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Please email me at "vikas.krishnamurthy2 AT gmail.com" for a copy of any of these papers.

Journal Publications

[12] A. Constantin, D. G. Crowdy, V. S. Krishnamurthy, and M. H. Wheeler. Stuart-type polar vortices on a rotating sphere. Discrete Contin. Dyn. Syst. A, 41(1):201--215, 2021. [ DOI ]
[11] V. S. Krishnamurthy, M. H. Wheeler, D. G. Crowdy, and A. Constantin. Liouville chains: new hybrid vortex equilibria of the two-dimensional euler equation. J. Fluid Mech., 921:A1, 2021. [ DOI (Open Access) ]
[10] R. B. Nelson, V. S. Krishnamurthy, and D. G. Crowdy. The corotating hollow vortex pair: steady merger and break-up via a topological singularity. J. Fluid Mech., 907:A10, 2021. [ DOI | Postprint ]
[9] D. G. Crowdy, R. B. Nelson, and V. S. Krishnamurthy. 'H-states': exact solutions for a rotating hollow vortex. J. Fluid Mech., 913:R5, 2021. [ DOI | Postprint ]
[8] V. S. Krishnamurthy, M. H. Wheeler, D. G. Crowdy, and A. Constantin. A transformation between stationary point vortex equilibria. Proc. R. Soc. A, 476(2240):20200310, 2020. [ DOI | Postprint ]
[7] V. S. Krishnamurthy, M. H. Wheeler, D. G. Crowdy, and A. Constantin. Steady point vortex pair in a field of Stuart-type vorticity. J. Fluid Mech., 874:R1, 2019. [ DOI | Postprint ]
[6] V. S. Krishnamurthy. The vorticity equation on a rotating sphere and the shallow fluid approximation. Discrete Contin. Dyn. Syst. A, 39(11):6261--6276, 2019. [ DOI | Postprint ]
[5] A. Constantin and V. S. Krishnamurthy. Stuart-type vortices on a rotating sphere. J. Fluid Mech., 865:1072--1084, 2019. [ DOI | Postprint ]
[4] D. G. Crowdy and V. S. Krishnamurthy. The effect of core size on the speed of compressible hollow vortex streets. J. Fluid Mech., 836:797--827, 2018. [ DOI (Open Access) ]
[3] V. S. Krishnamurthy, H. Aref, and M. A. Stremler. Evolving geometry of a vortex triangle. Phys. Rev. Fluids, 3(2):024702, 2018. [ DOI | Full Text ]
[2] V. S. Krishnamurthy and M. A. Stremler. Finite-time Collapse of Three Point Vortices in the Plane. Regul. Chaotic Dyn., 23(5):530--550, 2018. [ DOI | Postprint ]
[1] D. G. Crowdy and V. S. Krishnamurthy. Speed of a von Kármán point vortex street in a weakly compressible fluid. Phys. Rev. Fluids, 2(11):114701, 2017. [ DOI | Full Text ]


Proceedings

[3] V. S. Krishnamurthy and D. G. Crowdy. Analytical solutions for weakly compressible von Karman vortex streets. In Contributions to the Foundations of Multidisciplinary Research in Mechanics, volume 2, pages 1562--63, 2016. [ http ]
[2] S. G. Llewellyn Smith, D. Freilich, V. S. Krishnamurthy, and D. G. Crowdy. Motion of a compressible vortex pair. In Contributions to the Foundations of Multidisciplinary Research in Mechanics, volume 2, pages 1532--33, 2016. [ http ]
[1] P. Beelen, M. Brøns, V. S. Krishnamurthy, and M. A. Stremler. Recent Progress in the Relative Equilibria of Point Vortices---In Memoriam Hassan Aref. volume 7, pages 3--12, 2013. [ DOI | http ]


Ph.D. Thesis

[1] V. S. Krishnamurthy. Theoretical models for compressible vortex dynamics. PhD thesis, Feb. 2017. [ http ]


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