Govind S. Krishnaswami

I am a theoretical physicist working as a Professor at the Chennai Mathematical Institute (CMI). I was a Ramanujan Fellow at CMI, an EPSRC Fellow at Durham University, a Marie Curie Fellow with Gerard 't Hooft at Utrecht and a Ph.D. student of S. G. Rajeev at Rochester. Email: govind at cmi dot ac point in Teaching and Student theses/projects Curriculum Vitae & Publications, Talks

Research Interests: Theoretical and Mathematical Physics: Nonlinear Dynamics & Chaos, Integrable Systems, Fluid & Plasma Dynamics, Particle Physics, Quantum Field Theory, Large-N limits.

Book: Classical Mechanics: From Particles to Continua and Regularity to Chaos

Recent Papers:

1. Level crossing instabilities in inviscid isothermal compressible Couette flow
2. Quantum three-rotor problem in the identity representation
3. Screwon spectral statistics and dispersion relation in the quantum Rajeev-Ranken model
4. Bifurcation cascade, self-similarity and duality in the 3-rotor problem
5. Quantum Rajeev-Ranken model as an anharmonic oscillator
6. The idea of a Lax pair - Part II: Continuum Wave Equations
7. The idea of a Lax pair - Part I: Conserved quantities for a dynamical system
8. An introduction to Lax pairs and the zero curvature representation
9. The Added Mass Effect and the Higgs Mechanism: How Accelerated Bodies and Elementary Particles Can Gain Inertia
10. Ergodicity, mixing and recurrence in the three rotor problem
11. Nonlinear dispersive regularization of inviscid gas dynamics
12. Invariant tori, action-angle variables and phase space structure of the Rajeev-Ranken model
13. Classical three rotor problem: periodic solutions, stability and chaos
14. On the Hamiltonian formulation, integrability and algebraic structures of the Rajeev-Ranken model
15. An Introduction to the Classical Three-Body Problem: From Periodic Solutions to Instabilities and Chaos
16. Stability and chaos in the classical three rotor problem
17. Conservative regularization of compressible dissipationless two-fluid plasmas
18. Curvature and geodesic instabilities in a geometrical approach to the planar three-body problem
19. Algebra and geometry of Hamilton's quaternions
20. Local conservative regularizations of compressible magnetohydrodynamic and neutral flows
21. Conservative regularization of compressible flow and ideal magnetohydrodynamics
22. A critique of recent semi-classical spin-half quantum plasma theories
23. Higgs Mechanism and the Added-Mass Effect
24. Comment on "Spin-Gradient-Driven Light Amplification in a Quantum Plasma"
25. A critique of recent theories of spin-half quantum plasmas
26. A KdV-like advection-dispersion equation with some remarkable properties
27. On lightest baryon and its excitations in large-N 1+1-dimensional QCD
28. Possible large-N fixed-points and naturalness for O(N) scalar fields
29. Schwinger-Dyson operators as invariant vector fields on a matrix-model analogue of the group of loops
30. Schwinger-Dyson operator of Yang-Mills matrix models with ghosts and derivations of the graded shuffle algebra
31. Non-anomalous `Ward' identities to supplement large-N multi-matrix loop equations for correlations
32. Multi-matrix loop equations: algebraic & differential structures and an approximation based on deformation quantization
33. Phase transition in matrix model with logarithmic action: Toy-model for gluons in baryons
34. 2+1 Abelian `Gauge Theory' Inspired by Ideal Hydrodynamics
    

Other Research Topics: Variational Principle for Large-N Multi-Matrix Models formulated as classical dynamical systems, Approximation methods for Large-N Yang-Mills Theory and matrix models, Non-perturbative structure of Baryons as Solitons in the large N limit of Two-dimensional QCD, Loop space representation of Yang-Mills Theory, Non-commutative Probability Theory.

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