Quantum hydrodynamics comes from superfluid, superconductivity,
semiconductor and so on. Quantum hydrodynamic model describes
Helium II superfluid, Bose-Einstein condensation in inert gas,
dissipative perturbation of Hamilton-Jacobi system, amplitude and
dissipative perturbation of Eikonal quantum wave and so on. Owing
to the broad application of quantum hydrodynamic equations, the
study of the quantum hydrodynamic equations has aroused the concern
of more and more scholars. Based on the above facts, we collected
and collated the data of quantum hydrodynamic equations, and
studied the concerning mathematical problems.The main contents of
this book are: the derivation and mathematical models of quantum
hydrodynamic equations, global existence of weak solutions to the
compressible quantum hydrodynamic equations, existence of finite
energy weak solutions of inviscid quantum hydrodynamic equations,
non-isentropic quantum Navier-Stokes equations with cold pressure,
boundary problem of compressible quantum Euler-Poisson equations,
asymptotic limit to the bipolar quantum hydrodynamic equations.
General
Imprint: |
World Scientific Publishing Co Pte Ltd
|
Country of origin: |
Singapore |
Release date: |
July 2023 |
First published: |
2023 |
Authors: |
Boling Guo
|
Format: |
Hardcover
|
Pages: |
320 |
ISBN-13: |
978-981-12-6083-4 |
Categories: |
Books
|
LSN: |
981-12-6083-4 |
Barcode: |
9789811260834 |
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