16 citations · 19 across the 11 of their papers we have counts for
16 papers
A new angular momentum method for computing wave maps into spheres
Trygve Karper, Franziska Weber
In this paper, we present and analyze a new finite difference method for computing three dimensional wave maps into spheres. By introducing the angular momentum as an auxiliary var…
On the analysis of a coupled kinetic-fluid model with local alignment forces
J. A. Carrillo, Y. -P. Choi, T. K. Karper
This paper studies global existence, hydrodynamic limit, and large-time behavior of weak solutions to a kinetic flocking model coupled to the incompressible Navier-Stokes equations…
Convergent finite differences for 1D viscous isentropic flow in Eulerian coordinates
Trygve K. Karper
We construct a new finite difference method for the flow of ideal viscous isentropic gas in one spatial dimension. For the continuity equation, the method is a standard upwind disc…
A convergent FEM-DG method for the compressible Navier-Stokes equations
Trygve K. Karper
This paper presents a new numerical method for the compressible Navier-Stokes equations governing the flow of an ideal isentropic gas. To approximate the continuity equation, the m…
Hydrodynamic limit of the kinetic Cucker-Smale flocking model
Trygve Karper, Antoine Mellet, Konstantina Trivisa
The hydrodynamic limit of a kinetic Cucker-Smale model is investigated. In addition to the free-transport of individuals and the Cucker-Smale alignment operator, the model under co…
Existence of weak solutions to kinetic flocking models
Trygve Karper, Antoine Mellet, Konstantina Trivisa
We establish the global existence of weak solutions to a class of kinetic flocking equations. The models under consideration include the kinetic Cucker-Smale equation with possibly…