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math.AP2018
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…
math.AP2018
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+\…