SIAM Journal on Applied Mathematics最新文献_第8页

Coarsening of Thin Films with Weak Condensation 薄膜的粗化与弱凝结

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-03-06 DOI: 10.1137/23m1559336

Hangjie Ji, Thomas P. Witelski

引用次数: 0

Spatiotemporal Patterns in a Lengyel–Epstein Model Near a Turing–Hopf Singular Point 靠近图灵-霍普夫奇点的伦盖尔-爱泼斯坦模型中的时空模式

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-03-01 DOI: 10.1137/23m1552668

Shuangrui Zhao, Pei Yu, Hongbin Wang

{"title":"Spatiotemporal Patterns in a Lengyel–Epstein Model Near a Turing–Hopf Singular Point","authors":"Shuangrui Zhao, Pei Yu, Hongbin Wang","doi":"10.1137/23m1552668","DOIUrl":"https://doi.org/10.1137/23m1552668","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 338-361, April 2024. Abstract. In this paper, a study is carried out on the spatiotemporal dynamics of a Lengyel–Epstein model describing the chlorite-iodine-malonic-acid (CIMA) reaction with time delay and the Neumann boundary condition in a two-dimensional region. The existences for Turing, Hopf, Turing–Turing, Turing–Hopf, and Bogdanov–Takens bifurcations are derived by analyzing the dispersion relation between eigenvalues and wave numbers. In particular, to study the dynamics around a Turing–Hopf bifurcation singularity, the amplitude equations near a codimension-two bifurcation point are derived by employing the weakly nonlinear analysis method. Different spatiotemporal patterns for the system in parameter space are classified and various patterns identified, including spatially homogeneous periodic solutions, mixed mode, coexistence mode, bistable phenomenon, square, hexagon, black eye, two-phase oscillating staggered hexagon lattice, and other complex spatiotemporal patterns. The theoretical predictions are verified by numerical simulations showing an excellent agreement with many reported experiment results not only in chemistry but also in physics and biology. Results presented in this article reveal the mechanism of generating the spatiotemporal patterns of the CIMA reaction.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140017601","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

Computation of Riesz [math]-Capacity [math] of General Sets in [math] Using Stable Random Walks 使用稳定随机漫步计算[数学]中一般集合的[数学]里兹容量[数学

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-03-01 DOI: 10.1137/23m1568077

John P. Nolan, Debra J. Audus, Jack F. Douglas

引用次数: 0

Heat Generation Using Lorentzian Nanoparticles. The Full Maxwell System 利用洛伦兹纳米粒子发热。完整的麦克斯韦系统

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-02-20 DOI: 10.1137/23m1547597

Arpan Mukherjee, Mourad Sini

{"title":"Heat Generation Using Lorentzian Nanoparticles. The Full Maxwell System","authors":"Arpan Mukherjee, Mourad Sini","doi":"10.1137/23m1547597","DOIUrl":"https://doi.org/10.1137/23m1547597","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 285-315, February 2024. Abstract. We analyze and quantify the amount of heat generated by a nanoparticle, injected in a background medium, while excited by incident electromagnetic waves. These nanoparticles are dispersive with electric permittivity following the Lorentz model. The purpose is to determine the quantity of heat generated extremely close to the nanoparticle (at a distance proportional to the radius of the nanoparticle). This study extends our previous results, derived in the 2D TM and TE regimes, to the full Maxwell system. We show that by exciting the medium with incident frequencies close to the plasmonic or Dielectric resonant frequencies, we can generate any desired amount of heat close to the injected nanoparticle while the amount of heat decreases away from it. These results offer a wide range of potential applications in the areas of photo-thermal therapy, drug delivery, and material science, to cite a few. To do so, we employ time-domain integral equations and asymptotic analysis techniques to study the corresponding mathematical model for heat generation. This model is given by the heat equation where the body source term comes from the modulus of the electric field generated by the used incident electromagnetic field. Therefore, we first analyze the dominant term of this electric field by studying the full Maxwell scattering problem in the presence of plasmonic or all-dielectric nanoparticles. As a second step, we analyze the propagation of this dominant electric field in the estimation of the heat potential. For both the electromagnetic and parabolic models, the presence of the nanoparticles is translated into the appearance of large scales in the contrasts for the heat-conductivity (for the parabolic model) and the permittivity (for the full Maxwell system) between the nanoparticle and its surroundings.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139909629","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 Mathematical Theory of Microscale Hydrodynamic Cloaking and Shielding by Electro-Osmosis 微尺度水动力隐形和电渗透屏蔽的数学理论

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-02-12 DOI: 10.1137/23m1554837

Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng

{"title":"A Mathematical Theory of Microscale Hydrodynamic Cloaking and Shielding by Electro-Osmosis","authors":"Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng","doi":"10.1137/23m1554837","DOIUrl":"https://doi.org/10.1137/23m1554837","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 262-284, February 2024. Abstract. In this paper, we develop a general mathematical framework for perfect and approximate hydrodynamic cloaking and shielding of electro-osmotic flow, which is governed by a coupled PDE system via the field-effect electro-osmosis. We first establish the representation formula of the solution of the coupled system using the layer potential techniques. Based on the Fourier series, the perfect hydrodynamic cloaking and shielding conditions are derived for the control region with the cross-sectional shape being an annulus or a confocal ellipses. Then we further propose an optimization scheme for the design of approximate cloaks and shields within general geometries. The well-posedness of the optimization problem is proved. In particular, the conditions that can ensure the occurrence of approximate cloaks and shields for general geometries are also established. Our theoretical findings are validated and supplemented by a variety of numerical results. The results in this paper also provide a mathematical foundation for more complex hydrodynamic cloaking and shielding.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139771008","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

The Scattering Phase: Seen at Last 散射阶段终于看到了

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-02-12 DOI: 10.1137/23m1547147

Jeffrey Galkowski, Pierre Marchand, Jian Wang, Maciej Zworski

引用次数: 0

Linear Regularized 13-Moment Equations with Onsager Boundary Conditions for General Gas Molecules 带昂萨格边界条件的一般气体分子线性正则 13 常量方程

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-02-02 DOI: 10.1137/23m1556472

Zhenning Cai, Manuel Torrilhon, Siyao Yang

引用次数: 0

Jacobi Processes with Jumps as Neuronal Models: A First Passage Time Analysis 作为神经元模型的带跳跃的雅可比过程：首次通过时间分析

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-02-02 DOI: 10.1137/22m1516877

Giuseppe D’Onofrio, Pierre Patie, Laura Sacerdote

{"title":"Jacobi Processes with Jumps as Neuronal Models: A First Passage Time Analysis","authors":"Giuseppe D’Onofrio, Pierre Patie, Laura Sacerdote","doi":"10.1137/22m1516877","DOIUrl":"https://doi.org/10.1137/22m1516877","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 189-214, February 2024. Abstract. To overcome some limits of classical neuronal models, we propose a Markovian generalization of the classical model based on Jacobi processes by introducing downwards jumps to describe the activity of a single neuron. The statistical analysis of interspike intervals is performed by studying the first passage times of the proposed Markovian Jacobi process with jumps through a constant boundary. In particular, we characterize its Laplace transform, which is expressed in terms of some generalization of hypergeometric functions that we introduce, and deduce a closed-form expression for its expectation. Our approach, which is original in the context of first-passage-time problems, relies on intertwining relations between the semigroups of the classical Jacobi process and its generalization, which have been recently established in [P. Cheridito et al., J. Ec. Polytech. - Math., 8 (2021), pp. 331–378]. A numerical investigation of the firing rate of the considered neuron is performed for some choices of the involved parameters and of the jump distributions.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139668699","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

An Inversion Scheme for Elastic Diffraction Tomography Based on Mode Separation 基于模式分离的弹性衍射断层成像反演方案

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-02-01 DOI: 10.1137/22m1538909

Bochra Mejri, Otmar Scherzer

引用次数: 0

Tipping Points in Seed Dispersal Mutualism Driven by Environmental Stochasticity 由环境随机性驱动的种子传播互惠关系中的临界点

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-01-30 DOI: 10.1137/22m1531579

Tao Feng, Zhipeng Qiu, Hao Wang

{"title":"Tipping Points in Seed Dispersal Mutualism Driven by Environmental Stochasticity","authors":"Tao Feng, Zhipeng Qiu, Hao Wang","doi":"10.1137/22m1531579","DOIUrl":"https://doi.org/10.1137/22m1531579","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 114-138, February 2024. Abstract. The mechanism of seed dispersal mutualism is fundamental to understanding vegetation diversity and its conservation. In this study, we propose a stochastic model that extends the classical framework of seed dispersal mutualism to explore the effects of environmental stochasticity on mutualistic interactions between seed dispersers and plants. We first provide a comprehensive picture of the long-term dynamics of seed dispersal mutualism in deterministic and stochastic environments. We then analyze the relationship between stochasticity and the probability and time that seed dispersal mutualism tips between stable states. Additionally, we evaluate the extinction risk of seed dispersal mutualism for different population values and accordingly assign extinction warning levels to these values. The analysis reveals that the impact of environmental stochasticity on tipping phenomena is scenario-dependent but follows some interpretable trends. The probability (resp., time) of tipping towards the extinction state typically increases (resp., decreases) monotonically with noise intensity, while the probability of tipping towards the coexistence state typically peaks at intermediate noise intensity. Noise in animal populations contributes to tipping toward the coexistence state, whereas noise in plant populations slows down the tipping toward the coexistence state. Noise-induced changes in warning levels of initial population values are most pronounced near the boundaries of the basin of attraction, but sufficiently loud noise (especially for plant populations) may alter the risk far from these boundaries. These findings provide a theoretical explanation for the effect of environmental stochasticity on multistability transitions in seed dispersal mutualism and can be utilized to study the interplay between other population systems and environmental stochasticity.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139584171","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