Venue
Seminar Hall, SMS
Speaker
Abhrojyoti Sen
Affiliation
SMS, NISER
Title
Vanishing Pressure Limit For a Non-strictly Hyperbolic System
In this talk we will be discussing about vanishing pressure limit for the equation
u_t + (u^2/2)_x = 0
ρ_t + (ρu)_x = 0,
with initial data
u(x, 0) = u_0(x),
ρ(x, 0) = ρ_0(x),
where u is the velocity component and ρ is the density component. This equation is considered as one of the model for the large scale structure formation of universe. In this direction we find some partial results for Reimann type initial data.