Local Well-Posedness of a Modified NSCH-Oldroyd System: PINN-Based Numerical Computation
Analysis of PDEs
2026-05-12 v3 Numerical Analysis
Numerical Analysis
Abstract
Motivated by thrombus modeling, we study a modified Navier-Stokes-Cahn-Hilliard system and consider PINN-based numerical illustrations for the modified system. To enable the analysis, we introduce a diffusion-enhanced system for the deformation variable while preserving the associated dissipative energy structure. We prove local well-posedness for this new system. We also present PINN-based numerical illustrations for representative thrombus cases and report residual losses and benchmark errors obtained with Metropolis-Hastings sampling based on the energy decay.
Cite
@article{arxiv.2604.10616,
title = {Local Well-Posedness of a Modified NSCH-Oldroyd System: PINN-Based Numerical Computation},
author = {Woojeong Kim},
journal= {arXiv preprint arXiv:2604.10616},
year = {2026}
}
Comments
58pages, 14 figures