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- ISBN:9787030595584
- 装帧:一般胶版纸
- 册数:暂无
- 重量:暂无
- 开本:B5
- 页数:348
- 出版时间:2018-12-01
- 条形码:9787030595584 ; 978-7-03-059558-4
内容简介
本书中文版是2006年由国防工业出版社出版的《中国工程物理研究院科技丛书》第048号。是作者多年研究工作的总结。牛顿流体力学反映了应力与速度变化的线性关系,非牛顿流体力学反映了在给定温度和压强下应力与速度不再满足线性关系的流体运动。本书系统地介绍了非牛顿流体发展方程中的重要问题,主要阐述在非牛顿流体发展方程的数学理论和很新的研究成果。内容包括:非牛顿流体的测度值解、弱解、强解、周期解、解的正则性、稳态解、解的稳定性分析、整体吸引子、近似惯性流形、惯性流形,并给出了非牛顿一般流体的数值结论,介绍了具有分数阶导数的粘弹性流体的相关结论。本书是作者研究成果的总结。英译本在中文书的基础上,每章增加了一些新的研究成果。
目录
O, the upper bounded estimates of dH(Aμ1) and dF(Aμ1) of attractor Aμ1
3.2 Global attractors of incompressible non-Newtonian fluids on unbounded domain
3.3 Exponential attractors of incompressible non-Newtonian fluids
3.3.1 Estimates for the nonlinear terms
3.3.2 Compressibility on L2(Ω) Global attractors of modified Boussinesq approximation
5 Inertial manifolds of incompressible non-Newtonian fluids
5.1 Inertial manifolds of incompressible bipolar non-Newtonian fluids
5.1.1 Lipschitz property
5.1.2 The squeezing property
5.1.3 Fixed-point theorem
5.1.4 Inertial manifolds
5.2 Approximated inertial manifolds of incompressible bipolar non-Newtonian fluids
5.2.1 The analyticity in time and behavior of higher order modes
5.2.2 Approximated inertial manifolds
6 The regularity of solutions and related problems
6.1 Stationary solutions of the incompressible bipolar non-Newtonian fluids
6.2 Decay estimates of one kind of incompressible monopolar non-Newtonian fluid
6.3 Partial regularity of one kind of incompressible monopolar non-Newtonian fluid
6.4 The convergence of solution and attractors between one kind of incompressible non-Newtonian fluid and the Newtonian fluids
6.5 Other decay estimates of incompressible non-Newtonian fluids
7 Global attractors and time-spatial chaos
7.1 Global attractor of low regularity
7.2 Attractors and their spatial complexity of reaction-diffusion equations on bounded domain
8 Non-Newtonian generalized fluid and their applications
8.1 An inverse problem of a heated generalized second grade fluid
8.1.1 Formulation
8.1.2 Outline of the optimization method
8.1.3 Illustrative examples
8.2 A numerical study of a generalized Maxwell fluid through a porous medium
8.2.1 Mathematical model
8.2.2 HPM solutions
8.2.3 Numerical results and discussion
8.2.4 Conclusions
8.3 Viscoelastic fluid with fractional derivative models
8.3.1 Preliminaries
8.3.2 Eigenfunction expansion of the solution and properties of the time-dependent components
8.3.3 Finite difference approximation
8.3.4 Duhamel-type representation of the solution
8.3.5 Numerical experiments
8.3.6 Two-dimensional problem
8.3.7 Conclusion
Bib|iography
Index
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