168 citations · 614 across the 54 of their papers we have counts for
4 papers · 1 filter
On angular measures in axiomatic Euclidean planar geometry
Martin Grötschel, Harald Hanche-Olsen, Helge Holden +1
We address the issue of angular measure, which is a contested issue for the International System of Units (SI). We provide a mathematically rigorous and axiomatic presentation of a…
Singular Diffusion with Neumann boundary conditions
Giuseppe Maria Coclite, Helge Holden, Nils Henrik Risebro
In this paper we develop an existence theory for the nonlinear initial-boundary value problem with singular diffusion , w…
The Hunter-Saxton equation with noise
Helge Holden, Kenneth H. Karlsen, Peter H. C. Pang
In this paper we develop an existence theory for the Cauchy problem to the stochastic Hunter-Saxton equatio, and prove several properties of the blow-up of its solutions. An import…
On The Microscopic Modeling of Vehicular Traffic on General Networks
Rinaldo M. Colombo, Helge Holden, Francesca Marcellini
We introduce a formalism to deal with the microscopic modeling of vehicular traffic on a road network. Traffic on each road is uni-directional, and the dynamics of each vehicle is…