Abstract
In this note, we present a framework for the large time behavior of general uniformly bounded weak entropy solutions to the Cauchy problem of Euler-Poisson system of semiconductor devices. It is shown that the solutions converges to the stationary solutions exponentially in time. No smallness and regularity conditions are assumed.
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This work was partially supported by the National Natural Science Foundation of China (Grant No. 10471138), NSFC-NSAFG (Grant No. 10676037) and the Major State Basic Research Development Program of China (Grant No. 2006CB805902), and partially supported by NSF (Grant No. DMS-0505515)
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Huang, F., Pan, R. & Yu, H. Large time behavior of Euler-Poisson system for semiconductor. Sci. China Ser. A-Math. 51, 965–972 (2008). https://doi.org/10.1007/s11425-008-0049-4
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DOI: https://doi.org/10.1007/s11425-008-0049-4