Nonlinear Analysis-Real World Applications最新文献

{"title":"Homogenization of a finite plasticity model of layered structures with two slip systems","authors":"Akira Ishikawa ,&nbsp;Karel Svadlenka","doi":"10.1016/j.nonrwa.2025.104326","DOIUrl":"10.1016/j.nonrwa.2025.104326","url":null,"abstract":"<div><div>This paper investigates a homogenization problem for composite crystalline materials consisting of two distinct types of parallel layers with two plastic systems. In particular, one of the layers undergoes only local rotations while the other allows rotation and plastic deformation along two different slip directions. We take the <span><math><mi>Γ</mi></math></span>-convergence approach and derive the full homogenized energy in the case of orthogonal slip systems. We also provide additional insight into the problem with general angle between slip directions. The analysis builds upon the work of Christowiak and Kreisbeck (2017), which addresses the problem with a single slip system, and is based on a modification of the classical construction of laminate microstructures. However, several nontrivial difficulties arise due to nonconvex constraints being present in the composite energy. Our motivation is to supply a further step towards understanding real materials which show an interplay of multiple directions of slip.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"84 ","pages":"Article 104326"},"PeriodicalIF":1.8,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143369653","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Financial models and well-posedness properties for symmetric set-valued stochastic differential equations with relaxed Lipschitz condition","authors":"Marek T. Malinowski","doi":"10.1016/j.nonrwa.2025.104323","DOIUrl":"10.1016/j.nonrwa.2025.104323","url":null,"abstract":"<div><div>In this paper, stochastic differential equations are considered in the context of set-valued analysis with solutions that are set-valued stochastic processes. The equations were proposed in the so-called symmetrical form. A variety of set-valued stochastic differential equations that extend well-known single-valued models in financial mathematics are presented. The misconception that the solution of a single-valued equation, starting from a point within the initial value of the set-valued equation, will always remain within the solution of the set-valued equation (i.e., it is a selection) is refuted. Then, the symmetric set-valued differential equation in general form is studied. It is assumed that the coefficients of equation satisfy a very general condition, including that of the Lipschitz type, with a function that appears with a certain integral inequality. The result obtained is that there is a unique solution to the equation considered. It is also shown that the solution is stable with respect to small changes in the equation data. The implications for symmetric set-valued random differential equations and deterministic symmetric set-valued differential equations are also stated.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"84 ","pages":"Article 104323"},"PeriodicalIF":1.8,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143348894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Traveling wave in a ratio-dependent Holling–Tanner system with nonlocal diffusion and strong Allee effect","authors":"Hongliang Li ,&nbsp;Min Zhao ,&nbsp;Rong Yuan","doi":"10.1016/j.nonrwa.2025.104327","DOIUrl":"10.1016/j.nonrwa.2025.104327","url":null,"abstract":"<div><div>This paper explores a ratio-dependent Holling–Tanner predator–prey system with nonlocal diffusion, wherein the prey is subject to strong Allee effect. To be specific, by using Schauder’s fixed point theorem and iterative technique, we establish a theoretical framework regarding the existence of traveling waves. We meticulously construct upper and lower solutions and a novel sequence, and employ the squeeze method to validate the existence of traveling waves for <span><math><mrow><mi>c</mi><mo>&gt;</mo><msup><mrow><mi>c</mi></mrow><mrow><mo>∗</mo></mrow></msup></mrow></math></span>. Additionally, by spreading speed theory and the comparison principle, we confirm the existence of traveling wave with <span><math><mrow><mi>c</mi><mo>=</mo><msup><mrow><mi>c</mi></mrow><mrow><mo>∗</mo></mrow></msup></mrow></math></span>. Finally, we investigate the nonexistence of traveling waves for <span><math><mrow><mi>c</mi><mo>&lt;</mo><msup><mrow><mi>c</mi></mrow><mrow><mo>∗</mo></mrow></msup></mrow></math></span>, and conclusively determine the minimal wave speed.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"84 ","pages":"Article 104327"},"PeriodicalIF":1.8,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143360029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modeling the efficacy of Wolbachia in malaria control with limited public health resources","authors":"Himanshu Jain,&nbsp;Arvind Kumar Sinha","doi":"10.1016/j.nonrwa.2025.104325","DOIUrl":"10.1016/j.nonrwa.2025.104325","url":null,"abstract":"<div><div>Malaria has remained a global health burden over the past few decades. Remote regions with limited healthcare resources are significant contributors to malaria cases worldwide. In the present study, we propose a deterministic compartmental model to explore the dynamics of malaria transmission in the presence of Wolbachia. The nonlinear recovery rate is incorporated to elucidate the impact of available public