Results 101 to 110 of about 1,613 (219)

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal, Ana Jacinta Soares, Maria Joana Torres   +2 more
wiley   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Regularity results for a class of nonlocal double phase equations with VMO coefficients [PDF]

We study a class of nonlocal double phase problems with discontinuous coefficients. A local self-improving property and a higher H¨older continuity result for weak solutions to such problems are obtained under the assumptions that the associated ...
Kim, Kyeongbae, Byun, Sun-Sig, Kumar, Deepak   +2 more
core  

A Coupled Extended Finite Element–Cohesive Zone Model for Hydraulic Fracture Propagation Under Poroelastic Effects Across Different Propagation Regimes

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Numerical simulation of hydraulic fracturing remains challenging due to the strong coupling between geomechanics and fluid flow when modelling multiple physical mechanisms of rock deformation, fracture evolution and fluid leak‐off. This study develops a coupled hydraulic fracture propagation framework that combines the extended finite element ...
Ran Tao, Juliana Y. Leung, Samer Adeeb
wiley   +1 more source

Equivalence between VMO functions and Zero Lelong numbers functions [PDF]

We prove that a plurisbharmonic function on a bounded domain $\Omega$ in $\mathbb{C}^n$ is a VMO (Vanishing Mean Oscillation) function if and only if its Lelong number at each point of $\Omega$ vanishes.
Biard, Séverine, Wu, Jujie
core   +1 more source

Assessing and Quantifying Variability Across Vacuum‐Assisted Resin Infusion Variants for Aerospace‐Grade Composite Manufacturing

Polymer Composites, EarlyView.
Radar‐plot comparison of consolidation quality and flexural performance of composite laminates manufactured by six vacuum‐infusion routes, evaluated at the resin‐inlet and vacuum‐port regions. ABSTRACT Conventional vacuum‐assisted resin transfer molding (C‐VARTM) is recognized as a cost‐effective resin infusion technique for manufacturing large‐scale ...
Ilhan Kahraman, Nilperi Uysal, Çağlar Subaşı, Selin Dursun, Muhammet İskender, Özgü Çalın, Uğur Şimşir, Hatice S. Sas, A. Tuğrul Seyhan   +8 more
wiley   +1 more source

Influence of Thermal Cycling on Friction, Wear, and Damage Evolution of Fused Deposition Modeling of 3D‐Printed Glass Fiber Reinforced Polylactic Acid Composites

Polymer Composites, EarlyView.
Schematic illustration of the experimental procedure of the specimens. ABSTRACT This research work investigated the effect of the cyclic thermo‐hygrometric aging regime between −20°C and +40°C with 0–400 cycles on the reciprocating tribological properties of fused deposition modeling (FDM) printed polylactic acid (PLA) and the same material reinforced ...
Sinan Fidan, Satılmış Ürgün, Nevin Gamze Karsli, Taner Yılmaz, Mustafa Özgür Bora, Mehmet İskender Özsoy   +5 more
wiley   +1 more source

Forecast‐Error Diagnostics in Neural Weather Models

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Deep learning weather prediction models enable efficient forecast‐error diagnostics through auto‐differentiation and low computational cost. We apply grid‐point relaxation and gradient‐based error sensitivity to identify key forecast‐error sources. Results show that medium‐range forecasts in the midlatitudes benefit most from relaxing the stratosphere ...
Uroš Perkan, Gregor Skok, Žiga Zaplotnik   +2 more
wiley   +1 more source