## Abstract The notion of a measure‐valued solution for the Euler and the Navier‐Stokes equations is introduced and its global in time existence is proved.
Measure-valued Solutions of the Euler Equations for Ideal Compressible Polytropic Fluids
✍ Scribed by Dietmar Kröner; Wojciech M. Zajaczkowski
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 609 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
✦ Synopsis
Communicated by W. Wendland
The existence of global measure-valued solutions to the Euler equations describing the motion of an ideal compressible and heat conducting fluid is proved. The motion is considered in a bounded domain i2 c R 3 with impermeable boundary. The solution is a limit of an approximate solution obtained by adding the sixth-order elliptic operator in the equation of momentum.
📜 SIMILAR VOLUMES
as an initial value problem with appropriate boundary conditions. In this paper, we seek the self-similar solutions Computations of self-similar solutions of the compressible Euler equations as a boundary value problem in similarity coordinates of the compressible Euler equations as a boundary value
## Abstract We study the isentropic compressible Navier–Stokes equations with radially symmetric data in an annular domain. We first prove the global existence and regularity results on the radially symmetric __weak solutions__ with non‐negative bounded densities. Then we prove the global existence