On the Variational Statement of One Boundary-Value Problem with Free Interface
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s11253-023-02260-0.pdf
Reference7 articles.
1. I. A. Lukovskii and A. N. Timokha, “Variational formulations of nonlinear boundary-value problems with a free boundary in the theory of interaction of surface waves with acoustic fields,” Ukr. Mat. Zh., 45, No. 12, 1642–1652 (1993); English translation: Ukr. Math. J., 45, No. 12, 1849–1860 (1993); DOI: https://doi.org/10.1007/BF01061355.
2. M. O. Chernova, I. A. Lukovsky, and A. N. Timokha, “Differential and variational formalism for acoustically-levitating drops,” Nelin. Kolyv., 18, No. 3, 413–428 (2015); English translation: J. Math. Sci., 220, No. 3, 359–375 (2017); DOI: https://doi.org/10.1007/s10958-016-3189-z.
3. K. Pandey, D. Prabhakaran, and S. Basu, “Review of transport processes and particle self-assembly in acoustically levitated nanofluid droplets,” Phys. Fluids, 31, No. 11, Article 112102 (2019); DOI: https://doi.org/10.1063/1.5125059.
4. H. Chen, A. Li, Y. Zhang, and Z. Xiaoqiang, “Evaporation and liquid-phase separation of ethanol-cyclohexane binary drops under acoustic levitation,” Phys. Fluids, 34, No. 9, Article 092108 (2022); DOI: https://doi.org/10.1063/5.0109520.
5. A. N. Timokha, “A note on the variational formalism for sloshing with rotational flows in a rigid tank with unprescribed motion,” Ukr. Mat. Zh., 73, No. 10, 1368–1376 (2021); Ukr. Math. J., 73, No. 10, 1580–1589 (2022); DOI: https://doi.org/10.1007/s11253-022-02015-3.
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