Vikas S. Krishnamurthy

About

I am an Assistant Professor in the Department of Mathematics at IIT Hyderabad. Prior to my current position, I was a postdoctoral fellow at the Faculty of Mathematics, University of Vienna. I obtained my PhD in 2017 from the Department of Mathematics, Imperial College London.

My research interests are in applied mathematics and fluid dynamics. Specifically I am interested in applied complex analysis, vorticity and vortex dynamics.

Employment

• Indian Institute of Technology Hyderabad
  2022 - Present
• University of Vienna Postdoctoral Research Fellow
  2018 - 2022
• Erwin-Schrödinger-Institut für Mathematische Physik Junior Research Fellow
  2018 - 2018
• Universidade Federal de Pernambuco Postdoc (Science without borders)
  2017 - 2018

Education

• Imperial College London Ph.D.
  2012 - 2017
• Virginia Polytechnic Institute and State University
  2010 - 2012
• University of Mysore Integrated Masters
  2005 - 2010

Projects & Funding

Projects & funding information is unavailable.

Publications (22)

• Continuous family of point vortex lattice equilibria in doubly periodic rectangular domains with a Liouville-type background vorticity
  Physical Review E 2026 DOI: 10.1103/1vzq-hvdv
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• Steady translating hollow vortex pair in weakly compressible flow
  Physica D: Nonlinear Phenomena 2024 DOI: 10.1016/j.physd.2023.133943
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• The N-vortex problem in a doubly periodic rectangular domain with constant background vorticity
  Physica D: Nonlinear Phenomena 2023 DOI: 10.1016/J.PHYSD.2023.133728
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• Quantized point vortex equilibria in a one-way interaction model with a Liouville-type background vorticity on a curved torus
  Journal of Mathematical Physics 2022 DOI: 10.1063/5.0062659
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• Liouville links and chains on the plane and associated stationary point vortex equilibria
  Communications on Pure and Applied Analysis 2022 DOI: 10.3934/cpaa.2022076
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• Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation
  Journal of Fluid Mechanics 2021 DOI: 10.1017/jfm.2021.285
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• ‘H-states’: exact solutions for a rotating hollow vortex
  Journal of Fluid Mechanics 2021 DOI: 10.1017/jfm.2021.55
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• The corotating hollow vortex pair: steady merger and break-up via a topological singularity
  Journal of Fluid Mechanics 2021 DOI: 10.1017/jfm.2020.803
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• A transformation between stationary point vortex equilibria
  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2020 DOI: 10.1098/rspa.2020.0310
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• Liouville chains: new hybrid vortex equilibria of the 2D Euler equation
  ArXiv 2020
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