𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The entropy rate admissibility criterion for solutions of hyperbolic conservation laws

✍ Scribed by Constantine M Dafermos

Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
539 KB
Volume
14
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Uniqueness failure for entropy solutions
Uniqueness failure for entropy solutions of hyperbolic systems of conservation laws
✍ Michael Sever πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 460 KB πŸ‘ 1 views

We consider a nonlinear system of conservation laws, which is strictly hyperbolic, genuinely nonlinear in the large, equipped with a convex entropy function and global Riemann invariants. Nevertheless, for such a system of dimension five, it is shown that uniqueness of the similarity solution of a R

Correction to: β€œUniqueness failure for e
Correction to: β€œUniqueness failure for entropy solutions of hyperbolic systems of conservation laws”
✍ Michael Sever πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 112 KB πŸ‘ 1 views

The proof of Theorem 4.1 requires correction. The theorem is correct as stated, and the basic method of proof is valid. Only the method for making det A' negative is erroneous. Before giving the details, we make several general comments. The linear transformation (in particular valid for weak solu

Solutions in the large for some nonlinea
Solutions in the large for some nonlinear hyperbolic conservation laws
✍ Takaaki Nishida; Joel A. Smoller πŸ“‚ Article πŸ“… 1973 πŸ› John Wiley and Sons 🌐 English βš– 513 KB

Here u is the specific volume, u = I/p, p is the density and u is the speed of the gas. The equation of state of the gas is p ( v ) = k2/uY, where y is a constant, y = 1 + 2 ~, and E will be a small positive constant throughout this paper. We consider the initial value problem for (1) in the region

Criterion of hyperbolicity for non-conse
Criterion of hyperbolicity for non-conservative quasilinear systems admitting a partially convex conservation law
✍ A. Forestier; S. Gavrilyuk πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 166 KB

## Communicated by M. Renardy A system of conservation laws admitting an additional convex conservation law can be written as a symmetric t-hyperbolic in the sense of Friedrichs system. However, in mathematical modeling of complex physical phenomena, it is customary to use non-conservative hyperbo