healthcare resources. The analytical result of the model exhibits the existence of multiple malaria-present endemic equilibria. We observe the coexistence of a malaria-present endemic equilibria with a stable malaria-free equilibria. Sensitivity analysis is performed to explore the relative importance of different parameters. Additionally, the phenomenon of backward bifurcation exists in the proposed model. Numerical simulation validates the analytical results of the model and confirms the existence of backward bifurcation. We demonstrate the inhibition of malaria transmission with the release of Wolbachia-infected mosquitoes in the region with limited availability of public health resources. The simulation suggests the possible increment in the availability of the healthcare system to ensure malaria-free equilibria. We validate the model by fitting it to the reported human infection data from Niterói, Brazil, using 16 months of data collected before and after the release of Wolbachia. These findings will be helpful to healthcare professionals in planning the control strategy of malaria in remote or hard-to-reach locations in the tropical and subtropical regions of the world.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"84 ","pages":"Article 104325"},"PeriodicalIF":1.8,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143180039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Coexistence states for a class of prey–predator models with population flux by attractive transition","authors":"Sheng Xue,&nbsp;Shanbing Li","doi":"10.1016/j.nonrwa.2025.104321","DOIUrl":"10.1016/j.nonrwa.2025.104321","url":null,"abstract":"<div><div>This paper concerns a class of prey–predator models with population flux by attractive transition under homogeneous Dirichlet boundary conditions, which is a modification of the model proposed by Kuto and Odea (Kuto and Oeda, 2022; Oeda and Kuto, 2018). We give the necessary and sufficient conditions for the existence of coexistence states. The mathematical analysis relies on an a priori estimate result and a global bifurcation method. Compared with the previous works (Kuto and Oeda, 2022; Oeda and Kuto, 2018), there are essential differences in establishing an a priori estimate result.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"84 ","pages":"Article 104321"},"PeriodicalIF":1.8,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143180038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Junction in a thin multi-domain for nonsimple grade two materials in BH","authors":"Rita Ferreira ,&nbsp;José Matias ,&nbsp;Elvira Zappale","doi":"10.1016/j.nonrwa.2025.104322","DOIUrl":"10.1016/j.nonrwa.2025.104322","url":null,"abstract":"<div><div>We consider a thin multi-domain in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>N</mi></mrow></msup></math></span>, with <span><math><mrow><mi>N</mi><mo>≥</mo><mn>2</mn></mrow></math></span>, consisting of a vertical rod on top of a horizontal disk made of non-simple grade-two materials or multiphase ones. In this thin multi-domain, we consider a classical hyperelastic energy and complement it by adding an interfacial energy with a bulk density of the kind <span><math><mrow><mi>W</mi><mrow><mo>(</mo><msup><mrow><mi>D</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>U</mi><mo>)</mo></mrow></mrow></math></span>, where <span><math><mi>W</mi></math></span> is a continuous function with linear growth at <span><math><mi>∞</mi></math></span> and <span><math><mrow><msup><mrow><mi>D</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>U</mi></mrow></math></span> denotes the Hessian tensor of a vector-valued function <span><math><mi>U</mi></math></span> that represents a deformation of the multi-domain. Considering suitable boundary conditions on the admissible deformations and assuming that the two volumes tend to zero at the same rate, we prove that the limit model is well posed in the union of the limit domains, with dimensions 1 and <span><math><mrow><mi>N</mi><mo>−</mo><mn>1</mn></mrow></math></span>, respectively, and its limiting energy keeps memory of the original full dimensional trace constraints in a more accurate way than previous related models in the literature. Moreover, we show that the limit problem is uncoupled if <span><math><mrow><mi>N</mi><mo>≥</mo><mn>3</mn></mrow></math></span>, and “partially” coupled if <span><math><mrow><mi>N</mi><mo>=</mo><mn>2</mn></mrow></math></span>.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"84 ","pages":"Article 104322"},"PeriodicalIF":1.8,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143180036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"An L∞-estimate for solutions to p-Laplacian type equations using an obstacle approach and applications","authors":"Elzon C. Bezerra Júnior ,&nbsp;João Vitor da Silva ,&nbsp;Romário Tomilhero Frias","doi":"10.1016/j.nonrwa.2025.104320","DOIUrl":"10.1016/j.nonrwa.2025.104320","url":null,"abstract":"<div><div>In this paper, we will address a version of the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msup></math></span>-estimate for weak solutions of <span><math><mrow><mi>p</mi><mo>−</mo></mrow></math></span>Laplacian type equations of the form <span><span><span><math><mrow><mo>−</mo><mo>div</mo><mi>a</mi><mfenced><mrow><mi>x</mi><mo>,</mo><mo>∇</mo><mi>u</mi></mrow></mfenced><mo>=</mo><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mspace></mspace><mtext>in</mtext><mspace></mspace><mi>Ω</mi><mo>,</mo></mrow></math></span></span></span>where <span><math><mrow><mn>1</mn><mo>&lt;</mo><mi>p</mi><mo>&lt;</mo><mi>∞</mi></mrow></math></span>, <span><math><mrow><mi>Ω</mi><mo>⊂</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup></mrow></math></span> (<span><math><mrow><mi>n</mi><mo>⩾</mo><mn>2</mn></mrow></math></span>) is a suitable domain (possibly unbounded with finite measure), <span><math><mrow><mi>f</mi><mo>∈</mo><msup><mrow><mi>L</mi></mrow><mrow><mi>q</mi></mrow></msup><mrow><mo>(</mo><mi>Ω</mi><mo>)</mo></mrow></mrow></math></span> with <span><math><mrow><mi>q</mi><mo>&gt;</mo><mfrac><mrow><mi>n</mi></mrow><mrow><mi>p</mi></mrow></mfrac></mrow></math></span> and <span><math><mrow><mi>q</mi><mo>≥</mo><mfrac><mrow><mi>p</mi></mrow><mrow><mi>p</mi><mo>−</mo><mn>1</mn></mrow></mfrac></mrow></math></span> and <span><math><mrow><mi>a</mi><mo>:</mo><mi>Ω</mi><mo>×</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>→</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup></mrow></math></span> is a continuous vector field satisfying certain structural properties. Unlike the non-variational scenario, our approach is based on analyzing an obstacle problem associated with our equation and exploring its intrinsic qualitative properties. Additionally, in some scenarios, our estimates bring to light new geometric quantities that are not present in the results of the classic literature. At the end, we will present some applications of our estimates, which may be essential in certain contexts of quasi-linear PDEs and related topics.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"84 ","pages":"Article 104320"},"PeriodicalIF":1.8,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143180035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Spreading speeds of a delayed noncooperative system in a shifting environment","authors":"Youxi Xie,&nbsp;Guo Lin","doi":"10.1016/j.nonrwa.2025.104324","DOIUrl":"10.1016/j.nonrwa.2025.104324","url":null,"abstract":"<div><div>This article investigates the spreading properties of a noncooperative nonlocal delayed reaction–diffusion system in a shifting environment. It is possible that the system does not satisfy the classical comparison principle for mixed quasimonotone systems. By constructing proper auxiliary equations and utilizing the comparison principle, different spreading speeds are estimated, which depend on the forced speed and the spreading speeds in various limiting equations. These findings are applied to a stage-structured epidemic model, which reveals distinct spreading properties of the susceptible and the infected under different conditions. In particular, the spatial dynamics of the susceptible population, expanding faster than the infected population, generate propagation terraces.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"84 ","pages":"Article 104324"},"PeriodicalIF":1.8,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143180037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Local existence of solutions in one-phase Stefan problems for semilinear heat equations using the unified transform method","authors":"Guenbo Hwang","doi":"10.1016/j.nonrwa.2025.104316","DOIUrl":"10.1016/j.nonrwa.2025.104316","url":null,"abstract":"<div><div>We investigate the one-phase Stefan problem for a semilinear heat equation, which plays a pivotal role in understanding phase transitions across diverse media within nonlinear phenomena. Through the application of the unified transform method, commonly referred to as the Fokas method, we derive equivalent nonlinear integral equations to the Stefan problem for the semiliner heat equation. As a result, we establish the local existence and uniqueness of solutions within this framework. The proposed approach not only extends the applicability of the Fokas method to effectively handle Stefan problems, but also provides a direct and efficient analytical method for addressing free boundary value problems.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"84 ","pages":"Article 104316"},"PeriodicalIF":1.8,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143180034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Mathematical modeling of heat process in a cylindrical domain with nonlinear thermal coefficients and a heat source on the axis","authors":"Julieta Bollati ,&nbsp;Adriana C. Briozzo ,&nbsp;Stanislav N. Kharin ,&nbsp;Targyn A. Nauryz","doi":"10.1016/j.nonrwa.2025.104315","DOIUrl":"10.1016/j.nonrwa.2025.104315","url":null,"abstract":"<div><div>A mathematical model of the heat process in one-dimensional domain which consists of a Stefan problem governed by a cylindrical heat equation with a heat source on the axis <span><math><mrow><mi>z</mi><mo>=</mo><mn>0</mn></mrow></math></span> and nonlinear thermal coefficients is studied. The developed model is particularly applicable for analyzing temperature variations on electrical contact surfaces, where precise thermal management is crucial for ensuring optimal performance and preventing overheating. The use of similarity transformation allows us to obtain an equivalent system of nonlinear integral equations that is solved by applying a fixed point theorem, providing a rigorous mathematical foundation for our analysis.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"84 ","pages":"Article 104315"},"PeriodicalIF":1.8,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143180032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}