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

On the Riemann Problem for the Foam Displacement in Porous Media with Linear Adsorption 论线性吸附多孔介质中泡沫位移的黎曼问题

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-03-29 DOI: 10.1137/23m1566649

Giulia C. Fritis, Pavel S. Paz, Luis F. Lozano, Grigori Chapiro

引用次数: 0

Nontrivial Traveling Waves of Phage-Bacteria Models in Different Media Types 噬菌体-细菌模型在不同类型培养基中的非轻微移动波

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-03-29 DOI: 10.1137/22m1505086

Zhenkun Wang, Hao Wang

{"title":"Nontrivial Traveling Waves of Phage-Bacteria Models in Different Media Types","authors":"Zhenkun Wang, Hao Wang","doi":"10.1137/22m1505086","DOIUrl":"https://doi.org/10.1137/22m1505086","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 556-580, April 2024. <br/> Abstract. Phages are ubiquitous in nature, but many essential factors of host-phage biology have not yet been integrated into mathematical models. In this paper, we investigate a spatial phage-bacteria model to describe the propagation of phages and bacteria in different types of nutrient media. Unlike existing models, we construct a more realistic reaction-diffusion model that incorporates inoculum and bacterial growth and movement, then rigorous mathematical analysis is challenging. We study traveling wave solutions and obtain complete information about the existence and nonexistence of nontrivial traveling wave solutions. The threshold conditions for the existence and nonexistence of traveling wave solutions are obtained by using Schauder’s fixed point theorem, limiting argument, and one-sided Laplace transform. Considering different propagation media, we extend the existence of traveling wave solutions from liquid nutrition model to agar model. Moreover, in the absence of bacterial mortality, we obtain the existence of a new traveling wave solution describing phage invasion. We attempt to explain the occurrence of co-transport by the existence and nonexistence of traveling waves, and screen out the key parameters affecting the co-transport of phages and bacteria according to the definition of critical wave speed. Finally, we provide numerical simulations to verify the theoretical results and reveal the effects of key parameters on the propagation of phages and bacteria.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140325462","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

Two-Dimensional Sloshing: Domains with Interior “High Spots” 二维荡流：具有内部 "高点 "的域

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-03-26 DOI: 10.1137/22m1541332

Nikolay Kuznetsov, Oleg Motygin

引用次数: 0

Singularities of Capillary-Gravity Waves on Dielectric Fluid Under Normal Electric Fields 法向电场下介质流体上的毛细管重力波奇异性

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-03-26 DOI: 10.1137/23m1575743

Tao Gao, Zhan Wang, Demetrios Papageorgiou

{"title":"Singularities of Capillary-Gravity Waves on Dielectric Fluid Under Normal Electric Fields","authors":"Tao Gao, Zhan Wang, Demetrios Papageorgiou","doi":"10.1137/23m1575743","DOIUrl":"https://doi.org/10.1137/23m1575743","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 523-542, April 2024. <br/> Abstract. As summarized by Papageorgiou [Annu. Rev. Fluid Mech., 51 (2019), pp. 155–187], a strong normal electric field can cause instability of the interface in a hydrodynamic system. In the present work, singularities arising in electrocapillary-gravity waves on a dielectric fluid of finite depth due to an electric field imposed in the direction perpendicular to the undisturbed free surface are investigated. In shallow water, for a small-amplitude periodic disturbance in the linearly unstable regime, the outcome of the system evolution is that the gas-liquid interface touches the solid bottom boundary, causing a rupture. A quasi-linear hyperbolic model is derived for the long-wave limit and used to study the formation of the touch-down singularity. The theoretical predictions are compared with the fully nonlinear computations by a time-dependent conformal mapping for the electrified Euler equations, showing good agreement. On the other hand, a nonlinear dispersive model system is derived for the deep-water scenario, which predicts the blowup singularity (i.e., the wave amplitude tends to infinity in a finite time). However, when the fluid thickness is significantly large, one can numerically show the self-intersection nonphysical wave structure or 2/3 power cusp singularity in the full Euler equations.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140302377","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

Steady Wind-Generated Gravity-Capillary Waves on Viscous Liquid Film Flows 粘性液体薄膜流上由风产生的稳定重力-毛细管波

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-03-21 DOI: 10.1137/23m1586318

Y. Meng, D. T. Papageorgiou, J.-M. Vanden-Broeck

引用次数: 0

Conservation Laws with Nonlocal Velocity: The Singular Limit Problem 非局部速度守恒定律：奇异极限问题

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2024-03-21 DOI: 10.1137/22m1530471

Jan Friedrich, Simone Göttlich, Alexander Keimer, Lukas Pflug

{"title":"Conservation Laws with Nonlocal Velocity: The Singular Limit Problem","authors":"Jan Friedrich, Simone Göttlich, Alexander Keimer, Lukas Pflug","doi":"10.1137/22m1530471","DOIUrl":"https://doi.org/10.1137/22m1530471","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 497-522, April 2024. <br/> Abstract. We consider conservation laws with nonlocal velocity and show, for nonlocal weights of exponential type, that the unique solutions converge in a weak or strong sense (dependent on the regularity of the velocity) to the entropy solution of the local conservation law when the nonlocal weight approaches a Dirac distribution. To this end, we first establish a uniform total variation bound on the nonlocal velocity, which can be used to pass to the limit in the weak solution. For the required entropy admissibility, we use a tailored entropy-flux pair and take advantage of a well-known result that a single strictly convex entropy-flux pair is sufficient for uniqueness, given some additional constraints on the velocity. For general weights, we show that the monotonicity of the initial datum is preserved over time, which enables us to prove convergence to the local entropy solution for rather general kernels if the initial datum is monotone. This case covers the archetypes of local conservation laws: shock waves and rarefactions. These results suggest that a “nonlocal in the velocity” approximation might be better suited to approximating local conservation laws than a nonlocal in the solution approximation, in which such monotonicity only holds for specific velocities.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140202269","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 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":null,"pages":null},"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