Results 111 to 120 of about 3,812 (235)

A Pseudo‐Two‐Dimensional Reaction–Diffusion Model for Rational Design of Antibacterial–Antioxidant Ag–ZnO/Fucoidan Nanocomposites

Engineering Reports, Volume 8, Issue 6, June 2026.
A pseudo‐two‐dimensional (P2D) reaction–diffusion framework is proposed to model reactive oxygen species (ROS) generation, transport, and scavenging in Ag–ZnO/Fucoidan nanocomposites. Spatially segregated ROS source (Ag–ZnO) and sink (fucoidan) domains are embedded into a one‐dimensional computational model, capturing nonlinear feedback between site ...
Mohamed Abu Shuheil, Maryam Saleem Mohammed Ali, Roopashree R., Subhashree Ray, Baraa Mohammed Yaseen, Kavitha V., Renu Sharma, Aashna Sinha, Naser Aslanian   +8 more
wiley   +1 more source

A Multiphysics Engineering Model of pH and Oxygen Transport Limitations in Textile‐Based Wearable Lactate Biosensors

Engineering Reports, Volume 8, Issue 6, June 2026.
A one‐dimensional multiphysics engineering model is developed to elucidate the coupled transport and reaction phenomena governing textile‐based wearable lactate biosensors operating in sweat. The model integrates diffusion of lactate, oxygen, hydrogen peroxide, and protons with dual‐substrate enzymatic kinetics, acid–base equilibria, and mediator‐based
Kamel A. Saleh, Zainab Taha Mohammed Jaddoa, M. M. Rekha, Subhashree Ray, Talal Aziz Qassem, T. Krithiga, Renu Sharma, Prakhar Tomar, Amir Arsalanirad   +8 more
wiley   +1 more source

Casson Fluid Flow Through Porous Media on an Exponentially Stretched Surface in the Presence of a Transverse Magnetic Field and Chemical Reaction

Advances in Mathematical Physics
This study examined a two-dimensional flow of Casson fluid on an exponentially stretched surface subjected to a transverse magnetic field in the presence of chemically reactive species.
Issah Abubakari, Ibrahim Yakubu Seini
doaj   +1 more source

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time

Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT We consider an implicit Runge–Kutta method for the numerical time integration of the nonstationary incompressible Navier–Stokes equations. This yields a sequence of nonlinear problems to be solved for the stages of the Runge–Kutta method. The resulting nonlinear system of differential equations is discretized using a finite element method.
Santolo Leveque, Yunhui He, Maxim Olshanskii   +2 more
wiley   +1 more source

Analysis of stagnation point flow of an upper-convected Maxwell fluid

Electronic Journal of Differential Equations, 2017
Several recent papers have investigated the two-dimensional stagnation point flow of an upper-convected Maxwell fluid by employing a similarity change of variable to reduce the governing PDEs to a nonlinear third order ODE boundary value problem (BVP)
Joseph E. Paullet
doaj  

Simulation of Thermal Transfer Attributes Under Varying Magnetic Fields Strain Influences and Viscous Energy Dissipation

International Journal of Applied Mechanics and Engineering
This study investigates the mathematical modeling of impermeable fluid motion that conducts electricity, focusing on the effects of magnetism and chemical interactions on thermal energy, mass transfer, viscosity dissipation, and Soret-Dufour phenomena ...
Dovine Dukru, Bhaskarjyoti Deka, Bamdeb Dey, Abhijit Bora   +3 more
doaj   +1 more source

Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin, Nina Beranek, Gajendra Babu Budihala, Matthias Mettenleiter, Goksu Oruc, Karsten Urban   +5 more
wiley   +1 more source

On the Performance and Convergence of PINNs for Problems in Linear Elasticity

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Physics‐informed neural networks (PINNs) have emerged as a promising approach for solving partial differential equations by embedding physical laws directly into the loss function. However, their performance characteristics for problems in computational mechanics remain insufficiently understood.
Dipraj Kadlag, Carolin Birk, Sundararajan Natarajan, Hauke Gravenkamp   +3 more
wiley   +1 more source