Local Well-Posedness of a Modified NSCH-Oldroyd System: PINN-Based Numerical Computation
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917476369956864 |
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| author | Kim, Woojeong |
| author_facet | Kim, Woojeong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10616 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local Well-Posedness of a Modified NSCH-Oldroyd System: PINN-Based Numerical Computation Kim, Woojeong Analysis of PDEs Numerical Analysis 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. |
| title | Local Well-Posedness of a Modified NSCH-Oldroyd System: PINN-Based Numerical Computation |
| topic | Analysis of PDEs Numerical Analysis |
| url | https://arxiv.org/abs/2604.10616 |