Nonlinear Analysis-Real World Applications最新文献

{"title":"Existence, uniqueness and regularity of nonequilibrium steady states in multispecies ion transport","authors":"Fizay-Noah Lee","doi":"10.1016/j.nonrwa.2025.104598","DOIUrl":"10.1016/j.nonrwa.2025.104598","url":null,"abstract":"<div><div>We consider the steady state Nernst-Planck system for multiple species with nonequilibrium boundary conditions, describing electrodiffusion of ions or charged particles. We show the existence and regularity of solutions and also establish a sufficient condition for uniqueness.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104598"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145885260","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":"A wave-type model for age- and space-structured epidemics","authors":"Nicolas Schlosser","doi":"10.1016/j.nonrwa.2026.104612","DOIUrl":"10.1016/j.nonrwa.2026.104612","url":null,"abstract":"<div><div>We introduce a novel approach of epidemic modeling by combining age-structured models with damped wave equations. This transforms the parabolic-type reaction-diffusion model into a hyperbolic system that shares many properties with a wave or telegrapher’s equation. After we establish the existence of a weak solution of the resulting partial differential equation by means of characteristics, we show that the solutions to the new model converge to a solution of the standard age-dependent reaction-diffusion equation when we let the wave parameter become arbitrarily small. We conclude with a numerical example to illustrate the behavior of the new model and to further support our findings.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104612"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146188912","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 derivation and analysis of a mixture model of tumor growth","authors":"Giuseppe Cardone ,&nbsp;Reine Gladys Noucheun ,&nbsp;Carmen Perugia ,&nbsp;Jean Louis Woukeng","doi":"10.1016/j.nonrwa.2025.104571","DOIUrl":"10.1016/j.nonrwa.2025.104571","url":null,"abstract":"<div><div>We derive, through the periodic homogenization theory in thin heterogeneous domains, a 2<em>D</em> model consisting of Hele-Shaw equation coupled with the convective Cahn-Hilliard equation with non-constant mobility. The upscaled set of equations, which models in particular tumor growth, is then analyzed and we prove some regularity results. We heavily rely on the two-scale convergence concept in thin heterogeneous media associated to some Sobolev inequalities such as the Gagliardo-Nirenberg and Agmon inequalities to achieve our goal.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104571"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791713","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":"Stability of force-free fields in weak ideal limits of Leray–Hopf solutions I: Linear force-free fields","authors":"Ken Abe","doi":"10.1016/j.nonrwa.2025.104576","DOIUrl":"10.1016/j.nonrwa.2025.104576","url":null,"abstract":"<div><div>We consider the stability of magnetohydrostatic (MHS) equilibria in the ideal MHD equations in a bounded and simply connected domain <span><math><mrow><mstyle><mi>Ω</mi></mstyle><mo>⊂</mo><msup><mi>R</mi><mn>3</mn></msup></mrow></math></span>. We show that the set of magnetic energy minimizers with constant helicity (i.e., linear force-free fields) is Lyapunov stable among the weak ideal limits of Leray–Hopf solutions to the viscous and resistive MHD equations.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"90 ","pages":"Article 104576"},"PeriodicalIF":1.8,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145747403","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":"Persistence and extinction of interacting species featuring dissimilar growth functions with harvesting effects: A robust reaction-diffusion-advection model","authors":"Rabiul Hossain,&nbsp;Ishrat Zahan","doi":"10.1016/j.nonrwa.2025.104548","DOIUrl":"10.1016/j.nonrwa.2025.104548","url":null,"abstract":"<div><div>The selection of an appropriate growth law plays a crucial role in determining species survival in competitive ecological environments, as population density dynamics are strongly influenced by whether growth follows symmetric or non-symmetric patterns. This study investigates a Reaction-Diffusion-Advection (RDA) competition model for two species exposed to harvesting pressure in a spatially heterogeneous domain with no-flux boundary conditions. Two distinct intraspecific growth laws, the classical logistic model and the Gilpin-Ayala model, are incorporated to examine how differing intrinsic biological structures influence competitive outcomes. The primary objective is to analyze spatiotemporal dynamics driven by resource-dependent diffusion-advection strategies and varying harvesting intensities, with particular emphasis on the role of nonlinear intraspecific competition. Using the method of upper and lower solutions together with monotone dynamical system theory, we establish global stability and characterize the long-term behavior of solutions. An implicit-explicit finite difference scheme is employed to study spatial distributions and transient dynamics under varying harvesting intensities and intraspecific competition strengths. The findings elucidate the mechanisms governing competitive exclusion versus species coexistence, highlighting key ecological thresholds that provide new insights into species persistence and competitive outcomes in spatially variable environments.