Communications in Mathematical Physics最新文献_第4页

Formation of Trapped Surfaces in Geodesic Foliation 测地面理中被困面的形成

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05584-7

Xuantao Chen, Sergiu Klainerman

{"title":"Formation of Trapped Surfaces in Geodesic Foliation","authors":"Xuantao Chen, Sergiu Klainerman","doi":"10.1007/s00220-026-05584-7","DOIUrl":"10.1007/s00220-026-05584-7","url":null,"abstract":"<div>We revisit the classical results of the formation of trapped surfaces for the Einstein vacuum equation relying on the geodesic foliation, rather than the double null foliation used in all previous results, starting with the seminal work of Christodoulou (Christodoulou, D.: European Mathematical Society, 2009) and continued in (An, X.: Ann. of Math. 201(3), 775–908 2025; An, X.: Ann. PDE 8, 3 2022; An, X. and Luk, J.: Adv. Theor. Math. Phys. 21(1), 1–120 2017; Klainerman, S.,et al.: Invent. Math. 198(1), 1–26 2014; Klainerman, S. and Rodnianski, I.: Acta Math. 208, 211–333 2012). The main advantage of the method is that it only requires information on the incoming curvature along the incoming initial null hypersurface, which is more along the lines of (Christodoulou, D.: Commun. Pure Appl. Math. 44(3), 339–373 1991) on the formation of trapped surfaces in spherical symmetry. Therefore, the methods used here may be better suited for studying the Weak Cosmic Censorship conjecture in the spirit of (Christodoulou, D.: Ann. Math. 183–217, 149 1999). Another important advantage, which we plan to bring to fruition in a forthcoming paper, is that it is appropriate to the study of the formation of trapped surfaces from more general Cauchy data than treated in (Li, J. and Yu, P.: Ann. of Math. 181, 699–768 2015). Our paper is based on a version of the non-integrable PT frame introduced in (Giorgi, E.et al.: Pure Appl. Math. Q. 20(7), 2865–3849 2024) and (KS: Kerr Klainerman, S. and Szeftel, J.: Pure Appl. Math. Q. 19(3), 791–1678 2023), associated to the geodesic foliation.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 5","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147614785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Intertwining Operators Beyond the Stark Effect 斯塔克效应之外的交织运营商

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05600-w

Luca Fanelli, Xiaoyan Su, Ying Wang, Junyong Zhang, Jiqiang Zheng

{"title":"Intertwining Operators Beyond the Stark Effect","authors":"Luca Fanelli, Xiaoyan Su, Ying Wang, Junyong Zhang, Jiqiang Zheng","doi":"10.1007/s00220-026-05600-w","DOIUrl":"10.1007/s00220-026-05600-w","url":null,"abstract":"<div>The main mathematical manifestation of the Stark effect in quantum mechanics is the shift and the formation of clusters of eigenvalues when a spherical Hamiltonian is perturbed by lower order terms. Understanding this mechanism turned out to be fundamental in the description of the large-time asymptotics of the associated Schrödinger groups and can be responsible for the lack of dispersion (Fanelli et al. in Commun Math Phys 324:1033–1067, 2013; in Commun Math Phys 337:1515–1533, 2015; in J Spectr Theory 8:509–521, 2018). Recently, Miao et al. introduced in Miao et al. http://arxiv.org/abs/2405.02531 a family of spectrally projected intertwining operators, reminiscent of the Kato’s wave operators, in the case of constant perturbations on the sphere (inverse-square potential), and also proved their boundedness in (L^p). Our aim is to establish a general framework in which some suitable intertwining operators can be defined also for non constant spherical perturbations in space dimensions 2 and higher, which is highly non trivial. In addition, we investigate the mapping properties between (L^p)-spaces of these operators. In 2D, we prove a complete result, for the Schrödinger Hamiltonian with a (fixed) magnetic potential an electric potential, both scaling critical, allowing us to prove dispersive estimates, uniform resolvent estimates, and (L^p)-bounds of Bochner–Riesz means. In higher dimensions, apart from recovering the example of inverse-square potential, we can conjecture a complete result in presence of some symmetries (zonal potentials), and open some interesting spectral problems concerning the asymptotics of eigenfunctions.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 5","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05600-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147614787","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Surface Observables in Gauge Theories, Modular Painlevé Tau Functions and Non-perturbative Topological Strings 规范理论中的表面可观测量，模painlevlevu函数和非微扰拓扑弦

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05568-7

Giulio Bonelli, Pavlo Gavrylenko, Ideal Majtara, Alessandro Tanzini

引用次数: 0

A Hopf-Like Formula for Mean-Field Spin Glass Models 平均场自旋玻璃模型的hopf式

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05598-1

Victor Issa

引用次数: 0

Minimalistic Presentation and Coideal Structure of Twisted Yangians 绞扬人的极简表现与共理想结构

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05615-3

Kang Lu

引用次数: 0

The Traveling Wave Problem for the Shallow Water Equations: Well-posedness and the Limits of Vanishing Viscosity and Surface Tension 浅水方程的行波问题：适定性及消失粘度和表面张力的极限

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05579-4

Noah Stevenson, Ian Tice

引用次数: 0

The Cauchy Problems for the 2D Compressible Euler Equations and Ideal MHD System are Ill-Posed in (H^frac{7}{4}(mathbb {R}^2)) 二维可压缩欧拉方程和理想MHD系统的Cauchy问题是不适定的 (H^frac{7}{4}(mathbb {R}^2))

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05573-w

Xinliang An, Haoyang Chen, Silu Yin

引用次数: 0

Some Three Dimensional Smooth Transonic Flows for the Steady Euler Equations with an External Force 具有外力的稳定欧拉方程的一些三维光滑跨音速流动

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05610-8

Shangkun Weng, Zhouping Xin

{"title":"Some Three Dimensional Smooth Transonic Flows for the Steady Euler Equations with an External Force","authors":"Shangkun Weng, Zhouping Xin","doi":"10.1007/s00220-026-05610-8","DOIUrl":"10.1007/s00220-026-05610-8","url":null,"abstract":"<div>We establish the existence and uniqueness of some smooth accelerating transonic flows governed by the three dimensional steady compressible Euler equations with an external force in cylinders with arbitrary cross sections, which include both irrotational flows and Beltrami flows with nonuniform proportionality factors. One of the key ingredients in the analysis of smooth transonic irrotational flows is the well-posedness theory of classical solutions in (H^4) to a linear elliptic-hyperbolic mixed second order differential equation of Keldysh type in cylinders with mixed boundary conditions. This is achieved by extending the problem to an auxiliary linear elliptic-hyberbolic-elliptic mixed problem in a longer cylinder where the governing equation becomes elliptic at the exit of the new cylinder, so that one can use the multiplier method and the cut-off techniques to derive the (H^2) and higher order estimates in transonic regions. It is further shown that the energy estimate can be closed in the (H^4) framework. For smooth transonic Beltrami flows, we solve a transport equation for the proportionality factor and a type-changing enlarged deformation-curl system with mixed boundary conditions. The compatibility conditions for the (H^4) estimate to the enlarged deformation-curl system near the intersection between the entrance and the cylinder wall play a crucial role in the analysis.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 5","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147611958","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stringy Corrections to Heterotic SU(3)-Geometry 弦修正异质SU(3)-几何

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05620-6

Jock McOrist, Sebastien Picard

引用次数: 0

Alterfold Theory and Topological Modular Invariance 交替理论与拓扑模不变性

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-04-04 DOI: 10.1007/s00220-026-05590-9

Zhengwei Liu, Shuang Ming, Yilong Wang, Jinsong Wu

引用次数: 0