Physica D: Nonlinear Phenomena最新文献_第4页

The deep-atmosphere Euler equations: Explicit solutions and perturbation analysis 深大气欧拉方程：显式解和摄动分析

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-04-01 Epub Date: 2026-01-03 DOI: 10.1016/j.physd.2025.135100

Calin-Iulian Martin

{"title":"The deep-atmosphere Euler equations: Explicit solutions and perturbation analysis","authors":"Calin-Iulian Martin","doi":"10.1016/j.physd.2025.135100","DOIUrl":"10.1016/j.physd.2025.135100","url":null,"abstract":"<div><div>We present a method to construct a family of explicit solutions to the deep-atmosphere Euler equations in spherical coordinates. These solutions represent steady purely–azimuthal flows accommodating general stratification that depends on the height and latitude. After prescribing the stratification we derive explicit formulas for the velocity field and for the pressure. From the gas law the temperature is determined explicitly and the heat sources are identified as well from the first law of thermodynamics. By expressing the solution in spherical coordinates, we avoid making any approximations that would simplify the geometry in the governing equations. Following the construction of our explicit solution, we address the suitability of these solutions to describe physically realistic atmospheric flows. By analyzing different choices of the density profile, we demonstrate that the resulting temperature distribution may either decrease (cf. Proposition 1, formula (3.27)) or increase (cf. Proposition 2, formula (3.38)) with height. Both behaviors are physically relevant and correspond to distinct atmospheric regimes. Our study concludes with a short-wavelength stability analysis, revealing that certain flows are stable for a wide range of density distributions that depend on the depth, and on the depth and latitude, respectively.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"488 ","pages":"Article 135100"},"PeriodicalIF":2.9,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145928018","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamics near ring solitons of asymmetrical Nizhnik-Novikov-Veselov equation: Integrability and blow-up 非对称Nizhnik-Novikov-Veselov方程的动力学近环孤子：可积性和爆破

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-04-01 Epub Date: 2026-01-09 DOI: 10.1016/j.physd.2026.135113

Zheyong Yin , Xiaofei Zhao

引用次数: 0

Entanglement transformation after 2-localization in ring quantum networks 环量子网络中2-局域化后的纠缠变换

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-04-01 Epub Date: 2026-01-09 DOI: 10.1016/j.physd.2026.135112

Qi Han , Shijiao Xing , Xuexin Huang , Xiao Wu , Junlin Li

{"title":"Entanglement transformation after 2-localization in ring quantum networks","authors":"Qi Han , Shijiao Xing , Xuexin Huang , Xiao Wu , Junlin Li","doi":"10.1016/j.physd.2026.135112","DOIUrl":"10.1016/j.physd.2026.135112","url":null,"abstract":"<div><div>Entanglement is a core resource for quantum computing and quantum information, while quantum networks possess complex entanglement structures and constitute the main challenge for realizing quantum technologies. In this paper, we attempt to implement 2-localization in ring quantum networks (RQNs), verify its feasibility, and explore what transformation entanglement undergoes after 2-localization. Specifically, we transform a chaotic Hamiltonian containing high-order multipartite interactions into an isospectral strict 2-local Hamiltonian via unitary transformation and construct a cost function. Performing numerical simulations from multiple perspectives, and we conclude that applying 2-localization in RQNs is feasible. Meanwhile, we consider the degree of entanglement of RQNs before and after 2-localization based on entanglement entropy and concurrence, and eventually find that 2-localization fundamentally changes the entanglement structure of RQNs: the entanglement scaling behavior shifts from volume law to area law. That is, entanglement changes from global genuine multipartite entanglement to localized bipartite entanglement, and entanglement resources are selectively redistributed on specific edges. This discovery provides a new idea for resource optimization in quantum computing and entanglement optimization in quantum networks.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"488 ","pages":"Article 135112"},"PeriodicalIF":2.9,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145979130","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Nonlinear dynamics of periodic Lugiato-Lefever waves against sums of co-periodic and localized perturbations 周期Lugiato-Lefever波对共周期和局域扰动和的非线性动力学

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-04-01 Epub Date: 2025-12-23 DOI: 10.1016/j.physd.2025.135079

