Weakly Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws by Chen, G, Xiang, W, Zhang, Y

“…Finally, we extend the results to the case with non-compact support initial data of bounded variation. © 2013 Copyright Taylor and Francis Group, LLC.…”

Stability of conical shocks in the three-dimensional steady supersonic isothermal flows past lipschitz perturbed cones by Chen, G-QG, Kuang, J, Zhang, Y

“…We first formulate the shock stability problem as an initial boundary value problem with the leading conical shock-front as a free boundary, and then establish the existence and structural/asymptotic stability of global entropy solutions of bounded variation (BV) of the problem. To achieve this, we first develop a modified Glimm scheme to construct approximate solutions via self-similar solutions as building blocks in order to incorporate with the geometric source term. …”