Results 101 to 110 of about 1,940 (229)

Exact Solutions of Linear Multiple Delay Partial Differential Equations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley   +1 more source

On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of Forchheimer‐type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a nonlinear partial differential equation for the pseudo‐pressure.
Emine Celik, Luan Hoang, Thinh Kieu
wiley   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo, Sonny Irawan, Mohd Zulkifli Bin Mohamad Noor, Mudasar Zafar, Shynar Juziyeva, Camila Martins Saporetti, Leonardo Goliatt, Randy Hazlett   +7 more
wiley   +1 more source

Coexistence, crossover and extirpation in coalescent communities and ecotones

Oikos, EarlyView.
When two ecological communities come into contact, the strength of their mixing determines whether species coexist, extirpate, or extend their ranges. We present analytical formulas and simulations describing these transitions. Specifically, we derive abundance shifts upon community coalescence, identify the critical mixing strength leading to first ...
Martin Heidelman, Dervis Can Vural
wiley   +1 more source

Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr, Alessandro Pisano, Stefan Koch, Markus Reichhartinger   +3 more
wiley   +1 more source

Forward-Inverse Adaptive Techniques for Reservoir Characterization and Simulation: Theory and Applications

, 2001
A novel approach called Forward-Inverse Adaptive Techniques (FIAT) for reservoir characterization is developed and applied to three representative exploration cases.
Ezzedine, S, Chawathe, A, Gelinas, R, Doss, S D   +3 more
core  

Responsive nitric oxide‐releasing antibacterial materials for biofilm‐associated infections: Mechanisms, design strategies, and applications

Responsive Materials, EarlyView.
This review summarizes the recent progress in responsive NO‐releasing materials and their applications in biofilm‐associated infectious diseases. The design principles and response mechanisms are given to provide inspiration toward the future development of multi‐responsive NO‐releasing materials.
Wenyue Sun, Meiqi Li, Di Nan, Jiaqi Zhao, Yu Chen, Yao Gao, Shichen Zhang, Kirsten L. Van Landuyt, Manlin Qi   +8 more
wiley   +1 more source

Artificial Intelligence for Blue Transformation: A Review of Predictive Modeling and Decision Support Systems in Sustainable Aquaculture

Sustainable Development, EarlyView.
ABSTRACT The FAO's “blue transformation” roadmap necessitates a fundamental shift towards precision aquaculture to meet global food security targets while minimizing environmental footprints. This review provides a comprehensive overview of how artificial intelligence (AI) and decision support systems (DSS) serve as pivotal enablers for the “better ...
Mustafa Öz, Enes Üstüner
wiley   +1 more source

Smart cellulose‐based room temperature phosphorescent materials: From mechanisms to construction strategies and applications

Smart Molecules, EarlyView.
This review elucidates the photophysical mechanisms of cellulose‐based room temperature phosphorescent materials and systematically outlines their construction strategies, such as cluster emission center engineering. This article demonstrates their applications in fields like information encryption and bioimaging, and looks ahead to the core challenges
Shasha Wu, Yifan Zhou, Wanjin Wu, Yan Tang, Mengfan Jing, Jianyu Zhang, Haoke Zhang, Zheng Zhao, Junwei Wang, Laurent Maron, Lijie Liu   +10 more
wiley   +1 more source