|Dept.||Univ. of L'Aquila|
일시: 2015년 5월 7일 11:00 - 12:15
장소: 25동 104호
연사: Prof. Debora Amadori (Univ. of L'Aquila)
제목: : L^1 error estimates for balance laws with space-dependent source
This talk, based on a joint work with Laurent Gosse (IAC--CNR, Rome, Italy), will concern the approximation of balance laws in one space dimension.
The aim is to present a recent approach for proving rigorous L^1 error estimates for certain classes of approximations, showing the dependence on significant parameters of the problem.
We will focus on two main cases: the scalar conservation law with accretive source term or periodic forcing, and 2x2 semilinear systems with a space-dependent, weakly dissipative source term, that include the locally damped semilinear wave equation and the Jin-Xin relaxation model.
The analysis relies on a suitable modification of the original Bressan-Liu-Yang L^1-stability theory in order to properly handle the inhomogeneity of the system. Numerical illustrations are provided.