Analysis of PDEs

Authors and titles for August 2021

[276] arXiv:2108.13604 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Long time and Painleve-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions Show Chinese title

Title: 长时间和Painleve型渐近行为在孤立子时空区域中的Sasa-Satsuma方程

Weikang Xun, Engui Fan

Comments: 46 pages

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

[277] arXiv:2108.13644 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: A globally smooth solution to the relativistic string equation Show Chinese title

Title: 相对论弦方程的全局光滑解

Jinhua Wang, Changhua Wei

Comments: References are modified

Subjects: Analysis of PDEs (math.AP) ; General Relativity and Quantum Cosmology (gr-qc) ; Mathematical Physics (math-ph)

[278] arXiv:2108.13668 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: A globally stable self-similar blowup profile in energy supercritical Yang-Mills theory Show Chinese title

Title: 能量超临界杨-米尔斯理论中的全局稳定自相似爆破解

Roland Donninger, Matthias Ostermann

Comments: 57 pages, 5 figures, with minor improvements to match the published version

Journal-ref: Comm. Partial Differential Equations 48 (2023), no. 9, 1148-1213

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

[279] arXiv:2108.13675 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Pointwise Spectral Asymptotics out of the Diagonal near Degeneration Show Chinese title

Title: 点态谱渐近线在退化附近的对角线外

Victor Ivrii

Comments: 27 pp, 1 fig

Subjects: Analysis of PDEs (math.AP)

[280] arXiv:2108.13681 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Maximal mixed parabolic-hyperbolic regularity for the full equations of multicomponent fluid dynamics Show Chinese title

Title: 全多组分流体动力学方程的最大混合抛物-双曲正则性

Pierre-Etienne Druet

Subjects: Analysis of PDEs (math.AP)

[281] arXiv:2108.13723 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure Show Chinese title

Title: 抛物型方程组的Liouville定理，具有齐次非线性和梯度结构

Pavol Quittner

Comments: This preprint has not undergone peer review or any post-submission improvements or corrections. The Version of Record of this article is published in Partial Differential Equations and Applications, and is available online at https://doi.org/10.1007/s42985-022-00163-6

Subjects: Analysis of PDEs (math.AP)

[282] arXiv:2108.13727 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Liouville theorem and a priori estimates of radial solutions for a non-cooperative elliptic system Show Chinese title

Title: Liouville 定理和非合作椭圆系统径向解的先验估计

Pavol Quittner

Subjects: Analysis of PDEs (math.AP)

[283] arXiv:2108.13763 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Null boundary controllability of a one-dimensional heat equation with internal point masses and variable coefficients Show Chinese title

Title: 一维热方程在内部点质量与变系数下的零边界能控性

Kaïs Ammari, Hedi Bouzidi

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

[284] arXiv:2108.13779 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: $L^q$-regularity for nonlinear elliptic equations with Schrödinger-type lower order terms Show Chinese title

Title: $L^q$-正则性对于具有薛定谔型低阶项的非线性椭圆方程

Mikyoung Lee, Jihoon Ok

Comments: 22 pages

Subjects: Analysis of PDEs (math.AP)

[285] arXiv:2108.13829 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Partial regularity result for non-autonomous elliptic systems with general growth Show Chinese title

Title: 非自治椭圆系统的部分正则性结果与一般增长

Teresa Isernia, Chiara Leone, Anna Verde

Journal-ref: Commun. Pure Appl. Anal. (2021)

Subjects: Analysis of PDEs (math.AP)

[286] arXiv:2108.13926 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On Trace Theorems and Poincare inequality for one-dimensional Sobolev spaces Show Chinese title

Title: 关于迹定理和一维Sobolev空间中的Poincare不等式

Bienvenido Barraza Martínez, Jonathan González Ospino, Jairo Hernández Monzón

Comments: 6 pages

Subjects: Analysis of PDEs (math.AP)

[287] arXiv:2108.00037 (cross-list from cs.LG) [cn-pdf, pdf, other]

Title: Physics-Informed Machine Learning Method for Large-Scale Data Assimilation Problems Show Chinese title

Title: 基于物理信息的机器学习方法用于大规模数据同化问题

Yu-Hong Yeung (1), David A. Barajas-Solano (1), Alexandre M. Tartakovsky (1 and 2) ((1) Physical and Computational Sciences Directorate, Pacific Northwest National Laboratory, (2) Department of Civil and Environmental Engineering, University of Illinois Urbana-Champaign)

Comments: 28 pages, 9 figures submitted to Water Resources Research

Subjects: Machine Learning (cs.LG) ; Analysis of PDEs (math.AP) ; Fluid Dynamics (physics.flu-dyn) ; Geophysics (physics.geo-ph)

[288] arXiv:2108.00325 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: Regularity of Hamiltonian Stationary Equations in Symplectic manifolds Show Chinese title

