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math.AP2024
The Initial Stages of a Generic Singularity for a 2D Pressureless Gas
Alberto Bressan, Geng Chen, Shoujun Huang
We consider the Cauchy problem for the equations of pressureless gases in two space dimensions. For a generic set of smooth initial data (density and velocity), it is known that th…
math.AP2023★ 1 cited
One Dimensional Hyperbolic Conservation Laws: Past and Future
Alberto Bressan
Aim of these notes is provide a brief review of the current well-posedness theory for hyperbolic systems of conservation laws in one space dimension, also pointing out open problem…