TY - JOUR
T1 - Global Weak Solutions of the Cauchy Problem to a Hydrodynamic Model for Semiconductors
AU - Kaijun Zhang 
JO - Journal of Partial Differential Equations
VL - 4
SP - 369
EP - 383
PY - 1999
DA - 1999/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5549.html
KW - Hydrodynamic model
KW - Lax-Friedrichs scheme
KW - compensated compactness
AB -  In this paper we are concerned with the global existence of weak solutions of the Cauchy problem for a simplified one-dimensional hydrodynamic model for semiconductors. Convergence of approximate solutions derived by the fractional step Lax-Friedrichs scheme is established by using the compensated compactness method.