𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convergence of the pseudo-viscosity approximation for conservation laws

✍ Scribed by Pierangelo Marcati; Roberto Natalini

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
513 KB
Volume
23
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Convergence to equilibrium for the relax
Convergence to equilibrium for the relaxation approximations of conservation laws
✍ Roberto Natalini πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 1023 KB

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

First-order L1-convergence for relaxatio
First-order L1-convergence for relaxation approximations to conservation laws
✍ Zhen–Huan Teng πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 518 KB

We derive a first-order rate of L 1 -convergence for stiff relaxation approximations to its equilibrium solutions, i.e., piecewise smooth entropy solutions with finitely many discontinuities for scalar, convex conservation laws. The piecewise smooth solutions include initial central rarefaction wave

Probabilistic viscosity algorithm for th
Probabilistic viscosity algorithm for the scalar conservation law
✍ Andrzej Korzeniowski πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 503 KB

We derive an algorithm for solving the initial value problem for u, = ia'u, + f(u)u,. The approach is based on the representation of the solution to the above equation in the form of the functional of Brownian motion. For small a w e get the approximation for u, = f(u)u.. A comparison with the rando