Multiple bubble dynamics and velocity selection in Laplacian growth without surface tension
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2015
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| _version_ | 1866911761065574400 |
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| author | Mineev-Weinstein, Mark Vasconcelos, Giovani L. |
| author_facet | Mineev-Weinstein, Mark Vasconcelos, Giovani L. |
| contents | A new selection phenomenon in nonlinear interface dynamics is predicted. A generic class of exact regular unsteady multi-bubble solutions in a Hele-Shaw cell is presented. These solutions show that the case where the asymptotic bubble velocity, $U$, is twice greater than the velocity, $V$, of the uniform background flow, i.e., $U = 2V$, is the only attractor of the dynamics. Contrary to common belief, the predicted velocity selection requires neither surface tension nor other external regularization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1501_01052 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Multiple bubble dynamics and velocity selection in Laplacian growth without surface tension Mineev-Weinstein, Mark Vasconcelos, Giovani L. Fluid Dynamics Pattern Formation and Solitons Exactly Solvable and Integrable Systems A new selection phenomenon in nonlinear interface dynamics is predicted. A generic class of exact regular unsteady multi-bubble solutions in a Hele-Shaw cell is presented. These solutions show that the case where the asymptotic bubble velocity, $U$, is twice greater than the velocity, $V$, of the uniform background flow, i.e., $U = 2V$, is the only attractor of the dynamics. Contrary to common belief, the predicted velocity selection requires neither surface tension nor other external regularization. |
| title | Multiple bubble dynamics and velocity selection in Laplacian growth without surface tension |
| topic | Fluid Dynamics Pattern Formation and Solitons Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/1501.01052 |