Quantum Hydrodynamic Equation And Its Mathematical Theory - Couverture rigide

Guo, Boling

Couverture rigide

ISBN 10 : 9811260834 ISBN 13 : 9789811260834

Editeur : WSPC, 2023

Synopsis

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.

A propos du livre

À propos de l'auteur

Boling Guo is a professor and academician of the Chinese Academy of Sciences. He has given a systematic and profound mathematical theory for the global existence, uniqueness, regularity, asymptotic behavior, and blow-up phenomena for solutions to nonlinear evolution equations with large initial data. For a number of important infinite-dimensional dynamical systems, he deduced the existence of global attractors, inertial manifolds and approximate inertial manifolds, and proposed a new method to prove strong compact attractors. By using discretization and other methods, he showed the structure and image of the attractors.

Book publications: Rogue Wave and its Mathematical Theory, The Zakharov System and its Soliton Solutions, Non-Newtonian Fluids: A Dynamical Systems Approach, Fractional Partial Differential Equations and Their Numerical Solutions, Vanishing Viscosity Method.

Détails de l'édition

• Éditeur: WSPC
• Date d'édition: 2023
• Langue: anglais
• ISBN 10: 9811260834
• ISBN 13: 9789811260834
• Reliure: Relié
• Nombre de pages: 320
• Coordonnées du fabricant: non disponible
• Personne responsable: gpsr@libri.de; gpsr@libri.de; ; Friedensallee 273; Hamburg; 22763; Allemagne