Long-Time H1-Stability of the Cauchy One-Leg Theta-Method for the Navier-Stokes Equations
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914439115046912 |
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| author | Sanchez, Isabel Barrio Trenchea, Catalin Pei, Wenlong |
| author_facet | Sanchez, Isabel Barrio Trenchea, Catalin Pei, Wenlong |
| contents | In this paper we study the long-time stability of the Cauchy one-leg theta-methods for the two-dimensional NavierStokes equations. We establish the uniform dissipativity in H^1, in the sense that the semi-discrete-in-time approximations possess a global attractor for a small enough time step, using the discrete Gronwall lemma and the discrete uniform Gronwall lemma. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27861 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Long-Time H1-Stability of the Cauchy One-Leg Theta-Method for the Navier-Stokes Equations Sanchez, Isabel Barrio Trenchea, Catalin Pei, Wenlong Numerical Analysis In this paper we study the long-time stability of the Cauchy one-leg theta-methods for the two-dimensional NavierStokes equations. We establish the uniform dissipativity in H^1, in the sense that the semi-discrete-in-time approximations possess a global attractor for a small enough time step, using the discrete Gronwall lemma and the discrete uniform Gronwall lemma. |
| title | Long-Time H1-Stability of the Cauchy One-Leg Theta-Method for the Navier-Stokes Equations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2603.27861 |