发布求助
文献互助 智能选刊 最新文献

SIAM Journal on Applied Mathematics最新文献

筛选
英文 中文
Stability of the Non-Hermitian Skin Effect in One Dimension 一维非赫米提皮肤效应的稳定性
IF 1.9 4区 数学
SIAM Journal on Applied Mathematics Pub Date : 2024-08-05 DOI: 10.1137/23m1610537
Habib Ammari, Silvio Barandun, Bryn Davies, Erik Orvehed Hiltunen, Ping Liu
{"title":"Stability of the Non-Hermitian Skin Effect in One Dimension","authors":"Habib Ammari, Silvio Barandun, Bryn Davies, Erik Orvehed Hiltunen, Ping Liu","doi":"10.1137/23m1610537","DOIUrl":"https://doi.org/10.1137/23m1610537","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 4, Page 1697-1717, August 2024. <br/> Abstract. This paper shows both analytically and numerically that the skin effect in systems of non-Hermitian subwavelength resonators is robust with respect to random imperfections in the system. The subwavelength resonators are highly contrasting material inclusions that resonate in a low-frequency regime. The non-Hermiticity is due to the introduction of a directional damping term (motivated by an imaginary gauge potential), which leads to a skin effect that is manifested by the system’s eigenmodes accumulating at one edge of the structure. We elucidate the topological protection of the associated (real) eigenfrequencies and illustrate numerically the competition between the two different localization effects present when the system is randomly perturbed: the non-Hermitian skin effect and the disorder-induced Anderson localization. We show numerically that, as the strength of the disorder increases, more and more eigenmodes become localized in the bulk. Our results are based on an asymptotic matrix model for subwavelength physics and can be generalized also to tight-binding models in condensed matter theory.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141942440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Asymptotic and Transient Dynamics of a Stoichiometric Algal Growth Model with Two-Stage Phosphate Uptake 具有两阶段磷酸盐吸收的定量藻类生长模型的渐近和瞬态动力学分析
IF 1.9 4区 数学
SIAM Journal on Applied Mathematics Pub Date : 2024-08-02 DOI: 10.1137/23m1611750
Shufei Gao, Sanling Yuan, Anglu Shen, Hao Wang
{"title":"Asymptotic and Transient Dynamics of a Stoichiometric Algal Growth Model with Two-Stage Phosphate Uptake","authors":"Shufei Gao, Sanling Yuan, Anglu Shen, Hao Wang","doi":"10.1137/23m1611750","DOIUrl":"https://doi.org/10.1137/23m1611750","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 4, Page 1668-1696, August 2024. <br/> Abstract. Exploring the mechanism of phosphate ([math]) uptake by algae is essential to accurate prediction and a comprehensive understanding of harmful algal blooms (HABs). Previous experimental studies have revealed the existence of two distinct [math] pools, namely the surface-adsorbed [math] pool and the intracellular [math] pool, in certain species of algae. Motivated by these observations, a novel stoichiometric model, which incorporates a two-stage [math] uptake process, is proposed and analyzed to investigate the impact of these [math] pools on algal growth. Model validation results show that with proper parameterizations, this model can accurately capture algal growth dynamics in the laboratory and in the field. The asymptotic dynamics are explored through a complete mathematical analysis and the transient dynamics are explored through multiscale analysis, revealing the driving mechanism of different growth phases of algae. Furthermore, we derive an approximate formula for estimating the switching time from high to low growth rate in algae, which can serve as a valuable tool for predicting the duration of HABs. These findings contribute to the strengthening of prediction and improving understanding of HABs.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141885388","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Prandtl–Batchelor Flow in a Cylindrical Domain 圆柱形域中的普朗特-巴歇尔流
IF 1.9 4区 数学
SIAM Journal on Applied Mathematics Pub Date : 2024-07-31 DOI: 10.1137/24m1637313
Emmanuel Dormy, H. Keith Moffatt
{"title":"Prandtl–Batchelor Flow in a Cylindrical Domain","authors":"Emmanuel Dormy, H. Keith Moffatt","doi":"10.1137/24m1637313","DOIUrl":"https://doi.org/10.1137/24m1637313","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 4, Page 1658-1667, August 2024. <br/> Abstract. In this paper, the classical problem of two-dimensional flow in a cylindrical domain, driven by a nonuniform tangential velocity imposed at the boundary, is reconsidered in straightforward manner. When the boundary velocity is a pure rotation [math] plus a small perturbation [math] and when the Reynolds number based on [math] is large (Re [math]), this flow is of “Prandtl–Batchelor” type, namely, a flow of uniform vorticity [math] in a core region inside a viscous boundary layer of thickness O(Re)[math]. The O[math] contribution to [math] is determined here by asymptotic analysis up to O[math]. The result is in good agreement with numerical computation for Re [math].","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141885389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A Stable Imaging Functional for Anisotropic Periodic Media in Electromagnetic Inverse Scattering 电磁反向散射中各向异性周期介质的稳定成像函数
