Asymptotic Stability and the Forcing Term: An Analysis of Non-Newtonian Thin-Film Flows
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908746052009984 |
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| author | Zhao, Jinhong Guo, Bin |
| author_facet | Zhao, Jinhong Guo, Bin |
| contents | We study a class of fourth-order quasilinear degenerate parabolic equations under both time-and space-dependent and time-and space-independent forces, modeling non-Newtonian thin-film flow over a solid surface in the "complete wetting" regime. By analyzing the quantitative properties of solutions to non-autonomous differential inequalities and employing refined integral estimates, we derive two-sided convergence rate estimates for the solution. Numerical simulations are further provided to illustrate the consistency of our main results with the observed physical phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04947 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic Stability and the Forcing Term: An Analysis of Non-Newtonian Thin-Film Flows Zhao, Jinhong Guo, Bin Analysis of PDEs Numerical Analysis Mathematical Physics 76A05, 76A20, 35B40, 35K35 We study a class of fourth-order quasilinear degenerate parabolic equations under both time-and space-dependent and time-and space-independent forces, modeling non-Newtonian thin-film flow over a solid surface in the "complete wetting" regime. By analyzing the quantitative properties of solutions to non-autonomous differential inequalities and employing refined integral estimates, we derive two-sided convergence rate estimates for the solution. Numerical simulations are further provided to illustrate the consistency of our main results with the observed physical phenomena. |
| title | Asymptotic Stability and the Forcing Term: An Analysis of Non-Newtonian Thin-Film Flows |
| topic | Analysis of PDEs Numerical Analysis Mathematical Physics 76A05, 76A20, 35B40, 35K35 |
| url | https://arxiv.org/abs/2511.04947 |