SIAM Journal on Applied Mathematics最新文献_第7页

A Generalization of the Wiener–Hopf Method for an Equation in Two Variables with Three Unknown Functions 三未知函数两变量方程的维纳-霍普夫方法广义化

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-03-19 DOI: 10.1137/23m1562445

Anastasia V. Kisil

引用次数: 0

Tangential Cone Condition for the Full Waveform Forward Operator in the Viscoelastic Regime: The Nonlocal Case 粘弹性状态下全波形前向算子的切向锥状条件：非局部情况

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-03-12 DOI: 10.1137/23m1551845

Matthias Eller, Roland Griesmaier, Andreas Rieder

引用次数: 0

Finite Amplitude Analysis of Poiseuille Flow in Fluid Overlying Porous Domain 多孔域上流体中 Poiseuille 流的有限振幅分析

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-03-12 DOI: 10.1137/23m1575809

A. Aleria, A. Khan, P. Bera

{"title":"Finite Amplitude Analysis of Poiseuille Flow in Fluid Overlying Porous Domain","authors":"A. Aleria, A. Khan, P. Bera","doi":"10.1137/23m1575809","DOIUrl":"https://doi.org/10.1137/23m1575809","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 433-463, April 2024. <br/> Abstract. A weakly nonlinear stability analysis of isothermal Poiseuille flow in a fluid overlying porous domain is proposed and investigated in this article. The nonlinear interactions are studied by imposing finite amplitude disturbances to the classical model deliberated in Chang, Chen, and Straughan [J. Fluid Mech., 564 (2006), pp. 287–303]. The order parameter theory is used to ascertain the cubic Landau equation, and the regimes of instability for the bifurcations are determined henceforth. The well-established controlling parameters viz. the depth ratio [math] depth of fluid domain/depth of porous domain), the Beavers–Joseph constant [math], and the Darcy number [math] are inquired upon for the bifurcation phenomena. The imposed finite amplitude disturbances are viewed for bifurcations along the neutral stability curves and away from the critical point as a function of the wave number [math] and the Reynolds number [math]. The even-fluid-layer (porous) mode along the neutral stability curves correlates to the subcritical (supercritical) bifurcation phenomena. On perceiving the bifurcations as a function of [math] and [math] by moving away from the bifurcation/critical point, subcritical bifurcation is observed for increasing [math] and decreasing [math]. In contrast to only fluid flow through a channel, it is found that the inclusion of porous domain aids in the early appearance of subcritical bifurcation when [math]. A considerable difference between the computed skin friction coefficient for the base and the distorted state is observed for small (large) values of [math]. In addition, an intrinsic relation among the mode of instability, bifurcation phenomena, and secondary flow pattern is also observed.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":"76 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140128113","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 Optimal Control Problem for the Wigner Equation 维格纳方程的最优控制问题

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-03-08 DOI: 10.1137/22m1515033

Omar Morandi, Nella Rotundo, Alfio Borzì, Luigi Barletti

引用次数: 0

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. <br/> 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":"26 1","pages":""},"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. <br/> 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":"65 1","pages":""},"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. <br/> 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":"16 1","pages":""},"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