4 papers
Error Estimates for Discontinuous Galerkin Approximations to the Vlasov-Unsteady Stokes System
Harsha Hutridurga, Krishan Kumar, Amiya K. Pani
In the first part of this paper, uniqueness of strong solution is established for the Vlasov-unsteady Stokes problem in 3D. The second part deals with a semi discrete scheme, which…
Finite element approximation to the non-stationary quasi-geostrophic equation
Dohyun Kim, Amiya K. Pani, Eun-Jae Park
In this paper, C1-conforming element methods are analyzed for the stream function formulation of a single layer non-stationary quasi-geostrophic equation in the ocean circulation m…
Periodic Vlasov-Stokes' system: Existence and Uniqueness of strong solutions
Harsha Hutridurga, Krishan Kumar, Amiya K. Pani
This paper deals with the Vlasov-Stokes' system in three dimensions with periodic boundary conditions in the spatial variable. We prove the existence of a unique strong solution to…
Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers' System
Harsha Hutridurga, Krishan Kumar, Amiya K. Pani
In this paper, semi-discrete numerical scheme for the approximation of the periodic Vlasov-viscous Burgers' system is developed and analyzed. The scheme is based on the coupling of…