In this paper we study a non strictly systems of conservation law by stochastic perturbation. We show the existence and uniqueness of the solution. We do not assume that $BV$- regularity for the initial conditions. The proofs are based in concept of entropy solution and in the characteristics method (in the influence of noise). This is the first result on the regularization by noise in hyperbolic systems of conservation law.
Conservation law for the Cauchy-Navier equation of elastodynamics wave via Fourier transform
On the Existence of Solution of Conservation Law with Moving Bottleneck and Discontinuity in FLux
Conservation law of harmonic mappings in supercritical dimensions
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