流體力學建模 9787576712605 (以)伊戈爾.蓋辛斯基(Igor Gaissinski)(以
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物品所在地：中國大陸
原出版社：哈爾濱工業大學
物品所在地：中國大陸
原出版社：哈爾濱工業大學
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| *完成訂單後正常情形下約兩周可抵台。 *本賣場提供之資訊僅供參考，以到貨標的為正確資訊。 印行年月：202403*若逾兩年請先於私訊洽詢存貨情況，謝謝。 台灣(台北市)在地出版社，每筆交易均開具統一發票，祝您中獎最高1000萬元。 書名：流體力學建模 ISBN：9787576712605 出版社：哈爾濱工業大學 著編譯者：(以)伊戈爾.蓋辛斯基(Igor Gaissinski)(以 頁數：551頁 所在地：中國大陸 *此為代購商品 書號：1665629 可大量預訂，請先連絡。 內容簡介 本書是一部講述近代流體力學成果的英文專著，本書認為數學方法和模型是應用數學和理論物理學的分支。本書致力於闡釋流體力學建模的相關內容，由四章組成，其中包含大量有用的練習和解決方案。我們在每章末尾的參考書目中提供了相關主題的相對完整的參考資料。作者簡介 弗拉基米爾·羅文斯基（Vladimir Rovenski），以色列數學家，以色列理工大學數學系教授。目錄 ForewordPreface 1 Mathematical Background 1 1 Dynamical systems 1 1 1 Vector felds and dynamical systems 1 1 2 Critical points in phase space 1 1 3 Higher-order autonomous systems 1 1 4 Dirac delta function 1 1 5 Special functions 1 1 6 Green's function 1 1 7 Boundary and initial value problems 1 2 Asymptotic behavior and stability 1 2 1 Asymptotic expansions 1 2 2 Asymptotic behavior of autonomous systems 1 2 3 Stability of autonomous systems 1 2 4 More on stability 1 3 Bifurcations 1 3 1 Instability and bifurcations 1 3 2 Saddle-node bifurcation 1 3 3 Transcritical and pitchfork bifurcations 1 3 4 Hopf bifurcation 1 3 5 Saddle-node bifurcation of a periodic orbit 1 3 6 Global bifurcation 1 4 Attractors 1 4 1 Chaotic motion and symbolic dynamics 1 4 2 Homoclinic tangles and Smale's horseshoe map 1 4 3 Poincare return map 1 4 4 Lyapunov's exponents and entropy 1 4 5 Attracting sets and attractors 1 5 Fractals 1 5 1 Local structure of fractals 1 5 2 Operations with fractals 1 5 3 Fractal attractors in dynamical systems 1 6 Perturbations 1 6 1 Regular perturbation theory 1 6 2 Singular perturbation theory 1 7 Elements of tensor analysis 1 7 1 Transformations of coordinate systems 1 7 2 Covariant and contravariant derivatives 1 7 3 Christoffel symbols and curvature tensor 1 7 4 Integral formulas 1 8 Navier-Stokes equations for nonequilibrium gas mixture 1 8 1 Continuity，momentum and energy equations 1 8 2 Closing relations and transport coefficients 1 8 3 Boundary conditions 1 8 4 Deducing Navier-Stokes equation 1 8 5 Existence and uniqueness of solutions of the Navier—Stokes equation 1 8 6 Relativistic Navier—Stokes equation 1 9 Exercises bliography 2 Models for Hydrodynamic Instabilities 2 1 Stability concepts 2 1 1 Boundary conditions 2 1 2 Inviscid and high-Reynolds—number flow 2 1 3 Basic definitions 2 2 Rayleigh—Taylor instability 2 2 1 Potential flow 2 2 2 Plane boundaries 2 2 3 Spherical boundaries 2 2 4 Nonlinear perturbation theory 2 2 5 Inhomogeneous fluids 2 2 6 Ⅵscous fluids 2 3 Kelvin-Helmholtz instability 2 3 1 Instability of annular incompressible jet 2 3 2 Rotating jets 2 3 3 Supersonic viscous jet 2 3 4 Supersonic viscous jet with Gaussian sound velocity distribution 2 3 5 Relativistic jet 2 4 Exercises bliography 3 Models for Turbulence 3 1 Symmetries and conservation laws 3 1 1 Euler and Navier—Stokes equations 3 1 2 Symmetries 3 1 3 Conservation laws 3 2 Anomalous scaling exponents 3 2 1 Multifractal models 3 2 2 Random variables and correlation functions 3 2 3 Richardson-Kolmogorov concept of turbulence 3 2 4 Scaling of the structure hmctions 3 2 5 Dissipative and dynamical scaling 3 2 6 Fusion rules in turbulence systems 3 3 Calculation of scaling exponents 3 3 1 Basic formulas 3 4 Bifurcations for the Kuramoto-Sivashinsky equation 3 4 1 Symmetry：translations， reflections， and O(2)-equivariance 3 4 2 Kuramoto-Sivashinsky equation 3 5 Strange attractors and turbulence 3 5 1 The Taylor—Couette experiment 3 5 2 Dynamical systems with one observable 3 5 3 Limit capacity and dimension 3 5 4 Dimension and entropy 3 6 Global attractor for Navier-Stokes equation 3 6 1 The ladder inequality 3 6 2 Estimates 3 6 3 Length scales in the two-dimensional case 3 6 4 Three-dimensional regularity 3 6 5 The attractor dimension 3 7 Hierarchical sheU models 3 7 1 Gledzer-Ohkitani-Yamada shell model 3 7 2 (N，£)-sabra shell models 3 7 3 Navier-Stokes equations in the common wavelets repre 詳細資料或其他書籍請至台灣高等教育出版社查詢，查後請於PChome商店街私訊告知ISBN或書號，我們即儘速上架。 |
