Partial Differential Equations in Applied Mathematics最新文献

Significance of thermal jump in hybrid nanomaterial with nonlinear thermal radiation and porous space 具有非线性热辐射和多孔空间的杂化纳米材料热跳变的意义

Partial Differential Equations in Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-02-12 DOI: 10.1016/j.padiff.2026.101346

M. Ibtesam , S. Mengjie , B. Ahmed

{"title":"Significance of thermal jump in hybrid nanomaterial with nonlinear thermal radiation and porous space","authors":"M. Ibtesam , S. Mengjie , B. Ahmed","doi":"10.1016/j.padiff.2026.101346","DOIUrl":"10.1016/j.padiff.2026.101346","url":null,"abstract":"<div><div>Investigators have commonly recognized hybrid nanomaterials for their involvement in automobiles, solar heaters, battery-powered engines, pharmaceutical phenomena, domestic refrigerator, food processing, heating, cooling in manufacturing, ventilation and air conditioning. Especially the magnetohydrodynamic (MHD) hybrid nanomaterials are significant for Magnetic Resonance Imaging (MRI), blood oxygenation, respiratory process, X-ray imaging, medicinal delivery, gene transport, DNA probing process, cell biology, infectious diseases, photoacoustic imaging, nervous disorders and treatment of cancer, dropsy, jaundice and hernias. Hence the current research is organized for peristalsis involving hybrid nanofluid with electroosmotic effect. Iron oxide (<em>Fe</em><sub>3</sub><em>O</em><sub>4</sub>) and gold (Au) are taken as the nanoparticles. Unlike the classical concept, the nonlinear version of thermal radiation is examined. Corrugated symmetric flow configuration is adopted. Impact of magnetohydrodynamics through Lorentz force is retained. Porous space is characterized by invoking Darcy-Forchheimer relation. Mixed convection is not ignored. Analysis is carried out for velocity and thermal slip aspects. Feature of electroomosis is described by Nernst-Planck and Poisson expressions. Dissipation, Joule heating and heat generation in thermal equation are present. The analysis is executed with consideration of large wavelengths and low Reynolds numbers. Resulting problems after invoking lubrication approach are solved numerically. Thermal field, velocity and pressure gradient are graphically analyzed through outcome of influential parameters. Heat transfer rate is probed. Here the Darcy and Forchheimer parameters for velocity have opposite response. Temperature by thermal jump parameter is enhanced. As expected the nanomaterials have more heat transfer rate when compared with hybrid nanofluids.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"17 ","pages":"Article 101346"},"PeriodicalIF":0.0,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147397040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Comment on the paper "MD. Shamshuddin, Balasani Srinitha, S.O. Salawu, M. Sundeer Ram, Partial Differential Equations in Applied Mathematics 13 (2025) 101,100" 对论文“MD. Shamshuddin, Balasani Srinitha， S.O. Salawu， M. Sundeer Ram，应用数学中的偏微分方程13(2025)101100”的评论

Partial Differential Equations in Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-27 DOI: 10.1016/j.padiff.2026.101341

Asterios Pantokratoras

引用次数: 0

Bell wavelets method to solve class of fractional differential equations arising in fluid mechanics 求解流体力学中一类分数阶微分方程的贝尔小波方法

Partial Differential Equations in Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2025-12-31 DOI: 10.1016/j.padiff.2025.101336

Pooja Yadav , Shah Jahan , Kottakkaran Sooppy Nisar

引用次数: 0

Quintic nonlinearity enables modulation instability in normal dispersion regimes for spectral control 五次非线性使调制不稳定性在正常色散制度的频谱控制

Partial Differential Equations in Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-31 DOI: 10.1016/j.padiff.2026.101339

