| 概要 |
In this talk we will summarize the known results on the concept of renormalized dissipative measures-valued (rDMV) solutions and prove their existence.
Namely, we formulate the complete Euler system in conservative variables usual for numerical analysis and recall the concept of rDMV solutions based on the total energy balance and renormalization of entropy inequality for the physical entropy.
We then give two different ways how to generate rDMV solutions.
First via vanishing viscosity limit using Navier-Stokes equations coupled with entropy transport and second via the vanishing dissipation limit of the two-velocity model proposed by H. Brenner.
|