Weak solutions to the stationary quantum drift-diffusion model
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Publication:837604
DOI10.1016/j.jmaa.2009.06.030zbMath1173.35644OpenAlexW2094392078MaRDI QIDQ837604
Publication date: 20 August 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.030
a priori estimatesstationary solutionssemiclassical limitfixed-point theoremquantum drift-diffusion model
Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37)
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Cites Work
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- The thermal equilibrium solution of a generic bipolar quantum hydrodynamic model
- On the stationary quantum drift-diffusion model
- Nonlinear problems in quantum semiconductor modeling.
- A Positivity-Preserving Numerical Scheme for a Nonlinear Fourth Order Parabolic System
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