Title: 哈密顿平稳方程在辛流形中的正则性

Arunima Bhattacharya, Jingyi Chen, Micah Warren

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

[289] arXiv:2108.00336 (cross-list from cond-mat.soft) [cn-pdf, pdf, other]

Title: Continuum field theory for the deformations of planar kirigami Show Chinese title

Title: 平面剪纸变形的连续场理论

Yue Zheng, Imtiar Niloy, Paolo Celli, Ian Tobasco, Paul Plucinsky

Comments: 5 pages, 4 Figures and a supplement

Journal-ref: Phys. Rev. Lett. 128, 208003 (2022)

Subjects: Soft Condensed Matter (cond-mat.soft) ; Analysis of PDEs (math.AP)

[290] arXiv:2108.00418 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: An upper Minkowski bound for the interior singular set of area minimizing currents Show Chinese title

Title: 面积最小流的内部奇点集的一个上Minkowski界

Anna Skorobogatova

Comments: 52 pages, proofs of Theorem 7.8 and Proposition 7.1 corrected, and some minor modifications made to the introduction

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

[291] arXiv:2108.00538 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Convergence of deterministic growth models Show Chinese title

Title: 确定性增长模型的收敛性

Sourav Chatterjee, Panagiotis E. Souganidis

Comments: 28 pages. One new example and several other major changes in this revision

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

[292] arXiv:2108.00693 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: Proper free-boundary minimal hypersurfaces with a rotational symmetry in the Schwarzschild space Show Chinese title

Title: 具有旋转对称性的施瓦茨希尔德空间中的适当自由边界极小超曲面

Ezequiel Barbosa, David Moya

Comments: 9 pages, 1 figure

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

[293] arXiv:2108.00755 (cross-list from math.OC) [cn-pdf, pdf, other]

Title: Rates of convergence for the policy iteration method for Mean Field Games systems Show Chinese title

Title: 策略迭代方法在平均场博弈系统中的收敛速率

Fabio Camilli, Qing Tang

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

[294] arXiv:2108.00937 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Modeling and simulation of thin sheet folding Show Chinese title

Title: 薄片折叠的建模与仿真

Sören Bartels, Andrea Bonito, Peter Hornung

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

[295] arXiv:2108.01507 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport Show Chinese title

Title: 基于趋化性和主动运输的Cahn-Hilliard系统肿瘤生长的数值分析

Harald Garcke, Dennis Trautwein

Comments: accepted for publication in: Journal of Numerical Mathematics, 2022

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

[296] arXiv:2108.01511 (cross-list from math.FA) [cn-pdf, pdf, other]

Title: A Survey on Function Spaces of John--Nirenberg Type Show Chinese title

Title: 关于约翰--尼伦伯格型函数空间的综述

Jin Tao, Dachun Yang, Wen Yuan

Comments: 65 pages; Submitted

Journal-ref: Mathematics 9 (2021), 2264

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

[297] arXiv:2108.01517 (cross-list from math.CA) [cn-pdf, pdf, other]

Title: Boundedness of Calderón--Zygmund Operators on Special John--Nirenberg--Campanato and Hardy-Type Spaces via Congruent Cubes Show Chinese title

Title: Calderón--Zygmund 算子在特殊 John--Nirenberg--Campanato 和 Hardy 型空间上的有界性通过全等立方体

Hongchao Jia, Jin Tao, Dachun Yang, Wen Yuan, Yangyang Zhang

Comments: 47 pages; Submitted

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

[298] arXiv:2108.01559 (cross-list from math.CA) [cn-pdf, pdf, other]

Title: Estimates for Littlewood--Paley Operators on Ball Campanato-Type Function Spaces Show Chinese title

Title: 关于球Campanato型函数空间上的Littlewood-Paley算子的估计

Hongchao Jia, Dachun Yang, Wen Yuan, Yangyang Zhang

Comments: 46 pages; Submitted

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

[299] arXiv:2108.01597 (cross-list from physics.flu-dyn) [cn-pdf, pdf, other]

Title: Weak stablity and closure in turbulence Show Chinese title

Title: 弱稳定性与湍流中的闭合

Camillo De Lellis, La'szlo' Sze'kelyhidi Jr

Comments: To appear in Philosophical Transactions of the Royal Society A

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

[300] arXiv:2108.01786 (cross-list from physics.flu-dyn) [cn-pdf, pdf, other]

Title: Numerical Algorithms for Water Waves with Background Flow over Obstacles and Topography Show Chinese title

Title: 水波在障碍物和地形上的背景流数值算法

David M. Ambrose, Roberto Camassa, Jeremy L. Marzuola, Richard M. McLaughlin, Quentin Robinson, Jon Wilkening

Comments: 61 pages, 10 figures. In the revision, we added an example with variable bottom topography and a section on running time and performance

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