2 papers
math.AP2025
Shock formation in 1D conservation laws II: Vanishing viscosity
John Anderson, Sanchit Chaturvedi, Cole Graham
We study the effects of weak viscosity on shock formation in 1D hyperbolic conservation laws. Given an inviscid solution that forms a nondegenerate shock, we add a small viscous re…
math.AP2025
Shock formation in 1D conservation laws I: Inviscid structure
John Anderson, Sanchit Chaturvedi, Cole Graham
We study the stability and structure of shock formation in 1D hyperbolic conservation laws. We show that shock formation is stable near shocking simple waves: perturbations form a…