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
Entropy functions for symmetric systems of conservation laws
β Scribed by Eitan Tadmor
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 233 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
In this paper we introduce a new entropy functional for a scalar convex conservation law that generalizes the traditional concept of entropy of the second law of thermodynamics. The generalization has two aspects: The new entropy functional is defined not for one but for two solutions. It is defined
A priori estimates for weak solutions of nonlinear systems of conservation laws remain in short supply. In this note we obtain an estimate of the rate of total entropy dissipation for initialΓboundary value problems for such systems, of any dimension and in any number of space variables. The essenti
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