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math.AP2022
Explicit structure of the vanishing viscosity limits for the zero-pressure gas dynamics system initiated by the linear combination of a characteristic function and a -distribution
Abhishek Das
In this article, we consider the one-dimensional zero-pressure gas dynamics system \[ u_t + \left( {u^2}/{2} \right)_x = 0,\ ρ_t + (ρu)_x = 0 \] in the upper-half plane with a line…
math.AP2022
Explicit structure of the vanishing viscosity limits with initial data consisting of -distributions starting from two point sources
Abhishek Das
In this article, we consider the one-dimensional zero-pressure gas dynamics system \[ u_t + \left( {u^2}/{2} \right)_x = 0,\ ρ_t + (ρu)_x = 0 \] in the upper-half plane with a line…