SIAM Journal on Applied Mathematics最新文献_第10页

Design of Defected Non-hermitian Chains of Resonator Dimers for Spatial and Spatio-temporal Localizations 用于空间和时空定位的谐振器二聚体的缺陷非厄米链设计

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-12-05 DOI: 10.1137/23m1573896

Habib Ammari, Erik Orvehed Hiltunen, Thea Kosche

{"title":"Design of Defected Non-hermitian Chains of Resonator Dimers for Spatial and Spatio-temporal Localizations","authors":"Habib Ammari, Erik Orvehed Hiltunen, Thea Kosche","doi":"10.1137/23m1573896","DOIUrl":"https://doi.org/10.1137/23m1573896","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2443-2468, December 2023. Abstract. The aim of this article is to advance the field of metamaterials by proposing formulas for the design of high-contrast metamaterials with prescribed subwavelength defect mode eigenfrequencies. This is achieved in two settings: (i) design of non-Hermitian static materials and (ii) design of instantly changing non-Hermitian time-dependent materials. The design of static materials is achieved via characterizing equations for the defect mode eigenfrequencies in the setting of a defected dimer material. These characterizing equations are the basis for obtaining formulas for the material parameters of the defect which admit given defect mode eigenfrequencies. Explicit formulas are provided in the setting of one and two given defect mode eigenfrequencies in the setting of a defected chain of dimers. In the time-dependent case, we first analyze the influence of time boundaries on the subwavelength solutions. We find that subwavelength solutions are preserved if and only if the material parameters satisfy a temporal Snell’s law across the time boundary. The same result also identifies the change of the time frequencies uniquely. Combining this result with those on the design of static materials, we obtain an explicit formula for the material design of instantly changing defected dimer materials which admit subwavelength modes with prescribed time-dependent defect mode eigenfrequency. Finally, we use this formula to create materials which admit spatio-temporally localized defect modes.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2023-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527994","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

Spectral Patterns of Elastic Transmission Eigenfunctions: Boundary Localization, Surface Resonance, and Stress Concentration 弹性传输特征函数的谱图:边界局部化、表面共振和应力集中

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-12-05 DOI: 10.1137/22m1538417

Yan Jiang, Hongyu Liu, Jiachuan Zhang, Kai Zhang

引用次数: 1

Homogenization for a Variational Problem with a Slip Interface Condition 一类具有滑移界面条件的变分问题的均匀化

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-30 DOI: 10.1137/22m1506961

Miao-jung Yvonne Ou, Silvia Jiménez Bolaños

{"title":"Homogenization for a Variational Problem with a Slip Interface Condition","authors":"Miao-jung Yvonne Ou, Silvia Jiménez Bolaños","doi":"10.1137/22m1506961","DOIUrl":"https://doi.org/10.1137/22m1506961","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2390-2417, December 2023. Abstract. Inspired by applications, we study the effect of interface slip on the effective wave propagation in poroelastic materials, which are composites consisting of elastic frames whose pore space is filled with fluid. The current literature on the homogenization for the poroelastic wave equations are all based on the no-slip interface condition posed on the microscale. However, for certain pore fluids, the no-slip condition is known to be physically invalid. In the literature, slip boundary conditions have been considered for porous materials with rigid solid frames. For these rigid porous materials, the wave can only propagate in the pore fluid and hence the equations for the microscale are posed only in the pore space. Consequently, the slip on the interface involves only the fluid velocity and the fluid stress. In contrast, for poroelastic materials, the wave can propagate not only in the pore fluid but also in the solid frame; hence the slip conditions involve the velocities on both sides of the interface, rather than just the fluid side. With this slip condition, a variational boundary value problem governing the small vibrations of a periodic mixture of an elastic solid and a slightly viscous fluid is studied in this paper. The method of two-scale convergence is used to obtain the macroscopic behavior of the solution and to identify the role played by the slip interface condition.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527999","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

Multiscale Modeling and Analysis of Growth of Plant Tissues 植物组织生长的多尺度建模与分析

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-29 DOI: 10.1137/23m1553315

Arezki Boudaoud, Annamaria Kiss, Mariya Ptashnyk

引用次数: 1

A Density Description of a Bounded-Confidence Model of Opinion Dynamics on Hypergraphs 超图上意见动态有界置信度模型的密度描述

