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Quantum hydrodynamic equation and its mathematical theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quantum hydrodynamic equation and its mathematical theory /Boling Guo.
作者:	Guo, Boling,
面頁冊數:	v, 309 pages :ill. :24cm.
標題:	HydrodynamicsMathematical models.
ISBN:	9789811260834

Quantum hydrodynamic equation and its mathematical theory /
Guo, Boling,

Quantum hydrodynamic equation and its mathematical theory /Boling Guo. - v, 309 pages :ill. :24cm.

Includes bibliographical references.

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.

"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"--

ISBN: 9789811260834

LCCN: 2022018511Subjects--Topical Terms:

203244
Hydrodynamics
--Mathematical models.

LC Class. No.: QA911 / .G785 2022

Dewey Class. No.: 530.12

Quantum hydrodynamic equation and its mathematical theory /
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505 0 $a 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.
520 $a "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"-- $c Provided by publisher.
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