Sujata Vedi , Mohit Sharma , Monika Goyal , Yogesh Sharma

{"title":"Quintic nonlinearity enables modulation instability in normal dispersion regimes for spectral control","authors":"Sujata Vedi , Mohit Sharma , Monika Goyal , Yogesh Sharma","doi":"10.1016/j.padiff.2026.101339","DOIUrl":"10.1016/j.padiff.2026.101339","url":null,"abstract":"<div><div>Modulation instability in cubic-quintic nonlinear media is rigorously analyzed using an extended nonlinear Schrödinger equation framework. Results demonstrate that focusing quintic nonlinearity (<em>γ</em><sub>5</sub> > 0) reduces the critical power for instability onset by 40%–60% relative to cubic systems while defocusing terms (<em>γ</em><sub>5</sub> < 0) elevate thresholds by 60%–80%. The instability bandwidth achieving 80% spectral broadening with <em>γ</em><sub>5</sub> > 0. Septic nonlinearity (<em>γ</em><sub>7</sub> > 0) amplifies maximum gain by 30%–50% at high intensities. Crucially, <em>γ</em><sub>5</sub> > 0 enables MI in normal dispersion regimes (<em>β</em><sub>2</sub> > 0) unattainable in purely cubic media. These findings advance predictive models for semiconductor-doped photonic crystal fibers and colloidal quantum dots. Applications include optimized supercontinuum sources, tunable optical frequency combs, and terahertz pulse generation systems with enhanced spectral control.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"17 ","pages":"Article 101339"},"PeriodicalIF":0.0,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146189144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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Retraction Notice to “Analysis of boundary layer flow of a Jeffrey fluid over a stretching or shrinking sheet immersed in a porous medium” [Partial Differential Equations in Applied Mathematics 12 (2024) 100951] “杰弗里流体在多孔介质中拉伸或收缩薄片上的边界层流动分析”的撤回通知[应用数学偏微分方程12 (2024)100951]

Partial Differential Equations in Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-03-07 DOI: 10.1016/j.padiff.2026.101348

Nagaraju B , N Kishan , Jagadish V. Tawade , Pandikani Meenapandi , Barno Abdullaeva , M. Waqas , Manish Gupta , Nadia Batool , Furqan Ahmad

引用次数: 0

Retraction Notice to “Stochastic Reynolds Equation for Magnetohydrodynamics Micropolar Fluid and Surface Roughness in Squeeze-Film Lubrication Characteristics of Rough Parallel Rectangular Plates” [Partial Differential Equations in Applied Mathematics 15 (2025) 101269] 关于“粗糙平行矩形板挤压膜润滑特性中磁流体动力学微极流体和表面粗糙度的随机Reynolds方程”的撤回通知[应用数学偏微分方程15 (2025)101269]

Partial Differential Equations in Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-03-06 DOI: 10.1016/j.padiff.2026.101351

B.S. Asha , H.M. Shivakumar , B.N. Hanumagowda , Jagadish V. Tawade , Barno Abdullaeva , Manish Gupta , Murali Gundagani , Taoufik Saidani , Nadia Batool

引用次数: 0

Effects of diffusion on the tumour regression in exposure to the non-ionizing electromagnetic waves 非电离电磁波照射下扩散对肿瘤消退的影响

Partial Differential Equations in Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-02-02 DOI: 10.1016/j.padiff.2026.101342

Fatemeh Ansarizadeh , Tonghua Zhang

引用次数: 0

Modeling lump and soliton wave interactions in the (3 + 1)D Fornberg-Whitham equation using a physics-informed neural network framework 利用物理信息神经网络框架模拟（3 + 1）D Fornberg-Whitham方程中的块状波和孤子波相互作用

Partial Differential Equations in Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2025-12-11 DOI: 10.1016/j.padiff.2025.101330