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-28 DOI: 10.1137/22m148608x

Weiqi Chu, Mason A. Porter

引用次数: 0

Hypernetworks: Cluster Synchronization Is a Higher-Order Effect 超级网络:集群同步是一种高阶效应

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-28 DOI: 10.1137/23m1561075

Sören von der Gracht, Eddie Nijholt, Bob Rink

{"title":"Hypernetworks: Cluster Synchronization Is a Higher-Order Effect","authors":"Sören von der Gracht, Eddie Nijholt, Bob Rink","doi":"10.1137/23m1561075","DOIUrl":"https://doi.org/10.1137/23m1561075","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2329-2353, December 2023. Abstract. Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can then be encoded by means of a hypernetwork. In this paper we consider dynamical systems on hypernetworks by defining a class of admissible maps for every such hypernetwork. We explain how to classify robust cluster synchronization patterns on hypernetworks by finding balanced partitions, and we generalize the concept of a graph fibration to the hypernetwork context. We also show that robust synchronization patterns are only fully determined by polynomial admissible maps of high order. This means that, unlike in dyadic networks, cluster synchronization on hypernetworks is a higher-order, i.e., nonlinear, effect. We give a formula, in terms of the order of the hypernetwork, for the degree of the polynomial admissible maps that determine robust synchronization patterns. We also demonstrate that this degree is optimal by investigating a class of examples. We conclude by demonstrating how this effect may cause remarkable synchrony breaking bifurcations that occur at high polynomial degree.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527990","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: 3

A Multifaceted Study of Nematic Order Reconstruction in Microfluidic Channels 微流控通道中向列有序重构的多方面研究

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-27 DOI: 10.1137/22m1490909

James Dalby, Yucen Han, Apala Majumdar, Lidia Mrad

引用次数: 1

Prevalence of Multistationarity and Absolute Concentration Robustness in Reaction Networks 反应网络中多平稳性和绝对浓度鲁棒性的普遍性

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-20 DOI: 10.1137/23m1549316

Badal Joshi, Nidhi Kaihnsa, Tung D. Nguyen, Anne Shiu

{"title":"Prevalence of Multistationarity and Absolute Concentration Robustness in Reaction Networks","authors":"Badal Joshi, Nidhi Kaihnsa, Tung D. Nguyen, Anne Shiu","doi":"10.1137/23m1549316","DOIUrl":"https://doi.org/10.1137/23m1549316","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2260-2283, December 2023. Abstract. For reaction networks arising in systems biology, the capacity for two or more steady states, that is, multistationarity, is an important property that underlies biochemical switches. Another property receiving much attention recently is absolute concentration robustness (ACR), which means that some species concentration is the same at all positive steady states. In this work, we investigate the prevalence of each property while paying close attention to when the properties occur together. Specifically, we consider a stochastic block framework for generating random networks and prove edge-probability thresholds at which, with high probability, multistationarity appears and ACR becomes rare. We also show that the small window in which both properties occur only appears in networks with many species. Taken together, our results confirm that, in random reversible networks, ACR and multistationarity together, or even ACR on its own, is highly atypical. Our proofs rely on two prior results, one pertaining to the prevalence of networks with deficiency zero and the other “lifting” multistationarity from small networks to larger ones.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138528019","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: 2

Power-Engine-Load Form for Dynamic Absolute Concentration Robustness 动力-发动机负载形式的动态绝对集中稳健性

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-20 DOI: 10.1137/22m1535450

Badal Joshi, Gheorghe Craciun

引用次数: 0

Cell Polarity and Movement with Reaction-Diffusion and Moving Boundary: Rigorous Model Analysis and Robust Simulations 具有反应扩散和移动边界的细胞极性和运动:严格的模型分析和鲁棒模拟

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-16 DOI: 10.1137/22m1506766

Shuang Liu, Li-Tien Cheng, Bo Li

{"title":"Cell Polarity and Movement with Reaction-Diffusion and Moving Boundary: Rigorous Model Analysis and Robust Simulations","authors":"Shuang Liu, Li-Tien Cheng, Bo Li","doi":"10.1137/22m1506766","DOIUrl":"https://doi.org/10.1137/22m1506766","url":null,"abstract":"SIAM Journal on Applied Mathematics, Ahead of Print. Abstract. Cell polarity and movement are fundamental to many biological functions. Experimental and theoretical studies have indicated that interactions of certain proteins lead to the cell polarization which plays a key role in controlling the cell movement. We study the cell polarity and movement based on a class of biophysical models that consist of reaction-diffusion equations for different proteins and the dynamics of a moving cell boundary. Such a moving boundary is often simulated by a phase-field model. We first apply the matched asymptotic analysis to give a rigorous derivation of the sharp-interface model of the cell boundary from a phase-field model. We then develop a robust numerical approach that combines the level-set method to track the sharp boundary of a moving cell and accurate discretization techniques for solving the reaction-diffusion equations on the moving cell region. Our extensive numerical simulations predict the cell polarization under various kinds of stimuli and capture both the linear and the circular trajectories of a moving cell for a long period of time. In particular, we have identified some key parameters controlling different cell trajectories that are less accurately predicted by reduced models. Our work has linked different models and also developed tools that can be adapted for the challenging three-dimensional simulations.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138528016","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