4 papers · 1 filter
Well-posedness for stochastic scalar conservation laws on Riemannian manifolds
Nikola Konatar, Darko Mitrovic, Eduard Nigsch
We consider the scalar conservation law with stochastic forcing $$ \partial_t u +\mathrm{div}_g {\mathfrak f}(\mx,u)= Φ(\mx,u) dW, \ \ {\bf x} \in M, \ \ t\geq 0 $$ on a smooth com…
Existence and Uniqueness of Singular Solutions for a Conservation Law Arising in Magnetohydrodynamics
Henrik Kalisch, Darko Mitrovic, Vincent Teyekpiti
The Brio system is a two-by-two system of conservation laws arising as a simplified model in ideal magnetohydrodynamics (MHD). The system has the form \begin{align*} \partial_t u+\…
A generalization of -measures and application on purely fractional scalar conservation laws
Darko Mitrovic, Ivan Ivec
We extend the notion of -measures on test functions defined on , where is an arbitrary compact simply connected Lipschitz manifold such that there…
New entropy conditions for scalar conservation laws with discontinuous flux
Darko Mitrovic
We propose new Kruzhkov type entropy conditions for one dimensional scalar conservation law with a discontinuous flux. We prove existence and uniqueness of the entropy admissible w…