Md. Towhiduzzaman , Md. Abdul Al Mohit , A.Z.M. Asaduzzaman

{"title":"Modeling lump and soliton wave interactions in the (3 + 1)D Fornberg-Whitham equation using a physics-informed neural network framework","authors":"Md. Towhiduzzaman , Md. Abdul Al Mohit , A.Z.M. Asaduzzaman","doi":"10.1016/j.padiff.2025.101330","DOIUrl":"10.1016/j.padiff.2025.101330","url":null,"abstract":"<div><div>This paper presents an in-depth analytical and computational study of the (3 + 1)-dimensional Fornberg-Whitham (FW) equation, a highly nonlinear partial differential equation modeling complex wave interactions in multidimensional dispersive media. Employing Hirota’s bilinear method, we derive explicit lump and multi-soliton solutions, elucidating their dynamic interaction patterns and stability properties. To complement these findings, we develop a robust physics-informed neural network (PINN) framework to numerically solve the FW equation, capturing challenging rogue and breather wave phenomena with high accuracy. Comprehensive numerical experiments validate the PINN model against analytical benchmarks, demonstrating its capability to handle high-dimensional nonlinearities and mixed derivatives. These results provide critical insights into multidimensional wave dynamics and establish a hybrid approach that effectively blends classical soliton theory with modern machine learning, paving the way for future research in nonlinear wave propagation, fluid dynamics, and applied physics.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"17 ","pages":"Article 101330"},"PeriodicalIF":0.0,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145792019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Influence of non-linear motion on mixed convection in viscous fluids with temperature-dependent thermal conductivity and oscillating thermal wave 热导率随温度变化且热波振荡的粘性流体中非线性运动对混合对流的影响

Partial Differential Equations in Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2025-12-11 DOI: 10.1016/j.padiff.2025.101333

M.M. Nour , Abdur Rehman , Abdallah aldurayhim , Muhammad Ashraf , A.M. Rashad , Hossam A. Nabwey

{"title":"Influence of non-linear motion on mixed convection in viscous fluids with temperature-dependent thermal conductivity and oscillating thermal wave","authors":"M.M. Nour , Abdur Rehman , Abdallah aldurayhim , Muhammad Ashraf , A.M. Rashad , Hossam A. Nabwey","doi":"10.1016/j.padiff.2025.101333","DOIUrl":"10.1016/j.padiff.2025.101333","url":null,"abstract":"<div><div>This study investigates the effects of non-linear motion on mixed convection viscous fluid flow, incorporating thermal conductivity inversely proportional to a linear function of temperature under the influence of oscillating thermal waves. To provide a comprehensive understanding, the research explores convective heat transfer in the presence of vorticity. The governing equations, including continuity, momentum, and heat equations, are formulated to represent the intricate non-linear dynamics of fluid flow and heat transfer. These equations are rendered dimensionless using appropriate scaling variables and subsequently transformed into steady and unsteady forms to address varying thermal and flow conditions. A Gaussian elimination approach, combined with a primitive variable formulation, is employed for numerical computation, alongside the finite difference method. Computational solutions are developed using FORTRAN Laher-90, with graphical and tabular results presented via Tecplot-360 to analyze transient shear stress (τ<sub><em>s</em></sub>) and transient heat transfer (τ<sub><em>t</em></sub>) influenced by oscillating thermal waves. The findings reveal critical insights into the interplay between vorticity, non-linear fluid behavior, and thermal oscillations, contributing to advancements in optimizing convective heat transfer mechanisms. The findings show that in steady-state conditions, temperature distribution and flow velocity increase with higher values of the thermal conductivity variation parameter (ς). In the unsteady state, transient shear stress τₛ exhibits higher wave amplitude at ς = 0.2, followed by slight changes in phase angle at different values. However, transient heat transfer τ<sub>t</sub> decreases in wave magnitude as ς increases.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"17 ","pages":"Article 101333"},"PeriodicalIF":0.0,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791934","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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Comment on the paper “Sk Enamul, Seetalsmita Samal, Surender Ontela, Partial Differential Equations in Applied Mathematics 13 (2025) 101,073” 对论文“Sk Enamul, Seetalsmita Samal, Surender Ontela，应用数学中的偏微分方程13(2025)101,073”的评论

Partial Differential Equations in Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-02-20 DOI: 10.1016/j.padiff.2026.101353

Asterios Pantokratoras

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