Analysis of PDEs

Authors and titles for March 2025

[1] arXiv:2503.00129 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The Zakharov System on the Upper Half-Plane Show Chinese title

Title: Zakharov系统在上半平面上

M. B. Erdoğan, N. Tzirakis

Comments: 35 pages

Subjects: Analysis of PDEs (math.AP)

[2] arXiv:2503.00158 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: A regularization of incompressible Stokes problem with Tresca friction condition Show Chinese title

Title: 不可压缩Stokes问题带有Tresca摩擦条件的正则化

A. Zafrar

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

[3] arXiv:2503.00236 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Large-Time Asymptotics for Hyperbolic Systems with Non-Symmetric Relaxation: An Algorithmic Approach Show Chinese title

Title: 具有非对称松弛的双曲系统的长时间渐近：一种算法方法

Timothée Crin-Barat, Lorenzo Liverani, Ling-Yun Shou, Enrique Zuazua

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

[4] arXiv:2503.00280 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Relationship between haptotaxis and chemotaxis in cell dynamics Show Chinese title

Title: 细胞动力学中趋触性和趋化性的关系

Hideki Murakawa, Yoshitaro Tanaka

Subjects: Analysis of PDEs (math.AP)

[5] arXiv:2503.00343 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Global unique solution to the perturbation of the Burgers' equation forced by derivatives of space-time white noise Show Chinese title

Title: 关于受空间-时间白噪声导数强迫的Burgers方程摄动的整体唯一解

Kazuo Yamazaki

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

[6] arXiv:2503.00365 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Multiplicity Results for Mixed Local Nonlocal Equations With Indefinite Concave-Convex Type Nonlinearity Show Chinese title

Title: 具有不定凹凸型非线性项的混合局部-非局部方程组的多重性结果

R. Dhanya, Jacques Giacomoni, Ritabrata Jana

Subjects: Analysis of PDEs (math.AP)

[7] arXiv:2503.00523 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the eigenvalues and Fučík spectrum of $p$-Laplace local and nonlocal operator with mixed interpolated Hardy term Show Chinese title

Title: 关于带有混合插值Hardy项的$p$-拉普拉斯局部和非局部算子的特征值和Fučík谱

Shammi Malhotra, Sarika Goyal, K. Sreenadh

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

[8] arXiv:2503.00571 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The transition problem between time-independent motions of a body in a viscous liquid Show Chinese title

Title: 一个粘性液体中物体的非定常运动之间的转换问题

Giovanni P. Galdi, Toshiaki Hishida

Comments: 24 pages

Subjects: Analysis of PDEs (math.AP)

[9] arXiv:2503.00613 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: A Note on Continuous dependence of Navier-Stokes equations with oscillating force Show Chinese title

Title: 关于具有振荡力的纳维-斯托克斯方程的连续依赖性的注记

Anirban Dutta

Subjects: Analysis of PDEs (math.AP)

[10] arXiv:2503.00649 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: $C^\infty$ rectifiability of stationary varifolds Show Chinese title

Title: $C^\infty$静止变分集的可求长性

Camillo Brena, Camillo De Lellis, Federico Franceschini

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

[11] arXiv:2503.00651 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Remarks and Conjectures on Stationary Varifolds Show Chinese title

Title: 备注和关于静态变分集的猜想

Camillo Brena, Stefano Decio, Camillo De Lellis

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

[12] arXiv:2503.00700 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Global well-posedness of 3-D density-dependent incompressible MHD equations with variable resistivity Show Chinese title

Title: 三维密度依赖不可压缩MHD方程组在可变电阻率下的整体适定性

Hammadi Abidi, Guilong Gui, Ping Zhang

Comments: 40 pages

Subjects: Analysis of PDEs (math.AP)

[13] arXiv:2503.00708 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Radial symmetry, uniqueness and non-degeneracy of solutions to degenerate nonlinear Schrödinger equations Show Chinese title

Title: 径向对称性，退化非线性薛定谔方程解的唯一性和非退化性

Tianxiang Gou

Comments: 19 pages

Subjects: Analysis of PDEs (math.AP)

