirement in item i) of Definition 2 (gradient-flow calibration); results unchanged

Subjects: Analysis of PDEs (math.AP)

[39] arXiv:2108.01811 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole Show Chinese title

Title: 有界支撑平面涡度附近兰姆偶极子的涡度梯度无限增长

Kyudong Choi, In-Jee Jeong

Comments: 24 pages

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

[40] arXiv:2108.01818 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Quasisymmetric magnetic fields in asymmetric toroidal domains Show Chinese title

Title: 非对称环形区域中的准对称磁场

Naoki Sato, Zhisong Qu, David Pfefferlé, Robert L. Dewar

Comments: 19 pages, 5 figures

Journal-ref: Physics of Plasmas 28, 112507 (2021)

Subjects: Analysis of PDEs (math.AP) ; Plasma Physics (physics.plasm-ph)

[41] arXiv:2108.01824 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Asymptotic stability of the superposition of viscous contact wave with rarefaction waves for the compressible Navier-Stokes-Maxwell equations Show Chinese title

Title: 压缩Navier-Stokes-Maxwell方程组粘性接触波与稀疏波叠加的渐近稳定性

Huancheng Yao, Changjiang Zhu

Subjects: Analysis of PDEs (math.AP)

[42] arXiv:2108.01826 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Effects of nonlocal dispersal strategies and heterogeneous environment on total population Show Chinese title

Title: 非局部扩散策略和异质环境对总种群的影响

Xueli Bai, Fang Li

Comments: No Comments

Subjects: Analysis of PDEs (math.AP)

[43] arXiv:2108.02075 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Liouville theorems for fractional parabolic equations Show Chinese title

Title: 分数抛物方程的Liouville定理

Wenxiong Chen, Leyun Wu

Subjects: Analysis of PDEs (math.AP)

[44] arXiv:2108.02256 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: A Note on Moser Iteration and the Large Coupling Limit Show Chinese title

Title: 关于Moser迭代和大耦合极限的注记

Ikemefuna Agbanusi

Comments: 8 pages. Submitted. Title changed and the exposition has been streamlined in this version. Comments and suggestions welcome

Subjects: Analysis of PDEs (math.AP)

[45] arXiv:2108.02273 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Some qualitative properties for the Kirchhoff total variation flow Show Chinese title

Title: 某些关于Kirchhoff全变分流的定性性质

Tahir Boudjeriou

Subjects: Analysis of PDEs (math.AP)

[46] arXiv:2108.02345 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Nonexistence of solutions for indefinite fractional parabolic equations Show Chinese title

Title: 不定分数抛物方程解的存在性不存在

Wenxiong Chen, Leyun Wu, Pengyan Wang

Subjects: Analysis of PDEs (math.AP)

[47] arXiv:2108.02375 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On the $σ_2$-Nirenberg problem on $\mathbb{S}^2$ Show Chinese title

Title: 关于$σ_2$-Nirenberg 问题在$\mathbb{S}^2$上

YanYan Li, Han Lu, Siyuan Lu

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

[48] arXiv:2108.02453 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Optimal decay of compressible Navier-Stokes equations with or without potential force Show Chinese title

Title: 可压缩纳维-斯托克斯方程的最优衰减性与势力项的存在与否

Jincheng Gao, Minling Li, Zheng-an Yao

Subjects: Analysis of PDEs (math.AP)

[49] arXiv:2108.02583 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation Show Chinese title

Title: 非均匀非线性薛定谔方程的全局存在性和散射性

Lassaad Aloui, Slim Tayachi

Subjects: Analysis of PDEs (math.AP)

[50] arXiv:2108.02619 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Large-time behavior of solutions to the outflow problem for the compressible Navier-Stokes-Maxwell equations Show Chinese title

Title: 压缩Navier-Stokes-Maxwell方程组的流出问题解的大时间行为

Huancheng Yao, Changjiang Zhu

Comments: 38 pages, a remark in Page 10 and reference [51] are added. arXiv admin note: text overlap with arXiv:2108.01824

Subjects: Analysis of PDEs (math.AP)