Shashikanth, Banavara N. Poisson brackets for the dynamically coupled system of a free boundary and a neutrally buoyant rigid body in a body-fixed frame. (English) Zbl 1442.37078 J. Geom. Mech. 12, No. 1, 25-52 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K06 37J06 74F10 76B07 53D17 35Q35 PDFBibTeX XMLCite \textit{B. N. Shashikanth}, J. Geom. Mech. 12, No. 1, 25--52 (2020; Zbl 1442.37078) Full Text: DOI arXiv
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. 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; Wei, Mingjun Hamiltonian structure and dynamics of a neutrally buoyant rigid sphere interacting with thin vortex rings. (English) Zbl 1261.76007 J. Math. Fluid Mech. 12, No. 3, 335-353 (2010). MSC: 76B47 70H05 70E99 PDFBibTeX XMLCite \textit{B. N. Shashikanth} et al., J. Math. Fluid Mech. 12, No. 3, 335--353 (2010; Zbl 1261.76007) Full Text: DOI
Shashikanth, Banavara N. Dissipative \(N\)-point-vortex models in the plane. (English) Zbl 1433.37079 J. Nonlinear Sci. 20, No. 1, 81-103 (2010). MSC: 37N10 76B47 37J06 34C14 PDFBibTeX XMLCite \textit{B. N. Shashikanth}, J. Nonlinear Sci. 20, No. 1, 81--103 (2010; Zbl 1433.37079) Full Text: DOI
Shashikanth, B. N. Poisson brackets for the dynamically interacting system of a 2D rigid cylinder and \(N\) point vortices: the case of arbitrary smooth cylinder shapes. (English) Zbl 1128.76315 Regul. Chaotic Dyn. 10, No. 1, 1-14 (2005). MSC: 76B47 70H05 74F10 53D17 37J15 PDFBibTeX XMLCite \textit{B. N. Shashikanth}, Regul. Chaotic Dyn. 10, No. 1, 1--14 (2005; Zbl 1128.76315) Full Text: DOI
Shashikanth, Banavara N.; Marsden, Jerrold E. Leapfrogging vortex rings: Hamiltonian structure, geometric phases and discrete reduction. (English) Zbl 1032.76537 Fluid Dyn. Res. 33, No. 4, 333-356 (2003). MSC: 76D17 37N10 PDFBibTeX XMLCite \textit{B. N. Shashikanth} and \textit{J. E. Marsden}, Fluid Dyn. Res. 33, No. 4, 333--356 (2003; Zbl 1032.76537) Full Text: DOI
Shashikanth, Banavara N.; Mardsen, Jerrold E.; Burdick, Joel W.; Kelly, Scott D. The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with \(N\) point vortices. (English) Zbl 1185.76481 Phys. Fluids 14, No. 3, 1214-1227 (2002). MSC: 76B47 37J99 37N10 70E99 76E30 PDFBibTeX XMLCite \textit{B. N. Shashikanth} et al., Phys. Fluids 14, No. 3, 1214--1227 (2002; Zbl 1185.76481) Full Text: DOI
Shashikanth, B. N.; Newton, P. K. Geometric phases for corotating elliptical vortex patches. (English) Zbl 1052.76011 J. Math. Phys. 41, No. 12, 8148-8162 (2000). MSC: 76B47 37N10 PDFBibTeX XMLCite \textit{B. N. Shashikanth} and \textit{P. K. Newton}, J. Math. Phys. 41, No. 12, 8148--8162 (2000; Zbl 1052.76011) Full Text: DOI Link
Shashikanth, B. N.; Newton, P. K. Vortex motion and the geometric phase. I: Basic configurations and asymptotics. (English) Zbl 0913.76016 J. Nonlinear Sci. 8, No. 2, 183-214 (1998). MSC: 76B47 37J99 37J35 37K10 37J40 PDFBibTeX XMLCite \textit{B. N. Shashikanth} and \textit{P. K. Newton}, J. Nonlinear Sci. 8, No. 2, 183--214 (1998; Zbl 0913.76016) Full Text: DOI