IF 1.9 4区 数学
SIAM Journal on Applied Mathematics Pub Date : 2024-07-29 DOI: 10.1137/23m1577080
Dinh-Liem Nguyen, Trung Truong
{"title":"A Stable Imaging Functional for Anisotropic Periodic Media in Electromagnetic Inverse Scattering","authors":"Dinh-Liem Nguyen, Trung Truong","doi":"10.1137/23m1577080","DOIUrl":"https://doi.org/10.1137/23m1577080","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 4, Page 1631-1657, August 2024. <br/> Abstract. This paper addresses the inverse scattering problem for Maxwell’s equations in three-dimensional anisotropic periodic media. We study a new imaging functional for the fast and robust reconstruction of the shape of anisotropic periodic scatterers from boundary measurements of the scattered field. The implementation of this imaging functional is simple and avoids the need to solve an ill-posed problem. The resolution and stability analysis of the imaging functional is investigated. Results from our numerical study indicate that this imaging functional is more stable than that of the factorization method and more accurate than that of the orthogonality sampling method in reconstructing periodic scatterers.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141872131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Pseudodifferential Models for Ultrasound Waves with Fractional Attenuation 具有分数衰减的超声波伪微分模型
IF 1.9 4区 数学
SIAM Journal on Applied Mathematics Pub Date : 2024-07-26 DOI: 10.1137/24m1634011
Sebastian Acosta, Jesse Chan, Raven Johnson, Benjamin Palacios
{"title":"Pseudodifferential Models for Ultrasound Waves with Fractional Attenuation","authors":"Sebastian Acosta, Jesse Chan, Raven Johnson, Benjamin Palacios","doi":"10.1137/24m1634011","DOIUrl":"https://doi.org/10.1137/24m1634011","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 4, Page 1609-1630, August 2024. <br/> Abstract. To strike a balance between modeling accuracy and computational efficiency for simulations of ultrasound waves in soft tissues, we derive a pseudodifferential factorization of the wave operator with fractional attenuation. This factorization allows us to approximately solve the Helmholtz equation via one-way (transmission) or two-way (transmission and reflection) sweeping schemes tailored to high-frequency wave fields. We provide explicitly the three highest order terms of the pseudodifferential expansion to incorporate the well-known square-root first order symbol for wave propagation, the zeroth order symbol for amplitude modulation due to changes in wave speed and damping, and the next symbol to model fractional attenuation. We also propose wide-angle Padé approximations for the pseudodifferential operators corresponding to these three highest order symbols. Our analysis provides insights regarding the role played by the frequency and the Padé approximations in the estimation of error bounds. We also provide a proof-of-concept numerical implementation of the proposed method and test the error estimates numerically.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141778882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Joint Impact of Maturation Delay and Fear Effect on the Population Dynamics of a Predator-Prey System 成熟延迟和恐惧效应对捕食者-猎物系统种群动态的共同影响
IF 1.9 4区 数学
SIAM Journal on Applied Mathematics Pub Date : 2024-07-22 DOI: 10.1137/23m1596569
Xiaoke Ma, Ying Su, Xingfu Zou
{"title":"Joint Impact of Maturation Delay and Fear Effect on the Population Dynamics of a Predator-Prey System","authors":"Xiaoke Ma, Ying Su, Xingfu Zou","doi":"10.1137/23m1596569","DOIUrl":"https://doi.org/10.1137/23m1596569","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 4, Page 1557-1579, August 2024. <br/> Abstract. In this paper, taking into account the maturation period of prey, we propose a predator-prey model with time delay and fear effect. We confirm the well-posedness of the model system, explore the stability of the equilibria and uniform persistence of the model, and investigate Hopf bifurcations. Moreover, we also numerically explore the global continuation of the Hopf bifurcation. Interestingly, our results show that as the delay increases, the stable and unstable periodic solutions may both disappear and the unstable positive equilibrium may regain its stability. These results reveal how the maturation delay and the fear effect jointly impact the population dynamics of the predator-prey system.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141742491","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Uniform Asymptotic Approximations for the Phase Plane Trajectories of the SIR Model with Vital Dynamics 具有生命动力学的 SIR 模型相平面轨迹的均匀渐近法
