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We harness the physics-informed neural network (PINN) approach to extend the utility of phenomenological models for particle migration in shear flow. Specifically, we propose to constrain the neural network training via a model for the…

Fluid Dynamics · Physics 2023-04-28 Daihui Lu , Ivan C. Christov

Theoretical developments in relativistic spin hydrodynamics, which describes the macroscopic transport of spin angular momentum alongside other fundamental conserved quantities, have progressed rapidly since the experimental observation of…

High Energy Physics - Phenomenology · Physics 2026-01-16 Hidefumi Matsuda , Koichi Hattori , Koichi Murase

Fluid flows are governed by the nonlinear Navier-Stokes equations, which can manifest multiscale dynamics even from predictable initial conditions. Predicting such phenomena remains a formidable challenge in scientific machine learning,…

Fluid Dynamics · Physics 2026-04-08 Prashant Kumar , Rajesh Ranjan

Physics-Informed Neural Networks (PINNs) are a powerful deep learning method capable of providing solutions and parameter estimations of physical systems. Given the complexity of their neural network structure, the convergence speed is…

Machine Learning · Computer Science 2025-01-28 Sirui Li , Federica Bragone , Matthieu Barreau , Kateryna Morozovska

This paper investigates propagation of SH-waves in a layered composite structure consisting of a pre-stressed functionally graded magnetoelastic orthotropic layer overlying a pre-stressed functionally graded orthotropic half-space under the…

Computational Physics · Physics 2026-03-30 Diksha , Katyayani , Hriticka Dhiman , Soniya Chaudhary , Pawan Kumar Sharma , Mayank Kumar Jha

Heat transfer characteristics of nanofluids have been extensively studied since the 1990s. Research investigations show that the suspended nanoparticles significantly alter the suspension's thermal properties. The thermal conductivity of…

Fluid Dynamics · Physics 2022-01-04 Saeel S. Pai , Abhijeet Banthiya

Severe accident analysis using system-level codes such as MELCOR is indispensable for nuclear safety assessment, yet the computational cost of repeated simulations poses a significant bottleneck for parametric studies and uncertainty…

Machine Learning · Computer Science 2026-04-06 Jeesuk Shin , Donggyun Seo , Sihyeong Yu , Joongoo Jeon

Physics-informed neural networks have emerged as a coherent framework for building predictive models that combine statistical patterns with domain knowledge. The underlying notion is to enrich the optimization loss function with known…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-20 Zhenyu Dai , Ben Moews , Ricardo Vilalta , Romeel Dave

There have been several efforts to Physics-informed neural networks (PINNs) in the solution of the incompressible Navier-Stokes fluid. The loss function in PINNs is a weighted sum of multiple terms, including the mismatch in the observed…

Fluid Dynamics · Physics 2024-09-30 Zixue Xiang , Wei Peng , Xiaohu Zheng , Xiaoyu Zhao , Wen Yao

This article introduces Perception-Informed Neural Networks (PrINNs), a framework designed to incorporate perception-based information into neural networks, addressing both systems with known and unknown physics laws or differential…

Machine Learning · Computer Science 2025-05-27 Mehran Mazandarani , Marzieh Najariyan

We present a physics-inspired neural network (PINN) model for direct prediction of hydrodynamic forces and torques experienced by individual particles in stationary beds of randomly distributed spheres. In line with our findings, it has…

Fluid Dynamics · Physics 2022-03-09 Arman Seyed-Ahmadi , Anthony Wachs

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

Computational Physics · Physics 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

Mathematical models in neural networks are powerful tools for solving complex differential equations and optimizing their parameters; that is, solving the forward and inverse problems, respectively. A forward problem predicts the output of…

Machine Learning · Computer Science 2025-07-29 Aarush Gupta , Kendric Hsu , Syna Mathod

The integration of physics-based knowledge with machine learning models is increasingly shaping the monitoring, diagnostics, and prognostics of electrical transformers. In this two-part series, the first paper introduced the foundations of…

Machine Learning · Computer Science 2025-12-30 Jose I. Aizpurua

In this work, a modified neural architecture search method (NAS) based physics-informed deep learning model is presented for stochastic analysis in heterogeneous porous material. Monte Carlo method based on a randomized spectral…

Machine Learning · Computer Science 2022-02-07 Hongwei Guo , Xiaoying Zhuang , Timon Rabczuk

This paper presents a fully data-free Physics-Informed Neural Network (PINN) capable of solving compressible inviscid flows (ranging from supersonic to hypersonic, up to Ma=15, where Ma is the Mach number) around a circular cylinder. To…

Fluid Dynamics · Physics 2026-03-03 Ryosuke Yano

Physics-informed neural networks (PINNs) have emerged as a promising approach to solving partial differential equations (PDEs) using neural networks, particularly in data-scarce scenarios, due to their unsupervised training capability.…

Machine Learning · Computer Science 2025-03-25 Edgar Torres , Jonathan Schiefer , Mathias Niepert

We construct in this article the semi-analytic Physics Informed Neural Networks (PINNs), called {\em singular layer PINNs} (or {\em sl-PINNs}), that are suitable to predict the stiff solutions of plane-parallel flows at a small viscosity.…

Numerical Analysis · Mathematics 2023-11-28 Teng-Yuan Chang , Gung-Min Gie , Youngjoon Hong , Chang-Yeol Jung

Accurate modeling of personalized cardiovascular dynamics is crucial for non-invasive monitoring and therapy planning. State-of-the-art physics-informed neural network (PINN) approaches employ deep, multi-branch architectures with…

Machine Learning · Computer Science 2025-09-23 Ryan Chappell , Chayan Banerjee , Kien Nguyen , Clinton Fookes

Physics-informed neural networks (PINNs) have emerged as a powerful tool for solving inverse problems, especially in cases where no complete information about the system is known and scatter measurements are available. This is especially…

Computational Engineering, Finance, and Science · Computer Science 2023-08-03 Jeremias Garay , Jocelyn Dunstan , Sergio Uribe , Francisco Sahli Costabal