Godunov’s method for initial-boundary value problem of scalar conservation laws
✍ Scribed by Gui-cheng Lin; Wan-cheng Sheng
- Book ID
- 107482612
- Publisher
- Chinese Electronic Periodical Services
- Year
- 2008
- Tongue
- English
- Weight
- 629 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1007-6417
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📜 SIMILAR VOLUMES
This paper is concerned with the asymptotic behaviors of the solutions to the initialboundary value problem for scalar viscous conservations laws ut + f(u), = uzz on [0, 11, with the boundary condition u(O,t) = u\_(t) -+ u\_, u(l,t) = u+(t) + u+, as t --t +m and the initial data u(z,O) = uo(z) satis
The initial value problem of convex conservation laws, which includes the famous Burgers' (inviscid) equation, plays an important rule not only in theoretical analysis for conservation laws, but also in numerical computations for various numerical methods. For example, the initial value problem of t
## Abstract We examine the existence and regularity results for a scalar conservation law with a convexity condition and solve its weak solution with shocks by using a special method of characterization combined with a representation formula for the weak solution.