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)