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"90 ","pages":"Article 104548"},"PeriodicalIF":1.8,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145546715","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":"Subsonic Euler flows with gravity in a two-dimensional finitely long curved nozzle","authors":"Zihao Zhang","doi":"10.1016/j.nonrwa.2025.104566","DOIUrl":"10.1016/j.nonrwa.2025.104566","url":null,"abstract":"<div><div>This paper concerns subsonic Euler flows in a two-dimensional finitely long slightly curved nozzle under the vertical gravity. Concerning the effect of the vertical gravity, we first establish the existence of subsonic shear flows in the flat nozzle. We then investigate the structural stability of these background subsonic flows under small perturbations of suitable boundary conditions on the entrance and exit and the upper and lower nozzle walls. It can be formulated as a nonlinear boundary value problem for a hyperbolic-elliptic mixed system. The main difficulty is that all the physical quantities are coupled with each other due to the existence of the vertical gravity. The approach is based on the Lagrangian transformation to straighten the streamline and the deformation-curl decomposition to deal with the hyperbolic and elliptic modes in the subsonic region. The key ingredient of the analysis is to solve the associated linearized elliptic boundary value problem with mixed boundary conditions in a weighted Hölder space.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"90 ","pages":"Article 104566"},"PeriodicalIF":1.8,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145747402","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":"Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrarily large forces","authors":"Gianmarco Del Sarto ,&nbsp;Matthias Hieber ,&nbsp;Filippo Palma ,&nbsp;Tarek Zöchling","doi":"10.1016/j.nonrwa.2025.104558","DOIUrl":"10.1016/j.nonrwa.2025.104558","url":null,"abstract":"<div><div>This article concerns time-periodic solutions to a two-dimensional Sellers-type energy balance model coupled to the three-dimensional primitive equations via a dynamic boundary condition. It is shown that the underlying equations admit at least one strong time-periodic solution, provided the forcing term is time-periodic. The forcing term does not need to satisfy a smallness condition and is allowed to be arbitrarily large.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"90 ","pages":"Article 104558"},"PeriodicalIF":1.8,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145747405","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":"Asymptotic behavior for a coupled wave/plate system with fractional memory dissipation","authors":"Rafael Lima Oliveira ,&nbsp;Celene Buriol ,&nbsp;Higidio Portillo Oquendo","doi":"10.1016/j.nonrwa.2025.104533","DOIUrl":"10.1016/j.nonrwa.2025.104533","url":null,"abstract":"<div><div>In this paper, we investigate a coupled system of two equations with distinct characteristics and parameter variations, encompassing relevant scenarios in the study of the asymptotic behavior of solutions. We analyze cases in which the wave-plate system features indirect damping acting exclusively on the wave equation and, alternatively, on the plate equation, while also considering damping in both equations simultaneously. This research establishes the well-posedness of the system, explores the asymptotic behavior (exponential and polynomial decay) of the solutions, and identifies optimal decay rates whenever applicable.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"90 ","pages":"Article 104533"},"PeriodicalIF":1.8,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145580234","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":"Global solvability in a 3D attraction-repulsion Navier-Stokes system with consumption of chemoattractant and sub-quadratic degradation","authors":"Yinuo Han ,&nbsp;Jianwang Wu ,&nbsp;Qian Zhang","doi":"10.1016/j.nonrwa.2025.104559","DOIUrl":"10.1016/j.nonrwa.2025.104559","url":null,"abstract":"&lt;div&gt;&lt;div&gt;This paper investigates an attraction-repulsion Navier-Stokes system that incorporates the consumption of chemoattractant and sub-quadratic