News & Events

State of the Art Seminar

Date/Time: 
Tuesday, November 21, 2017 - 11:30
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.

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