Asymptotic Equivalence and Decay Characterization in Second-Grade Fluid Equations
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910858006757376 |
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| author | Cruz, Felipe W. Niche, César J. Perusato, Cilon F. Rojas-Medar, Marko |
| author_facet | Cruz, Felipe W. Niche, César J. Perusato, Cilon F. Rojas-Medar, Marko |
| contents | We establish new asymptotic results for the solutions of the second-grade fluids equations and characterize their decay rate in terms of the behavior of the initial data. Moreover, assuming more regularity for the initial data, we study the large-time behavior of these solutions by comparing them to the solutions of the linearized equations. As a consequence, we obtain lower bounds for the solutions. Other auxiliary results of interest are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02590 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic Equivalence and Decay Characterization in Second-Grade Fluid Equations Cruz, Felipe W. Niche, César J. Perusato, Cilon F. Rojas-Medar, Marko Analysis of PDEs We establish new asymptotic results for the solutions of the second-grade fluids equations and characterize their decay rate in terms of the behavior of the initial data. Moreover, assuming more regularity for the initial data, we study the large-time behavior of these solutions by comparing them to the solutions of the linearized equations. As a consequence, we obtain lower bounds for the solutions. Other auxiliary results of interest are discussed. |
| title | Asymptotic Equivalence and Decay Characterization in Second-Grade Fluid Equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.02590 |