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Volume 12, Issue 4
Global Weak Solutions of the Cauchy Problem to a Hydrodynamic Model for Semiconductors

Kaijun Zhang

J. Part. Diff. Eq., 12 (1999), pp. 369-383.

Published online: 1999-12

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  • 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.
  • Keywords

Hydrodynamic model Lax-Friedrichs scheme compensated compactness

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@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} }
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.
Kaijun Zhang . (1999). Global Weak Solutions of the Cauchy Problem to a Hydrodynamic Model for Semiconductors. Journal of Partial Differential Equations. 12 (4). 369-383. doi:
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