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| The Semiclassical Limit in the Quantum Drift-Diffusion Equations with Isentropic Pressure |
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Citation： |
Li CHEN,Qiangchang JU.The Semiclassical Limit in the Quantum Drift-Diffusion Equations with Isentropic Pressure[J].Chinese Annals of Mathematics B,2008,29(4):369~384 |
| Page view： 1295
Net amount： 868 |
Authors： |
Li CHEN; Qiangchang JU |
Foundation： |
the National Natural Science Foundation of China (Nos. 10401019, 10701011, 10541001). |
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| Abstract： |
The semiclassical limit in the transient quantum drift-diffusion equations with isentropic pressure in one space dimension is rigorously proved. The equations are supplemented with homogeneous Neumann boundary conditions. It is shown that the semiclassical limit of this solution solves the classical drift-diffusion model. In the meanwhile, the global existence of weak solutions is proved. |
Keywords： |
Quantum drift-diffusion, Weak solution, Semiclassical limit, Isentropic |
Classification： |
35K35, 65M12, 65M20, 76Y05 |
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