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math.AP2022

Dynamic Programming of Stochastic 2-D Navier-Stokes Equations Forced by Levy Noise

Manil. T. Mohan, K. Sakthivel, Sivaguru S. Sritharan

In this article, we study optimal feedback control synthesis of stochastic 2D Navier-Stokes equations perturbed Levy type noise with distributed stochastic control process acting o…

math.AP2022

Dynamic Programming of Stochastic Burgers Equation Driven by Levy Noise

Manil T. Mohan, K. Sakthivel, Sivaguru S. Sritharan

In this work, we study the optimal control of stochastic Burgers equation perturbed by Gaussian and Levy type noises with distributed control process acting on the state equation.…

math.AP2019

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…

math.AP2019

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…

math.AP2019

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…