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Communications in Mathematical Physics最新文献

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A Kac System Interacting with Two Heat Reservoirs 一个与两个热源相互作用的Kac系统
IF 2.9 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-08-28 DOI: 10.1007/s00220-026-05740-z
Federico Bonetto, Michael Loss, Matthew Powell
{"title":"A Kac System Interacting with Two Heat Reservoirs","authors":"Federico Bonetto,&nbsp;Michael Loss,&nbsp;Matthew Powell","doi":"10.1007/s00220-026-05740-z","DOIUrl":"10.1007/s00220-026-05740-z","url":null,"abstract":"<div><p>We study a system formed by <i>M</i> particles moving in 3 dimension and interacting with 2 heat reservoirs with <span>(N&gt;&gt;M)</span> particles each. The system and the reservoirs evolve and interact via random collision described by a Kac-type master equation. The initial state of the reservoirs is given by 2 Maxwellian distributions at temperature <span>(T_+)</span> and <span>(T_-)</span>. We show that, for times much shorter than <span>(sqrt{N}/M)</span> the interaction with the reservoirs is well approximated by the interaction with 2 Maxwellian thermostats, that is, heat reservoirs with <span>(N=infty )</span>. As a byproduct, if <span>(T_+=T_-)</span> we extend the results in [3] to particles in 3 dimension.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 10","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05740-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148838090","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
The Vlasov–Poisson System with a Perfectly Conducting Wall: Convex Domains 具有完全导电壁的Vlasov-Poisson系统：凸域
IF 2.9 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-08-28 DOI: 10.1007/s00220-026-05731-0
Wenrui Huang, Benoit Pausader, Masahiro Suzuki
{"title":"The Vlasov–Poisson System with a Perfectly Conducting Wall: Convex Domains","authors":"Wenrui Huang,&nbsp;Benoit Pausader,&nbsp;Masahiro Suzuki","doi":"10.1007/s00220-026-05731-0","DOIUrl":"10.1007/s00220-026-05731-0","url":null,"abstract":"<div><p>We consider the Vlasov–Poisson system in a <span>(C^3)</span> convex domain <i>D</i> with a perfectly conducting wall. We introduce the asymptotic domain <span>(D_{infty })</span> for the domain <i>D</i>. Then under acceptable assumptions on <i>D</i>, we show that for localized initial data, the velocity of particles is asymptotically supported in the (closure of the) asymptotic domain <span>(overline{D_{infty }})</span> and the solutions exhibit the asymptotics of modified scattering.\u0000</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 10","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148838269","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
Correction to: Covariant Quantum Combinatorics with Applications to Zero-Error Communication 修正：协变量子组合及其在零误差通信中的应用
IF 2.9 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-08-18 DOI: 10.1007/s00220-026-05734-x
Dominic Verdon
{"title":"Correction to: Covariant Quantum Combinatorics with Applications to Zero-Error Communication","authors":"Dominic Verdon","doi":"10.1007/s00220-026-05734-x","DOIUrl":"10.1007/s00220-026-05734-x","url":null,"abstract":"","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 9","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05734-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148782512","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
General Real Measurable Livšic Regularity via Transfer Operators 一般真实可测量Livšic通过转移算子的正则性
IF 2.9 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05706-1
Ian D. Morris
{"title":"General Real Measurable Livšic Regularity via Transfer Operators","authors":"Ian D. Morris","doi":"10.1007/s00220-026-05706-1","DOIUrl":"10.1007/s00220-026-05706-1","url":null,"abstract":"<div><p>We prove a general measurable Livšic regularity theorem for real-valued cocycles over non-invertible dynamical systems using only abstract hypotheses on an associated transfer operator. As illustrative applications we derive measurable Livšic regularity results in the analytic regularity class for cocycles over real-analytic expanding maps, in the bounded-variation regularity class for <span>(beta )</span>-transformations, and in <span>(C^alpha )</span> regularity over the class of virtually expanding maps recently introduced by M. Tsujii.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 9","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05706-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148652190","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