IF 1.9 4区 数学
SIAM Journal on Applied Mathematics Pub Date : 2024-07-22 DOI: 10.1137/23m1576050
Todd L. Parsons, David J. D. Earn
{"title":"Uniform Asymptotic Approximations for the Phase Plane Trajectories of the SIR Model with Vital Dynamics","authors":"Todd L. Parsons, David J. D. Earn","doi":"10.1137/23m1576050","DOIUrl":"https://doi.org/10.1137/23m1576050","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 4, Page 1580-1608, August 2024. <br/> Abstract. We derive accurate, closed-form analytical approximations for the phase-plane trajectories of the standard susceptible-infectious-removed (SIR) epidemic model, including host births and deaths, giving a complete description of the transient dynamics. Our approximations for the SIR ordinary differential equations also allow us to provide convenient, accurate analytical approximations for the associated Poincaré map, and the minimum and maximum susceptible and infectious host densities in each epidemic wave. Our analysis involves matching asymptotic expansions across branch cuts of the Lambert [math] function.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141778881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Adaptive Control and Synchronization of Complex Dynamical Systems with Various Types of Delays and Stochastic Disturbances 具有各种延迟和随机扰动的复杂动力系统的自适应控制和同步化
IF 1.9 4区 数学
SIAM Journal on Applied Mathematics Pub Date : 2024-07-18 DOI: 10.1137/24m1639440
Shijie Zhou, Xiaoxiao Peng, Wei Lin, Xuerong Mao
{"title":"Adaptive Control and Synchronization of Complex Dynamical Systems with Various Types of Delays and Stochastic Disturbances","authors":"Shijie Zhou, Xiaoxiao Peng, Wei Lin, Xuerong Mao","doi":"10.1137/24m1639440","DOIUrl":"https://doi.org/10.1137/24m1639440","url":null,"abstract":"","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141825166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A Simple but Effective Bushfire Model: Analysis and Real-Time Simulations 简单而有效的丛林火灾模型：分析和实时模拟
IF 1.9 4区 数学
SIAM Journal on Applied Mathematics Pub Date : 2024-07-15 DOI: 10.1137/24m1644596
Serena Dipierro, Enrico Valdinoci, Glen Wheeler, Valentina-Mira Wheeler
{"title":"A Simple but Effective Bushfire Model: Analysis and Real-Time Simulations","authors":"Serena Dipierro, Enrico Valdinoci, Glen Wheeler, Valentina-Mira Wheeler","doi":"10.1137/24m1644596","DOIUrl":"https://doi.org/10.1137/24m1644596","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 4, Page 1504-1514, August 2024. <br/> Abstract. We introduce a simple mathematical model for bushfires accounting for temperature diffusion in the presence of a combustion term which is activated above a given ignition state. The model also takes into consideration the effect of the environmental wind and of the pyrogenic flow. The simplicity of the model is highlighted by the fact that it is described by a single scalar equation, containing only four terms, making it very handy for rapid and effective numerical simulations which run in real time. In spite of its simplicity, the model is in agreement with data collected from bushfire experiments in the lab, as well as with spreading of bushfires that have been observed in the real world. Moreover, the equation describing the temperature evolution can be easily linked to a geometric evolution problem describing the level sets of the ignition state.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141720925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Exponential Asymptotics for a Model Problem of an Equatorially Trapped Rossby Wave 赤道陷阱罗斯比波模型问题的指数渐近线
IF 1.9 4区 数学
SIAM Journal on Applied Mathematics Pub Date : 2024-07-15 DOI: 10.1137/23m1552437
Josh Shelton, S. J. Chapman, Philippe Trinh
{"title":"Exponential Asymptotics for a Model Problem of an Equatorially Trapped Rossby Wave","authors":"Josh Shelton, S. J. Chapman, Philippe Trinh","doi":"10.1137/23m1552437","DOIUrl":"https://doi.org/10.1137/23m1552437","url":null,"abstract":"","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141647731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信