Joannis Alexopoulos

引用次数: 0

Modulation of fast and slow magnetosonic waves in a magnetorotating quantum plasma 磁旋转量子等离子体中快慢磁声波的调制

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-04-01 Epub Date: 2025-12-31 DOI: 10.1016/j.physd.2025.135096

Mahmood A.H. Khaled , Yusra A.A. Hager , Mohamed A. Shukri

{"title":"Modulation of fast and slow magnetosonic waves in a magnetorotating quantum plasma","authors":"Mahmood A.H. Khaled , Yusra A.A. Hager , Mohamed A. Shukri","doi":"10.1016/j.physd.2025.135096","DOIUrl":"10.1016/j.physd.2025.135096","url":null,"abstract":"<div><div>The amplitude modulation of fast and slow magnetosonic (MS) waves was investigated in a magnetorotating collisional electron-ion degenerate plasma. Based on the quantum magnetohydrodynamic (QMHD) model and the reductive perturbation technique, the dissipative nonlinear Schrödinger equation was developed with the inclusion of the effects of quantum statistics, quantum diffraction, magnetization force, and rotation influences. The contemplated system supported both fast and slow MS waves. The nonlinear dispersions of the MS waves and the nature of the modulation instabilities were analyzed to determine the stable and unstable regions of the modulated waves. It was found that the inclusion of rotation significantly modified the modulation instability (MI) of the MS wave packet. Alternatively, stationary envelope solitary waves could not propagate in the considered plasma as a result of the dissipative impacts. The aspects of dissipative MS rogue waves were discussed due to the regarded plasma parameters. Our results provide a better understanding of the excitation of dissipative rogue waves in laboratory experiments and astrophysical environments, such as neutron stars and white dwarfs.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"488 ","pages":"Article 135096"},"PeriodicalIF":2.9,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145928019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Late-time growth of an inhomogeneous, turbulent mixing layer subjected to transient compression 受瞬态压缩的非均匀湍流混合层的后期增长

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-04-01 Epub Date: 2025-12-20 DOI: 10.1016/j.physd.2025.135056

Bradley Pascoe , Michael Groom , Ben Thornber

{"title":"Late-time growth of an inhomogeneous, turbulent mixing layer subjected to transient compression","authors":"Bradley Pascoe , Michael Groom , Ben Thornber","doi":"10.1016/j.physd.2025.135056","DOIUrl":"10.1016/j.physd.2025.135056","url":null,"abstract":"<div><div>Recent engineering models of turbulent mixing layers under strain imply that there may be a permanent modification of important mixing layer physics following a temporary application of strain. This paper presents a set of Implicit Large-Eddy Simulations of a canonical Richtmyer-Meshkov instability to explore the validity of this model result. The well-characterised <em>θ</em>-group quarter scale case is modified to include a strain rate which halves domain widths in approximately five eddy turnover times. Following the removal of strain, the observed value of the growth rate exponent <span><math><mrow><mi>θ</mi><mo>=</mo><mn>0.112</mn></mrow></math></span> which is a 2.5 times reduction compared with the unstrained case. Whilst <em>θ</em> is slowly rising at late time, the actual change in <em>θ</em> is qualitatively in good agreement with the engineering model but is quantitatively a much greater change than expected. Mixedness also increases significantly, from <span><math><mrow><mstyle><mi>Θ</mi></mstyle><mo>=</mo><mn>0.8</mn></mrow></math></span> for the unstrained to <span><math><mrow><mstyle><mi>Θ</mi></mstyle><mo>=</mo><mn>0.9</mn></mrow></math></span> following the application of strain. Turbulent kinetic energy substantially rises during strain, but then dissipates more rapidly following the removal of strain due to the decreased turbulent length-scales. Overall these results demonstrate that modifications to engineering models, such as those proposed by Pascoe et al. (Phys. Rev. Fluids 10 (6), 064609, 2025) are needed to capture these significant variations in flow physics which persist even following the removal of strain. The engineering model further predicts more substantial impacts at high overall compression or expansion as expected in typical applications in inertial confinement fusion, supernovae or explosions.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"488 ","pages":"Article 135056"},"PeriodicalIF":2.9,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145928013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Topological vortex identification for two-dimensional turbulent flows in doubly periodic domains 双周期域二维湍流的拓扑涡识别