[14] arXiv:2503.00800 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Sharp maximal function estimates and $H^{p}$ continuities of pseudo-differential operators Show Chinese title

Title: 尖值函数估计和伪微分算子的$H^{p}$连续性

Guangqing Wang

Subjects: Analysis of PDEs (math.AP)

[15] arXiv:2503.00857 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Incompressible Limit of Strong Solutions to the Diffuse Interface Model for Two-phase Flows Show Chinese title

Title: 不可压缩极限的强解到两相流的扩散界面模型

Yinghua Li, Manrou Xie

Subjects: Analysis of PDEs (math.AP)

[16] arXiv:2503.00869 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Higher Differentiability of Minimizers for Non-Autonomous Orthotropic Functionals Show Chinese title

Title: 非自治正交泛函极小值的高可微性

Stefania Russo

Subjects: Analysis of PDEs (math.AP)

[17] arXiv:2503.00873 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: A Variable Coefficient Free Boundary Problem for $L^p$-solvability of Parabolic Dirichlet Problems in Graph Domains Show Chinese title

Title: 一个关于图域中抛物Dirichlet问题的$L^p$可解性的变系数自由边界问题

Simon Bortz, Sandra Ferris, Pablo Hidalgo-Palencia, Steve Hofmann

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

[18] arXiv:2503.00895 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the solvability for a p-k-Hessian inequality Show Chinese title

Title: 关于p-k-Hessian不等式的可解性

Zhenghuan Gao, Shujun Shi, Yuzhou Zhang

Subjects: Analysis of PDEs (math.AP)

[19] arXiv:2503.01008 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Stability of a Stationary Solution to a 1-D Model for the MHD Show Chinese title

Title: 一维MHD模型的定态解的稳定性

Yunhao Sun

Subjects: Analysis of PDEs (math.AP)

[20] arXiv:2503.01168 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Relativistic BGK model of Marle for polyatomic gases near equilibrium Show Chinese title

Title: 相对论Marle BGK模型用于接近平衡的多原子气体

Byung-Hoon Hwang

Subjects: Analysis of PDEs (math.AP)

[21] arXiv:2503.01246 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Boundary determination for the Schrödinger equation with unknown embedded obstacles by local data Show Chinese title

Title: 薛定谔方程未知嵌入障碍物的边界确定通过局部数据

Chengyu Wu, Jiaqing Yang

Subjects: Analysis of PDEs (math.AP)

[22] arXiv:2503.01270 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Convergence of the Euler-Voigt equations to the Euler equations in two dimensions Show Chinese title

Title: 二维空间中欧拉-沃特方程到欧拉方程的收敛性

Stefano Abbate, Luigi C. Berselli, Gianluca Crippa, Stefano Spirito

Subjects: Analysis of PDEs (math.AP)

[23] arXiv:2503.01384 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the stability of the critical $p$-Laplace equation Show Chinese title

Title: 关于临界$p$-拉普拉斯方程的稳定性

Giulio Ciraolo, Michele Gatti

Comments: 1 figure. Comments are welcome

Subjects: Analysis of PDEs (math.AP)

[24] arXiv:2503.01403 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Inverse nodal problems for Dirac differential operators with jump condition Show Chinese title

Title: 逆节点问题对于带有间断条件的Dirac微分算子

Baki Keskin

Subjects: Analysis of PDEs (math.AP) ; Spectral Theory (math.SP)

[25] arXiv:2503.01454 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The $L_p$-dual Christoffel-Minkowski problem for the case $p\geq q$ Show Chinese title

Title: $L_p$对偶Christoffel-Minkowski问题对于情况$p\geq q$

Xiaojuan Chen, Qiang Tu, Ni Xiang

Subjects: Analysis of PDEs (math.AP)

[26] arXiv:2503.01492 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Large-time estimates for the Dirichlet heat equation in exterior domains Show Chinese title

Title: 外部区域中狄利克雷热方程的大时间估计

José A. Cañizo, Alejandro Gárriz, Fernando Quirós

Subjects: Analysis of PDEs (math.AP)

