Hernández-Garduño, Antonio; Shashikanth, Banavara N. Reconstruction phases in the planar three- and four-vortex problems. (English) Zbl 1390.37095 Nonlinearity 31, No. 3, 783-814 (2018). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37J15 53D20 70H33 76B47 PDFBibTeX XMLCite \textit{A. Hernández-Garduño} and \textit{B. N. Shashikanth}, Nonlinearity 31, No. 3, 783--814 (2018; Zbl 1390.37095) Full Text: DOI arXiv
Shashikanth, Banavara N. Kirchhoff’s equations of motion via a constrained Zakharov system. (English) Zbl 1418.37109 J. Geom. Mech. 8, No. 4, 461-485 (2016). MSC: 37J60 37J35 70E18 70H45 PDFBibTeX XMLCite \textit{B. N. Shashikanth}, J. Geom. Mech. 8, No. 4, 461--485 (2016; Zbl 1418.37109) Full Text: DOI
Shashikanth, Banavara N. Vortex dynamics in \(\mathbb{R}^4\). (English) Zbl 1273.76069 J. Math. Phys. 53, No. 1, 013103, 21 p. (2012). MSC: 76B47 PDFBibTeX XMLCite \textit{B. N. Shashikanth}, J. Math. Phys. 53, No. 1, 013103, 21 p. (2012; Zbl 1273.76069) Full Text: DOI arXiv
Shashikanth, Banavara N.; Sheshmani, Artan; Kelly, Scott David; Marsden, Jerrold E. Hamiltonian structure for a neutrally buoyant rigid body interacting with \(N\) vortex rings of arbitrary shape: The case of arbitrary smooth body shape. (English) Zbl 1161.76447 Theor. Comput. Fluid Dyn. 22, No. 1, 37-64 (2008). MSC: 76B47 70E99 PDFBibTeX XMLCite \textit{B. N. Shashikanth} et al., Theor. Comput. Fluid Dyn. 22, No. 1, 37--64 (2008; Zbl 1161.76447) Full Text: DOI