日時: |
2004年01月27日(火) 11:00〜12:30 |
場所: |
京都大学大学院工学研究科 航空宇宙工学専攻(工学部11号館) 2階 会議室(219号室) |
講演者: |
Prof. Peter Markowich (Department of Mathematics, University of Vienna, Austria) |
講演題目: |
Highly Oscillatory PDEs |
講演要旨: |
Partial differential equations with highly oscillatory solutions occur in many areas of science like quantum mechanics and acoustics, with important spin-offs to semiconductors, nanotechnology and low-temperature physics. These equations pose a great challenge to mathematical and numerical analysis. Recently a new mathematical technique has been developed to treat highly oscillatory PDEs, namely Wigner transforms. They allow deep new insights into high-frequency asymptotics. The state-of-the-art is reported in the lecture, with emphasis on applications like quantum semiconductor devices and Bose-Einstein condensation. |
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