Results 31 to 40 of about 723 (140)

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Modeling Transient Flow in Heterogeneous Aquifers With the Mixed Pressure‐Velocity Formulation of Physics Informed Neural Networks

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 4, August 2026.
Abstract Physics‐Informed Neural Networks (PINNs) have emerged as a powerful framework for modeling groundwater flow using deep learning neural networks, particularly in scenarios where traditional data‐driven approaches are limited by the scarcity of data.
Adhish Virupaksha, Marwan Fahs, Hussein Hoteit, Thomas Nagel, François Lehmann   +4 more
wiley   +1 more source

Mechanistic‐Statistical Inference of Mosquito Dynamics From Mark‐Release‐Recapture Data

Population Ecology, Volume 68, Issue 3, July 2026.
Mark‐release‐recapture data contain valuable information on mosquito dispersal and survival, but this information is only indirectly observed through trap counts. We combine a mechanistic diffusion model with a statistical observation model to infer movement, mortality, and trap efficiency jointly.
Nga Nguyen, Olivier Bonnefon, René Gato, Luis Almeida, Lionel Roques   +4 more
wiley   +1 more source

Biodegradable Zn‐Based Implants: Progress, Challenges, and Pathways toward Clinical Translation

Advanced Science, Volume 13, Issue 39, 13 July 2026.
Exploring biodegradable Zn‐based implants offers a promising pathway to next‐generation biomedical devices with balanced degradation and biocompatibility. A comprehensive overview of biodegradable Zn‐based implants, covering their biological significance, material design principles, and advanced engineering strategies is provided.
Panfeng Zhao, Zhengquan Wang, Hui Yang, Xiyuan Zhang, Hanyuan Liu, Xiaotong Lu, Xiaocheng Li, Yanyan Liu, Xi Zhao, Wenhao Zhou, Yufeng Zheng   +10 more
wiley   +1 more source

AI in chemical engineering: From promise to practice

AIChE Journal, Volume 72, Issue 7, July 2026.
Abstract Artificial intelligence (AI) in chemical engineering has moved from promise to practice: physics‐aware (gray‐box) models are gaining traction, reinforcement learning complements model predictive control (MPC), and generative AI powers documentation, digitization, and safety workflows.
Jia Wei Chew, Ronnie Andersson, Thomas Bierweiler, Patrik Ryttestal, Torsten Wik   +4 more
wiley   +1 more source

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

A Conjugate Operator Pair of Partial Differential Equations Bridging Born and Kirchhoff Approximations for Wave‐Equation Inversion

Geophysical Prospecting, Volume 74, Issue 6, July 2026.
ABSTRACT A conjugate operator pair is introduced for wave‐equation Kirchhoff modelling and migration, formulated as time‐space partial differential equations. The operator pair allows for iterative linearized waveform inversion and supports the reconstruction of angle‐dependent reflectivity images. The proposed forward modelling operator represents the
Wei Zhang, Mauricio D. Sacchi
wiley   +1 more source

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

Closing the Loop in Precision Oncology: A Digital Twin‐Driven Paradigm for Dynamic Decision‐Making

iMetaMed, Volume 2, Issue 2, June 2026.
This review introduces the Closed‐Loop Intelligent Oncology System (CIOS), a five‐layer framework integrating digital twins and AI to enable adaptive, data‐driven cancer treatment. By synthesizing advances in multimodal perception, mechanistic simulation, and safe reinforcement learning, CIOS charts a roadmap toward dynamic, personalized oncology ...
Junye Zhu, Mengqi Yang, Chenxi Ouyang, Lin Zhang   +3 more
wiley   +1 more source

On MAP Estimates and Source Conditions for Drift Identification in SDEs

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck, Nikolas Uesseler, Philipp Wacker, Benedikt Wirth   +3 more
wiley   +1 more source