Nonlinear Stability of 2-D Couette Flow for the Compressible Navier–Stokes Equations at High Reynolds Number 高雷诺数下可压缩Navier-Stokes方程二维Couette流的非线性稳定性
IF 2.9 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05707-0
Minling Li, Chao Wang, Zhifei Zhang
{"title":"Nonlinear Stability of 2-D Couette Flow for the Compressible Navier–Stokes Equations at High Reynolds Number","authors":"Minling Li,&nbsp;Chao Wang,&nbsp;Zhifei Zhang","doi":"10.1007/s00220-026-05707-0","DOIUrl":"10.1007/s00220-026-05707-0","url":null,"abstract":"<div><p>In this paper, we investigate the nonlinear stability of the Couette flow for the two-dimensional compressible Navier–Stokes equations at high Reynolds numbers (<i>Re</i>) regime. It was proved that if the initial data <span>((rho _{in},varvec{u}_{in}))</span> satisfies <span>(Vert (rho _{in},varvec{u}_{in})-(1, y, 0)Vert _{H^4({mathbb {T}}times {mathbb {R}})}le epsilon Re^{-1})</span> for some small <span>(epsilon )</span> independent of <i>Re</i>, then the corresponding solution exists globally and remains close to the Couette flow for all time. Formal asymptotics indicate that this stability threshold is sharp within the class of Sobolev perturbations. The proof relies on the Fourier-multiplier method and exploits three essential ingredients: (i) the introduction of “good unknowns” that decouple the perturbation system; (ii) the construction of a carefully designed Fourier multiplier that simultaneously captures the enhanced dissipation and inviscid-damping effects while taming the lift-up mechanism; and (iii) the design of distinct energy functionals for the incompressible and compressible modes.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 9","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148652204","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
The Extended Ablowitz–Ladik Hierarchy and a Generalized Frobenius Manifold 扩展Ablowitz-Ladik层次与广义Frobenius流形
IF 2.9 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05713-2
Si-Qi Liu, Yuewei Wang, Youjin Zhang
{"title":"The Extended Ablowitz–Ladik Hierarchy and a Generalized Frobenius Manifold","authors":"Si-Qi Liu,&nbsp;Yuewei Wang,&nbsp;Youjin Zhang","doi":"10.1007/s00220-026-05713-2","DOIUrl":"10.1007/s00220-026-05713-2","url":null,"abstract":"<div><p>We define a certain extension of the Ablowitz–Ladik hierarchy, and prove that this extended integrable hierarchy coincides with the topological deformation of the Principal Hierarchy of a generalized Frobenius manifold with non-flat unity.\u0000</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 9","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148652205","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
Quasi-Einstein Structures and Hitchin’s Equations 准爱因斯坦结构和希钦方程
IF 2.9 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05699-x
Alex Colling, Maciej Dunajski
{"title":"Quasi-Einstein Structures and Hitchin’s Equations","authors":"Alex Colling,&nbsp;Maciej Dunajski","doi":"10.1007/s00220-026-05699-x","DOIUrl":"10.1007/s00220-026-05699-x","url":null,"abstract":"<div><p>We prove (Theorem 1.1.) that a class of quasi-Einstein structures on closed manifolds must admit a Killing vector field. This extends the rigidity theorem obtained in [20] for the extremal black hole horizons and completes the classification of compact quasi-Einstein 2-manifolds in this class. We also explore special cases of the quasi-Einstein equations related to integrability and the Hitchin equations, as well as to Einstein-Weyl structures and Kazdan-Warner type PDEs. This leads to novel explicit examples of quasi-Einstein structures on (non-compact) 2-manifolds and on <span>(S^2 times S^1)</span>.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 9","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05699-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148652203","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
Weak Solutions of a Viscous Model for Fluid-Bubbles Interaction 流体-气泡相互作用粘性模型的弱解
IF 2.9 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05708-z
Cosmin Burtea, David Gérard-Varet