[27] arXiv:2503.01502 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The Dirichlet problem for the nonstationary Stokes system in a polygon Show Chinese title

Title: 非定常Stokes方程组在多边形中的Dirichlet问题

Jürgen Rossmann

Comments: 14 pages

Subjects: Analysis of PDEs (math.AP)

[28] arXiv:2503.01527 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: $L^p-L^q$ estimates for the dissipative and conservative Moore-Gibson-Thompson equations Show Chinese title

Title: $L^p-L^q$用于耗散和保守的Moore-Gibson-Thompson方程的估计

Wenhui Chen, Mengjun Ma, Xulong Qin

Subjects: Analysis of PDEs (math.AP)

[29] arXiv:2503.01528 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Semiclassical Measures on Hyperbolic Manifolds Show Chinese title

Title: 半经典测度在双曲流形上

Elena Kim, Nicholas Miller

Comments: 59 pages, 1 figure

Subjects: Analysis of PDEs (math.AP) ; Dynamical Systems (math.DS) ; Geometric Topology (math.GT) ; Spectral Theory (math.SP)

[30] arXiv:2503.01621 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Multi-index Based Solution Theory to the $Φ^4$ Equation in the Full Subcritical Regime Show Chinese title

Title: 基于多指标的全亚临界区域中$Φ^4$方程的解理论

Lucas Broux, Felix Otto, Rhys Steele

Comments: 62 pages

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

[31] arXiv:2503.01636 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The Kato problem for weighted elliptic and parabolic systems of higher order Show Chinese title

Title: 加托关于高阶加权椭圆和抛物型系统的問題

Guoming Zhang

Subjects: Analysis of PDEs (math.AP)

[32] arXiv:2503.01677 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Modified scattering for small data solutions to the Vlasov-Maxwell system: a short proof Show Chinese title

Title: 小数据解的Vlasov-Maxwell系统的修正散射：一个简短的证明

Emile Breton

Comments: 14 pages

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

[33] arXiv:2503.01795 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Invertibility of Sobolev maps through approximate invertibility at the boundary and tangential polyconvexity Show Chinese title

Title: Sobolev映射的可逆性通过边界处的近似可逆性和切向多重凸性

Carlos Mora-Corral, David Mur-Callizo

Comments: 22 pages, 1 figure. To appear in ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV), 2025

Subjects: Analysis of PDEs (math.AP)

[34] arXiv:2503.01800 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory Show Chinese title

Title: 希尔伯特的第六问题：通过玻尔兹曼的气体动理论推导流体方程

Yu Deng, Zaher Hani, Xiao Ma

Comments: 48 pages, 5 figures. arXiv admin note: text overlap with arXiv:2408.07818

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

[35] arXiv:2503.02029 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Minimizers of the Allen-Cahn energy with sub-quadratic growth Show Chinese title

Title: Allen-Cahn能量的极小值问题与次二次增长

Ovidiu Savin, Chilin Zhang

Subjects: Analysis of PDEs (math.AP)

[36] arXiv:2503.02044 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Asymptotics of solutions to the porous medium equation near conical singularities Show Chinese title

Title: 近锥奇点处多孔介质方程解的渐进行为

Nikolaos Roidos, Elmar Schrohe

Comments: 24 pages

Subjects: Analysis of PDEs (math.AP)

[37] arXiv:2503.02263 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Infinitely many self-similar blow-up profiles for the Keller-Segel system in dimensions 3 to 9 Show Chinese title

Title: 三维到九维Keller-Segel系统中存在无限多个自相似爆破解

Van Tien Nguyen, Zhi-An Wang, Kaiqiang Zhang

Subjects: Analysis of PDEs (math.AP)

[38] arXiv:2503.02276 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Singular flows with time-varying weights Show Chinese title

Title: 带有时间变化权重的奇异流

Immanuel Ben Porat, José A. Carrillo, Pierre-Emmanuel Jabin

Comments: 46 pages

Subjects: Analysis of PDEs (math.AP)

