Analysis of PDEs

Authors and titles for August 2025

[51] arXiv:2508.03255 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Approximate transonic shock solution for hypersonic flow past a large curved convex wedge Show Chinese title

Title: 高超音速流绕大曲率凸楔的近似跨音速激波解

Dian Hu

Comments: 35 pages, 12 figures

Subjects: Analysis of PDEs (math.AP)

[52] arXiv:2508.03268 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Global solvability for doubly degenerate nutrient taxis system with a wide range of bacterial responses in physical dimension Show Chinese title

Title: 双退化营养趋化系统在物理维数中的广泛细菌响应全局可解性

Bao-Ngoc Tran, Juan Yang

Subjects: Analysis of PDEs (math.AP)

[53] arXiv:2508.03288 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Well-Posedness of the Cauchy Problem for One-Dimensional Nonlinear Diffusion Equations with Dynamic and Fourth-Type Boundary Conditions in the Lp Lq Maximal Regularity Setting Show Chinese title

Title: 一维非线性扩散方程在Lp Lq最大正则性设置下的动态和第四类边界条件的柯西问题适定性

Ken Furukawa

Subjects: Analysis of PDEs (math.AP)

[54] arXiv:2508.03311 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The non-isothermal Maxwell-Stefan asymptotics of the multi-species Boltzmann equations Show Chinese title

Title: 多组分玻尔兹曼方程的非等温麦克斯韦-斯特凡渐近分析

Xinqiu Chen, Ning Jiang, Yi-Long Luo

Comments: 59 pages, all comments welcome!

Subjects: Analysis of PDEs (math.AP)

[55] arXiv:2508.03348 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Global smooth solutions of 2-D quadratically quasilinear wave equations with null conditions in exterior domains, II Show Chinese title

Title: 二维外区域上满足零条件的二次拟线性波动方程的全局光滑解，II

Fei Hou, Huicheng Yin

Comments: some minor typos are corrected

Subjects: Analysis of PDEs (math.AP)

[56] arXiv:2508.03502 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the optimization of the Robin eigenvalues in some classes of polygons Show Chinese title

Title: 关于某些多边形类别的罗宾特征值的优化

Alessandro Carbotti, Simone Cito, Diego Pallara

Comments: 23 pages, 2 figures

Subjects: Analysis of PDEs (math.AP)

[57] arXiv:2508.03551 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On Properties of Statistically Stationary Solutions to the One-Dimensional Schrödinger Map Equation Show Chinese title

Title: 关于一维薛定谔映射方程统计平稳解的性质

Emanuela Gussetti, Mouhamadou Sy

Comments: 23 pages

Subjects: Analysis of PDEs (math.AP)

[58] arXiv:2508.03554 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Uniqueness problem for Prandtl spirals Show Chinese title

Title: 普朗特螺旋线的唯一性问题

Tomasz Cieślak, Piotr Kokocki, Przemysław Kosewski

Comments: 30 pages, 2 figures

Subjects: Analysis of PDEs (math.AP)

[59] arXiv:2508.03646 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Long time behavior of discrete velocity kinetic equations Show Chinese title

Title: 离散速度动能方程的长时间行为

Gayrat Toshpulatov

Subjects: Analysis of PDEs (math.AP)

[60] arXiv:2508.03748 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Steady periodic hydroelastic waves on the water surface of finite depth with constant vorticity Show Chinese title

Title: 具有恒定旋度的有限深度水面上的稳定周期性水弹性波

Yong Zhang

Comments: 24pp, 3figures. arXiv admin note: text overlap with arXiv:2404.04114, arXiv:2404.04110 by other authors

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

[61] arXiv:2508.03859 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Coefficient Identification Problem with Integral Overdetermination Condition for Diffusion Equations Show Chinese title

Title: 带有积分过定条件的扩散方程系数识别问题

R.R. Ashurov, O.T. Mukhiddinova

Subjects: Analysis of PDEs (math.AP)

[62] arXiv:2508.03877 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Finite-time blowup for the infinite dimensional vorticity equation Show Chinese title

Title: 有限时间爆破对于无限维涡度方程

Evan Miller

Subjects: Analysis of PDEs (math.AP)

