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Initial layer problem of the Boussinesq system for Rayleigh-Bénard convection with infinite Prandtl number limit
| Content Provider | Semantic Scholar |
|---|---|
| Author | Fan, Xiaoting Wang, Shu Xu, Wenqing Liu, Mingshuo |
| Copyright Year | 2018 |
| Abstract | Abstract The main purpose of this paper is to study the initial layer problem and the infinite Prandtl number limit of Rayleigh-Bénard convection with an ill prepared initial data. We use the asymptotic expansion methods of singular perturbation theory and the two-time-scale approach to obtain an exact approximating solution and the convergence rates O(ε32) $O(\varepsilon^{\frac{3}{2}})$ and O(ε2). |
| Starting Page | 1145 |
| Ending Page | 1160 |
| Page Count | 16 |
| File Format | PDF HTM / HTML |
| DOI | 10.1515/math-2018-0094 |
| Alternate Webpage(s) | https://www.degruyter.com/downloadpdf/j/math.2018.16.issue-1/math-2018-0094/math-2018-0094.pdf |
| Alternate Webpage(s) | https://doi.org/10.1515/math-2018-0094 |
| Volume Number | 16 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