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-04-01 Epub Date: 2025-12-31 DOI: 10.1016/j.physd.2025.135099

Mitsuaki Kimura , Takeshi Matsumoto , Takashi Sakajo , Hiroshi Takeuchi , Tomoo Yokoyama

{"title":"Topological vortex identification for two-dimensional turbulent flows in doubly periodic domains","authors":"Mitsuaki Kimura , Takeshi Matsumoto , Takashi Sakajo , Hiroshi Takeuchi , Tomoo Yokoyama","doi":"10.1016/j.physd.2025.135099","DOIUrl":"10.1016/j.physd.2025.135099","url":null,"abstract":"<div><div>The dynamics and statistical properties of two-dimensional (2D) turbulence are often investigated through numerical simulations of incompressible, viscous fluids in doubly periodic domains. A key challenge in 2D turbulence research is accurately identifying and describing statistical properties of its coherent vortex structures within complex flow patterns. This paper addresses this challenge by providing a classification theory for the topological structure of particle orbits generated by instantaneous Hamiltonian flows on the torus <span><math><msup><mi>T</mi><mn>2</mn></msup></math></span>, which serves as a mathematical model for 2D incompressible flows. Based on this theory, we show that the global orbit structure of any Hamiltonian flow can be converted into a planar tree, named a partially Cyclically-Ordered rooted Tree (COT), and its corresponding string expression (COT representation). We apply this conversion algorithm to 2D energy and enstrophy cascade turbulence. The results show that the complex topological structure of turbulent flow patterns can be effectively represented by simple trees and sequences of letters, thereby successfully extracting coherent vortex structures and investigating their statistical properties from a topological perspective.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"488 ","pages":"Article 135099"},"PeriodicalIF":2.9,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145928014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analysis of traveling wave solutions of a qualitative model of combustion waves 燃烧波定性模型的行波解分析

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-04-01 Epub Date: 2026-01-16 DOI: 10.1016/j.physd.2026.135114

Shamil M. Magomedov, Aslan R. Kasimov

引用次数: 0

MHD Front and rear stagnation-point flow of a moving permeable flat surface 移动透水平面前后滞止点流动

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-03-01 Epub Date: 2025-12-11 DOI: 10.1016/j.physd.2025.135075

Mustafa Turkyilmazoglu , Abdulaziz Alotaibi

{"title":"MHD Front and rear stagnation-point flow of a moving permeable flat surface","authors":"Mustafa Turkyilmazoglu , Abdulaziz Alotaibi","doi":"10.1016/j.physd.2025.135075","DOIUrl":"10.1016/j.physd.2025.135075","url":null,"abstract":"<div><div>This study investigates the unsteady stagnation-point flow around a permeable flat body, where the body’s motion relative to the impinging flow can vary with time. Additionally, the surface is subjected to a time-varying magnetic field. We first transform the governing equations of unsteady motion into a similarity form using specific forms of time-dependent variables. This allows us to explore potential exact solutions, leading to the identification of special exponential solutions applicable to both front and rear stagnation-point flows. To further comprehend the interplay of magnetic field, wall transpiration, and wall movement on the stagnation-point flow development, we conduct comprehensive numerical simulations. These simulations clarify the boundaries of unique and multiple solution regimes influenced by these physical parameters. Furthermore, we identify distinct regimes of separated and attached stagnant flow, which hold significant relevance in flow control applications in fluid mechanics and industrial engineering fields. Wall suction acts to regularize the upper branch solutions, and magnetic field enhances the domain of dual solutions, with further enlarging the separated flow zone for the front stagnation-point flow. However, for the rear stagnation-point flow, the upper and lower branches of solutions are linked by the magnetic field.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"487 ","pages":"Article 135075"},"PeriodicalIF":2.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145799684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Sequential clearing dynamics and systemic risk control for multilayer financial system 多层次金融系统的顺序清算动态与系统性风险控制

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-03-01 Epub Date: 2025-12-13 DOI: 10.1016/j.physd.2025.135081

Yi Ding , Chun Yan , Wei Liu , Jiahui Liu

引用次数: 0