[63] arXiv:2508.03880 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The refined area formula for Sobolev mappings $W^{k,p}$ Show Chinese title

Title: Sobolev 映射的改进面积公式$W^{k,p}$

Paz Hashash

Subjects: Analysis of PDEs (math.AP)

[64] arXiv:2508.03924 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Optimal regularity for degenerate elliptic equations with Hamiltonian terms Show Chinese title

Title: 具有哈密顿项的退化椭圆方程的最优正则性

Pêdra D. S. Andrade, Thialita M. Nascimento

Comments: This paper was originally submited for publication on July 2024, and this is and updated version

Subjects: Analysis of PDEs (math.AP)

[65] arXiv:2508.04020 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Micro-macro and macro-macro limits for controlled leader-follower systems Show Chinese title

Title: 受控领导者-跟随者系统的微观-宏观和宏观-宏观极限

Giacomo Albi, Young-Pil Choi, Matteo Piu, Sihyun Song

Comments: 41 pages, 6 figures

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

[66] arXiv:2508.04023 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Nonlinear stability of two-dimensional periodic waves in parabolic systems with conservation laws Show Chinese title

Title: 二维抛物系统中周期波的非线性稳定性

L. Miguel Rodrigues, Aric Wheeler

Subjects: Analysis of PDEs (math.AP)

[67] arXiv:2508.04130 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Smoothing effect for higher order dispersive equations and applications to nonlinear initial value problems Show Chinese title

Title: 高阶色散方程的平滑效应及其在非线性初值问题中的应用

Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello

Comments: 25 pages

Subjects: Analysis of PDEs (math.AP)

[68] arXiv:2508.04290 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Analysis on a generalized two-component Novikov system Show Chinese title

Title: 对广义的两组分Novikov系统的分析

Yonghui Zhou, Xiaowan Li, Shuguan Ji, Zhijun Qiao

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

[69] arXiv:2508.04514 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The effect of stratification on the stability of a rest state in the 2D inviscid Boussinesq system Show Chinese title

Title: 分层对二维无粘 Boussinesq 系统中静止状态稳定性的影响

Catalina Jurja, Haram Ko

Comments: 15 pages

Subjects: Analysis of PDEs (math.AP)

[70] arXiv:2508.04543 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Optical Tomography with Scattered Rays Show Chinese title

Title: 散射射线的光学断层扫描

Francis Chung, Faith Hensley

Comments: 13 pages

Subjects: Analysis of PDEs (math.AP)

[71] arXiv:2508.04607 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Effective interface laws of Navier-slip-type involving the elastic displacement for Stokes flow through a thin porous elastic layer Show Chinese title

Title: Navier滑移型有效界面定律，涉及通过薄多孔弹性层的Stokes流的弹性位移

Markus Gahn, Maria Neuss-Radu

Subjects: Analysis of PDEs (math.AP)

[72] arXiv:2508.04615 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Analysis of the Darcy-Brinkman flow with viscous dissipation and non-homogeneous thermal boundary condition Show Chinese title

Title: 多孔介质中Darcy-Brinkman流动的分析，考虑粘性耗散和非均匀热边界条件

Igor Pažanin, Francisco J. Suárez-Grau

Subjects: Analysis of PDEs (math.AP)

[73] arXiv:2508.04617 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Mathematical modelling of a thin-film flow obeying Carreau's law without high-rate viscosity Show Chinese title

Title: 非高剪切粘度下遵循Carreau定律的薄膜流动数学模型

María Anguiano, Francisco J. Suárez-Grau

Subjects: Analysis of PDEs (math.AP)

[74] arXiv:2508.04629 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Darcy's law for micropolar fluid flow in a periodic thin porous medium Show Chinese title

Title: 多孔介质中微极流体流动的达西定律

María Anguiano, Francisco J. Suárez-Grau

Subjects: Analysis of PDEs (math.AP)

[75] arXiv:2508.04688 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Modeling non-Newtonian fluids in a thin domain perforated with cylinders of small diameter Show Chinese title

Title: 在小直径圆柱体穿孔的薄域中建模非牛顿流体

María Anguiano, Francisco J. Suárez-Grau

Subjects: Analysis of PDEs (math.AP)