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Generic Singularities for 2D Pressureless Flow
Alberto Bressan, Geng Chen, Shoujun Huang
In this paper, we consider the Cauchy problem for pressureless gases in two space dimensions with generic smooth initial data (density and velocity). These equations give rise to s…
math.AP2023
A remark on the uniqueness of solutions to hyperbolic conservation laws
Alberto Bressan, Camillo De Lellis
Given a strictly hyperbolic system of conservation laws, it is well known that there exists a unique Lipschitz semigroup of weak solutions, defined on a domain of funct…
math.AP2023
Unique Solutions to Hyperbolic Conservation Laws with a Strictly Convex Entropy
Alberto Bressan, Graziano Guerra
Consider a strictly hyperbolic system of conservation laws, where each characteristic field is either genuinely nonlinear or linearly degenerate. In this standard setti…