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
Initial Boundary Value Problem for Conservation Laws
β Scribed by Pui Tak Kan; Marcelo M. Santos; Zhouping Xin
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 295 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0010-3616
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The hyperbolic conservation laws with relaxation appear in many physical models such as those for gas dynamics with thermo-non-equilibrium, elasticity with memory, flood flow with friction, traffic flow, etc.. The main concern of this article is the long-time effect of the relaxations on the boundar
We study the boundary layer effect in the small relaxation limit to the equilibrium scalar conservation laws in one space dimension for the relaxation system proposed in [6]. First, it is shown that for initial and boundary data satisfying a strict version of the subcharacteristic condition, there
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