SIAM Journal on Applied Mathematics最新文献

Stable Determination of Time-Dependent Collision Kernel in the Nonlinear Boltzmann Equation 稳定确定非线性玻尔兹曼方程中与时间有关的碰撞核

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-09-17 DOI: 10.1137/23m1604060

Ru-Yu Lai, Lili Yan

引用次数: 0

The Impact of High-Frequency-Based Stability on the Onset of Action Potentials in Neuron Models 神经元模型中基于高频的稳定性对动作电位发生的影响

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-09-16 DOI: 10.1137/24m1645632

Eduardo Cerpa, Nathaly Corrales, Matías Courdurier, Leonel E. Medina, Esteban Paduro

引用次数: 0

Periodic Dynamics of a Reaction-Diffusion-Advection Model with Michaelis–Menten Type Harvesting in Heterogeneous Environments 异质环境中具有 Michaelis-Menten 型收获的反应-扩散-平流模型的周期动力学

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-09-12 DOI: 10.1137/23m1600852

Yunfeng Liu, Jianshe Yu, Yuming Chen, Zhiming Guo

{"title":"Periodic Dynamics of a Reaction-Diffusion-Advection Model with Michaelis–Menten Type Harvesting in Heterogeneous Environments","authors":"Yunfeng Liu, Jianshe Yu, Yuming Chen, Zhiming Guo","doi":"10.1137/23m1600852","DOIUrl":"https://doi.org/10.1137/23m1600852","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 5, Page 1891-1909, October 2024. Abstract. Organisms inhabit streams, rivers, and estuaries where they are constantly subject to drift and overfishing. Consequently, these organisms often confront the risk of extinction. Can a reasonable fishing ban satisfy the human need for sufficient aquatic proteins without depleting fishery resources? We propose a reaction-diffusion-advection model to answer this question. The model consists of two subequations, which are constantly switched to describe closed seasons and open seasons with Michaelis–Menten type harvesting. We define a threshold value [math] for the duration of the fishing ban ([math]) and establish the relationships between [math] and each of the downstream end [math], the advection rate [math], and the diffusion rate [math]. Under certain conditions, the trivial equilibrium point 0 is globally asymptotically stable if [math]. When [math], we obtain sufficient conditions on the existence of a globally asymptotically stable periodic solution based on the thresholds in all parameter settings. Finally, some discussions on our findings are provided.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":"59 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142219280","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 Novel Algebraic Approach to Time-Reversible Evolutionary Models 时间可逆进化模型的新代数方法

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-08-22 DOI: 10.1137/23m1605302

Marta Casanellas, Roser Homs, Angélica Torres

引用次数: 0

Increasing Stability of the First Order Linearized Inverse Schrödinger Potential Problem with Integer Power Type Nonlinearities 具有整数幂型非线性的一阶线性化反薛定谔势问题的稳定性提升

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-08-22 DOI: 10.1137/22m1542817

Sen Zou, Shuai Lu, Boxi Xu

引用次数: 0

The Repulsion Property in Nonlinear Elasticity and a Numerical Scheme to Circumvent It 非线性弹性中的斥力特性和规避它的数值方案

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-08-21 DOI: 10.1137/23m1583144

Pablo V. Negrón-Marrero, Jeyabal Sivaloganathan

{"title":"The Repulsion Property in Nonlinear Elasticity and a Numerical Scheme to Circumvent It","authors":"Pablo V. Negrón-Marrero, Jeyabal Sivaloganathan","doi":"10.1137/23m1583144","DOIUrl":"https://doi.org/10.1137/23m1583144","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 4, Page 1818-1844, August 2024. Abstract. For problems in the Calculus of Variations that exhibit the Lavrentiev phenomenon, it is known that a repulsion property may hold, that is, if one approximates the global minimizer in these problems by smooth functions, then the approximate energies will blow up. Thus, standard numerical schemes, like the finite element method, may fail when applied directly to these types of problems. In this paper we prove that a repulsion property holds for variational problems in three-dimensional elasticity that exhibit cavitation. In addition, we propose a numerical scheme that circumvents the repulsion property, which is an adaptation of the Modica and Mortola functional for phase transitions in liquids, in which the phase function is coupled, via the determinant of the deformation gradient, to the stored energy functional. We show that the corresponding approximations by this method satisfy the lower bound [math]–convergence property in the multidimensional, nonradial, case. The convergence to the actual cavitating minimizer is established for a spherical body, in the case of radial deformations.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":"4 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142219279","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

Jump Conditions for Boussinesq Equations Due to an Abrupt Depth Transition 深度突变导致的布森斯方程跃迁条件

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-08-13 DOI: 10.1137/23m1602437

Eduardo Monsalve, Kim Pham, Agnès Maurel

引用次数: 0

A Numerical Scheme and Validation of the Asymptotic Energy Release Rate Formula for a 2D Gel Thin-Film Debonding Problem 二维凝胶薄膜脱粘问题的数值方案和渐近能量释放率公式验证

