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Small-data shock formation in solutions to 3D quasilinear wave equations: An overview

Small-data shock formation in solutions to 3D quasilinear wave equations: An overview

In his 2007 monograph, Christodoulou proved a remarkable result giving a detailed description of shock formation, for small [Formula: see text]-initial conditions (with [Formula: see text] sufficiently large), in solutions to the relativistic Euler equations in three space dimensions. His work provided a significant advancement over a large body of …