@Article{JPDE-12-369, author = {Kaijun Zhang }, title = {Global Weak Solutions of the Cauchy Problem to a Hydrodynamic Model for Semiconductors}, journal = {Journal of Partial Differential Equations}, year = {1999}, volume = {12}, number = {4}, pages = {369--383}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5549.html} }