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-08-13 DOI: 10.1137/23m1579042

Maria Carme Calderer, Duvan Henao, Manuel A. Sánchez, Ronald A. Siegel, Sichen Song

{"title":"A Numerical Scheme and Validation of the Asymptotic Energy Release Rate Formula for a 2D Gel Thin-Film Debonding Problem","authors":"Maria Carme Calderer, Duvan Henao, Manuel A. Sánchez, Ronald A. Siegel, Sichen Song","doi":"10.1137/23m1579042","DOIUrl":"https://doi.org/10.1137/23m1579042","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 4, Page 1766-1791, August 2024. Abstract. This article presents a numerical scheme for the variational model formulated by Calderer et al. [J. Elast., 141 (2020), pp. 51–73] for the debonding of a hydrogel film from a rigid substrate upon exposure to solvent, in the two-dimensional case of a film placed between two parallel walls. It builds upon the scheme introduced by Song et al. [J. Elast., 153 (2023), pp. 651–679] for completely bonded gels, which fails to be robust in the case of gels that are already debonded. The new scheme is used to compute the energy release rate function, based on which predictions are offered for the threshold thickness below which the gel/substrate system is stable against debonding. This study, in turn, makes it possible to validate a theoretical estimate for the energy release rate obtained in the cited works, which is based on a thin-film asymptotic analysis and which, due to its explicit nature, is potentially valuable in medical device development. An existence theorem and rigorous justifications of some approximations made in our numerical scheme are also provided.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":"24 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142219287","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

Global Dynamics of Reaction-Diffusion Systems with a Time-Varying Domain 具有时变域的反应-扩散系统的全局动力学

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-08-13 DOI: 10.1137/23m1582990

King-Yeung Lam, Xiao-Qiang Zhao, Min Zhu

{"title":"Global Dynamics of Reaction-Diffusion Systems with a Time-Varying Domain","authors":"King-Yeung Lam, Xiao-Qiang Zhao, Min Zhu","doi":"10.1137/23m1582990","DOIUrl":"https://doi.org/10.1137/23m1582990","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 4, Page 1742-1765, August 2024. Abstract. This paper is devoted to the study of the global dynamics for a large class of reaction-diffusion systems with a time-varying domain. By appealing to the theories of asymptotically autonomous and periodic semiflows, we establish the threshold-type results on the long-time behavior of solutions for such a system in the cases of asymptotically bounded and periodic domains, respectively. To investigate the model system in the case of asymptotically unbounded domain, we first prove the global attractivity for nonautonomous reaction-diffusion systems with asymptotically vanishing diffusion coefficients via the method of sub- and supersolutions and then use the comparison arguments to obtain the threshold dynamics. We also apply these analytical results to a reaction-diffusion model of dengue fever transmission to investigate the effect of time-varying domain on the basic reproduction number. It turns out that the basic reproduction numbers with dengue fever transmission for the asymptotically bounded and unbounded domains are always less than that for the spatially homogeneous case, and under appropriate conditions, the basic reproduction numbers for asymptotically bounded and periodic domains are larger than or equal to that for the stationary bounded domain.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":"111 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142219288","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

Bayesian Experimental Design for Head Imaging by Electrical Impedance Tomography 电阻抗断层扫描头部成像的贝叶斯实验设计

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-08-05 DOI: 10.1137/23m1624634

N. Hyvönen, A. Jääskeläinen, R. Maity, A. Vavilov

{"title":"Bayesian Experimental Design for Head Imaging by Electrical Impedance Tomography","authors":"N. Hyvönen, A. Jääskeläinen, R. Maity, A. Vavilov","doi":"10.1137/23m1624634","DOIUrl":"https://doi.org/10.1137/23m1624634","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 4, Page 1718-1741, August 2024. Abstract. This work considers the optimization of electrode positions in head imaging by electrical impedance tomography. The study is motivated by maximizing the sensitivity of electrode measurements to conductivity changes when monitoring the condition of a stroke patient, which justifies adopting a linearized version of the complete electrode model as the forward model. The algorithm is based on finding a (locally) A-optimal measurement configuration via gradient descent with respect to the electrode positions. The efficient computation of the needed derivatives of the complete electrode model is one of the focal points. Two algorithms are introduced and numerically tested on a three-layer head model. The first one assumes a region of interest and a Gaussian prior for the conductivity in the brain, and it can be run offline, i.e., prior to taking any measurements. The second algorithm first computes a reconstruction of the conductivity anomaly caused by the stroke with an initial electrode configuration by combining lagged diffusivity iteration with sequential linearizations, which can be interpreted to produce an approximate Gaussian probability density for the conductivity perturbation. It then resorts to the first algorithm to find new, more informative positions for the available electrodes with the constructed density as the prior.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":"135 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141942528","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