{"title":"Weak Solutions of a Viscous Model for Fluid-Bubbles Interaction","authors":"Cosmin Burtea,&nbsp;David Gérard-Varet","doi":"10.1007/s00220-026-05708-z","DOIUrl":"10.1007/s00220-026-05708-z","url":null,"abstract":"<div><p>We present a system of Navier–Stokes type that describes the dynamics of several spherical bubbles of gas in a liquid. It is derived from a more complete model, where the bubbles are seen as inclusions of gas of homogeneous barotropic pressure with free surfaces. The usual condition of continuity of the stress is relaxed in order to preserve the sphericity of the bubbles through time. We construct weak solutions <i>à la Leray</i> for this relaxed system, up to collision between the bubbles. Although these solutions are reminiscent of weak solutions for fluid-solid interaction systems, accounting for the compression/dilation of the bubbles creates new and significant mathematical difficulties.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 9","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148652252","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
Spectra of Lorentzian Quasi-Fuchsian Manifolds Lorentzian拟fuchsian流形的谱
IF 2.9 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05640-2
Benjamin Delarue, Colin Guillarmou, Daniel Monclair
{"title":"Spectra of Lorentzian Quasi-Fuchsian Manifolds","authors":"Benjamin Delarue,&nbsp;Colin Guillarmou,&nbsp;Daniel Monclair","doi":"10.1007/s00220-026-05640-2","DOIUrl":"10.1007/s00220-026-05640-2","url":null,"abstract":"<div><p>A three-dimensional quasi-Fuchsian Lorentzian manifold <i>M</i> is a globally hyperbolic spacetime diffeomorphic to <span>(Sigma times (-1,1))</span> for a closed orientable surface <span>(Sigma )</span> of genus <span>(ge 2)</span>. It is the quotient <span>(M=Gamma backslash Omega _Gamma )</span> of an open set <span>(Omega _Gamma subset textrm{AdS}_3)</span> by a discrete group <span>(Gamma )</span> of isometries of <span>(textrm{AdS}_3)</span> which is a particular example of an Anosov representation of <span>(pi _1(Sigma ))</span>. We first show that the spacelike geodesic flow of <i>M</i> is Axiom A, has a discrete Ruelle resonance spectrum with associated (co-)resonant states, and that the Poincaré series for <span>(Gamma )</span> extend meromorphically to <span>(mathbb {C})</span>. This is then used to prove that there is a natural notion of resolvent of the pseudo-Riemannian Laplacian <span>(Box )</span> of <i>M</i>, which is meromorphic on <span>(mathbb {C})</span> with poles of finite rank, defining a notion of quantum resonances and quantum resonant states related to the Ruelle resonances and (co-)resonant states by a quantum-classical correspondence. This initiates the spectral study of convex co-compact pseudo-Riemannian locally symmetric spaces.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 9","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05640-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148652202","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
Stochastic Estimates for the Thin-Film Equation with Thermal Noise 热噪声薄膜方程的随机估计
IF 2.9 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05695-1
Rishabh S. Gvalani, Markus Tempelmayr
{"title":"Stochastic Estimates for the Thin-Film Equation with Thermal Noise","authors":"Rishabh S. Gvalani,&nbsp;Markus Tempelmayr","doi":"10.1007/s00220-026-05695-1","DOIUrl":"10.1007/s00220-026-05695-1","url":null,"abstract":"<div><p>We construct and derive uniform stochastic estimates on the renormalised model for a class of fourth-order conservative quasilinear singular SPDEs in arbitrary dimension <span>(dge 1 )</span> and in the full subcritical regime of noise regularity. The prototype of the class of equations we study is the so-called thin-film equation with thermal noise, also commonly referred to in the literature as the stochastic thin-film equation. We derive an explicit expression for the form of the counterterm as a function of the film mobility which is in surprising agreement with the form conjectured in [GGKO23, Remark 9.1].</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 9","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05695-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148652253","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
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