We study the structure and smoothness of non-homogeneous convex conservation laws. The question regarding the number of smoothness pieces is addressed. It is shown that under certain conditions on the initial data the entropy solution has only a finite number of discontinuous curves. We also obtain
Relaxation Limit for Piecewise Smooth Solutions to Systems of Conservation Laws
β Scribed by Wen-Qing Xu
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 201 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study a rate-type viscoelastic system proposed in I. Suliciu Int. J. Engng. Ε½ . . Sci. 28 1990 , 827α841 , which is a 3 = 3 hyperbolic system with relaxation. As the relaxation time tends to zero, this system converges to the well-known p-system formally. In the case that the solutions of the p-s
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
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
We study the Cauchy problem for 2 X 2 semilinear and quasilinear hyperbolic systems with a singular relaxation term. Special comparison and compactness properties are established by assuming the subcharacteristic condition. Therefore we can prove the convergence to equilibrium of the solutions of th