Construction of tangent vectors to multi-dimensional scalar conservation laws
 
In this talk, we investigate the effect of perturbations in the initial data on the solution of a scalar conservation law. In the context of hyperbolic conservation laws this becomes challenging, because both the data and the shock positions are influenced by the initial perturbations. Consequently, the evolution operator is generically non-differentiable in L1 with respect to the initial data. Our goal is to establish tangent vectors that account for both variations in function values and shifts in shock positions, specifically for multidimensional conservation laws.