36 citations · 37 across the 12 of their papers we have counts for
4 papers · 1 filter
Necessary conditions for distributed optimal control of linearized compressible Navier-Stokes equations with state constraint
Stefan Doboszczak, Manil T. Mohan, Sivaguru S. Sritharan
A Pontryagin maximum principle for an optimal control problem in three dimensional linearized compressible viscous flows is established using the Ekeland variational principle. The…
Ideal Magnetohydrodynamic Equations on a Sphere and Elliptic-Hyperbolic Property
Ian Holloway, Sivaguru S. Sritharan
This work contains the derivation and type analysis of the conical Ideal Magnetohydrodynamic equations. The 3D Ideal MHD equations with Powell source terms, subject to the assumpti…
Numerical Solution of Compressible Euler and Magnetohydrodynamic flow past an infinite cone
Ian Holloway, Sivaguru S. Sritharan
A numerical scheme is developed for systems of conservation laws on manifolds which arise in high speed aerodynamics and magneto-aerodynamics. The systems are presented in an arbit…
Compressible Euler Equations on a Sphere and Elliptic-Hyperbolic Property
Ian Holloway, Sivaguru S. Sritharan
In this work we systematically derive the governing equations of supersonic conical flow by projecting the 3D Euler equations onto the unit sphere. These equations result from taki…