TY - JOUR
T1 - The Global Solutions of the Scalar Nonconvex Conservation Law with Boundary Condition
JO - Journal of Partial Differential Equations
VL - 4
SP - 371
EP - 383
PY - 1995
DA - 1995/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5668.html
KW - Scalar conservation law
KW - nonconvex
KW - boundary condition
KW - polygonal approximations method
AB -  Using the polygonal approximations method, we construct the global approximate solution of the initial boundary value problem (1.1)-(1.3) for the scalar nonconvex conservation law, and prove its convergence. The crux of this work is to clarify the behavior of the approximations on the boundary x = 0.