[39] arXiv:2503.02340 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Sharp stability for critical points of the Sobolev inequality in the absence of bubbling Show Chinese title

Title: 临界点的Sobolev不等式的尖锐稳定性在无爆破解的情况下

Gemei Liu, Yi Ru-Ya Zhang

Comments: 21 Pages. Corrected a statement in Lemma 2.2 to address a minor gap in the proof from the previous version

Subjects: Analysis of PDEs (math.AP)

[40] arXiv:2503.02346 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Absence of blow-up in a fully parabolic chemotaxis system with weak singular sensitivity and logistic damping in dimension two Show Chinese title

Title: 二维空间中具有弱奇异感知和逻辑阻尼的完全抛物型趋化系统中无爆破现象

Minh Le

Subjects: Analysis of PDEs (math.AP)

[41] arXiv:2503.02417 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Linear Instability of the Prandtl Equations via Hypergeometric Functions and the Harmonic Oscillator Show Chinese title

Title: 普朗特方程的线性不稳定性通过超几何函数和简谐振子

Francesco De Anna, Joshua Kortum

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph) ; Classical Analysis and ODEs (math.CA) ; Spectral Theory (math.SP)

[42] arXiv:2503.02446 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The critical Fujita exponent for one-dimensional semilinear heat equations with potentials and space-dependent nonlinearities Show Chinese title

Title: 一维半线性热方程的临界Fujita指数，具有势函数和空间依赖的非线性项

Reiri Miyamoto, Motohiro Sobajima

Comments: 29 pages

Subjects: Analysis of PDEs (math.AP)

[43] arXiv:2503.02535 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Regularity for free boundary surfaces minimizing degenerate area functionals Show Chinese title

Title: 自由边界曲面在退化面积泛函下的正则性

Carlo Gasparetto, Filippo Paiano, Bozhidar Velichkov

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

[44] arXiv:2503.02551 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Uniqueness of solutions to elliptic and parabolic equations on metric graphs Show Chinese title

Title: 椭圆和抛物方程在度量图上的解的唯一性

Giulia Meglioli, Fabio Punzo

Subjects: Analysis of PDEs (math.AP)

[45] arXiv:2503.02570 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Dynamics of dissipative solutions to the Hardy-Sobolev parabolic equation Show Chinese title

Title: 耗散解到 Hardy-Sobolev 抛物方程的动力学

Masahiro Ikeda, César J. Niche, Gabriela Planas

Comments: Minor modifications and proof of Theorem 1.1 updated

Subjects: Analysis of PDEs (math.AP)

[46] arXiv:2503.02575 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The importance of Luis Caffarelli's work in the study of fluids Show Chinese title

Title: 路易斯·卡法雷利在流体研究中的工作的重要性

Maria J. Esteban

Journal-ref: Bull. Amer. Math. Soc. (N.S.) 62 (2025), no. 2, 301-325

Subjects: Analysis of PDEs (math.AP)

[47] arXiv:2503.02590 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Asymptotic Equivalence and Decay Characterization in Second-Grade Fluid Equations Show Chinese title

Title: 渐近等价和二阶流体方程中的衰减特性描述

Felipe W. Cruz, César J. Niche, Cilon F. Perusato, Marko Rojas-Medar

Subjects: Analysis of PDEs (math.AP)

[48] arXiv:2503.02604 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Minimality of level sets in phase transitions Show Chinese title

Title: 相变中水平集的最小性

Dimitrios Gazoulis

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

[49] arXiv:2503.02632 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Mode stability of blow-up for wave maps in the absence of symmetry Show Chinese title

Title: 波映射在无对称性情况下的爆破模式稳定性

Max Weissenbacher, Herbert Koch, Roland Donninger

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

[50] arXiv:2503.02638 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the hydrostatic approximation of 3D Oldroyd-B model Show Chinese title

Title: 关于三维Oldroyd-B模型的静水压力近似

Marius Paicu, Tianyuan Yu, Ning Zhu

Comments: 30 pages

Subjects: Analysis of PDEs (math.AP)