29 citations · 67 across the 4 of their papers we have counts for
4 papers
Traces for functions of bounded variation on manifolds with applications to conservation laws on manifolds with boundary
Dietmar Kröner, Thomas Müller, Lena Maria Strehlau
In this paper we show existence of a trace for functions of bounded variation on Riemannian manifolds with boundary. The trace, which is bounded in , is reached via …
Scalar conservation laws on moving hypersurfaces
Gerhard Dziuk, Dietmar Kröner, Thomas Müller
We consider conservation laws on moving hypersurfaces. In this work the velocity of the surface is prescribed. But one may think of the velocity to be given by PDEs in the bulk pha…
Geometric Error of Finite Volume Schemes for Conservation Laws on Evolving Surfaces
Jan Giesselmann, Thomas Müller
This paper studies finite volume schemes for scalar hyperbolic conservation laws on evolving hypersurfaces of . We compare theoretical schemes assuming knowledge of a…
Scalar conservation laws on constant and time-dependent Riemannian manifolds
Daniel Lengeler, Thomas Müller
In this paper we establish well-posedness for scalar conservation laws on closed manifolds M endowed with a constant or a time-dependent Riemannian metric for initial values in L^\…