degradation:&lt;span&gt;&lt;span&gt;&lt;span&gt;&lt;math&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mrow&gt;&lt;mo&gt;{&lt;/mo&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/msub&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;·&lt;/mo&gt;&lt;mi&gt;∇&lt;/mi&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mstyle&gt;&lt;mi&gt;Δ&lt;/mi&gt;&lt;/mstyle&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mi&gt;∇&lt;/mi&gt;&lt;mo&gt;·&lt;/mo&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mi&gt;∇&lt;/mi&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;∇&lt;/mi&gt;&lt;mo&gt;·&lt;/mo&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mi&gt;∇&lt;/mi&gt;&lt;mi&gt;w&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;/mrow&gt;&lt;/mtd&gt;&lt;mtd&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;mstyle&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mstyle&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mo&gt;&gt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;/mrow&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/msub&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;·&lt;/mo&gt;&lt;mi&gt;∇&lt;/mi&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mstyle&gt;&lt;mi&gt;Δ&lt;/mi&gt;&lt;/mstyle&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;/mrow&gt;&lt;/mtd&gt;&lt;mtd&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;mstyle&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mstyle&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mo&gt;&gt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;/mrow&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;w&lt;/mi&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/msub&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;·&lt;/mo&gt;&lt;mi&gt;∇&lt;/mi&gt;&lt;mi&gt;w&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mstyle&gt;&lt;mi&gt;Δ&lt;/mi&gt;&lt;/mstyle&gt;&lt;mi&gt;w&lt;/mi&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mi&gt;w&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;/mrow&gt;&lt;/mtd&gt;&lt;mtd&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;mstyle&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mstyle&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mo&gt;&gt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;/mrow&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/msub&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;·&lt;/mo&gt;&lt;mi&gt;∇&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mstyle&gt;&lt;mi&gt;Δ&lt;/mi&gt;&lt;/mstyle&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;∇&lt;/mi&gt;&lt;mi&gt;P&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mi&gt;∇&lt;/mi&gt;&lt;mstyle&gt;&lt;mi&gt;Λ&lt;/mi&gt;&lt;/mstyle&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mi&gt;∇&lt;/mi&gt;&lt;mo&gt;·&lt;/mo&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;/mrow&gt;&lt;/mtd&gt;&lt;mtd&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;mstyle&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mstyle&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mo&gt;&gt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mrow&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/math&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;in a bounded and smooth domain &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mstyle&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mstyle&gt;&lt;mo&gt;⊂&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, with no-flux/Dirichlet boundary conditions and nonnegative integrable initial data, where &lt;em&gt;f&lt;/em&gt; ∈ &lt;em&gt;C&lt;/em&gt;&lt;sup&gt;1&lt;/sup&gt;([0, ∞)) is supposed to generalize standard choices of logistic-type reproduction and degradation, as obtained on letting &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;ρ&lt;/mi&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mi&gt;μ&lt;/mi&gt;&lt;msup&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; for &lt;em&gt;s&lt;/em&gt; ≥ 0, with &lt;em&gt;ρ&lt;/em&gt; ≥ 0, &lt;em&gt;μ&lt;/em&gt; &gt; 0 and &lt;em&gt;α&lt;/em&gt; ∈ (1, 2). In this work, it is demonstrated that, in addition to the fundamental condition that &lt;em&gt;f&lt;/em&gt;(0) must be nonnegative, the assumption&lt;span&gt;&lt;span&gt;&lt;span&gt;&lt;math&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;/mfrac&gt;&lt;mo&gt;→&lt;/mo&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mi&gt;∞&lt;/mi&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mtext&gt;as&lt;/mtext&gt;&lt;mspace&gt;&lt;/mspac","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"90 ","pages":"Article 104559"},"PeriodicalIF":1.8,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145694044","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":"Nonlinear dynamics of wind-drift currents at mid-latitudes","authors":"Christian Puntini","doi":"10.1016/j.nonrwa.2025.104557","DOIUrl":"10.1016/j.nonrwa.2025.104557","url":null,"abstract":"<div><div>Starting from the Navier-Stokes equation in the <em>f</em>-plane approximation, we provide an exact and explicit solution of the governing equations at leading order for fluid flows in the upper layer of the ocean at mid-latitudes, driven by a wind stress. Such a solution highlights the presence of a mean Ekman current superimposed to trochoidal oscillations and a background geostrophic current.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"90 ","pages":"Article 104557"},"PeriodicalIF":1.8,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145693972","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}