你的位置:水利图书 >> >> 数学力学 >> 详细内容 在线投稿

力学和物理学中的无限维动力系统第2版(英文版)

热度98票 浏览23次 【共0条评论】【我要评论 时间:2010年6月10日 10:32

6x6f ?!G5]0zIK0力学和物理学中的无限维动力系统第2版(英文版)水利图书LoUi&}1W_

水利图书jq^ s P/K%l_ a

水利图书r-k0`m? f.t8G

+u#}*zMbk0作  者: R.Temam 著水利图书SWX1]@'?8Y ]

水利图书W4XQ|0^*e

出 版 社: 世界图书出版公司

}OJ8pFSf-y0

Na'T2@S(Lm0出版时间: 2000-6-1

(x7qy;e#y q+H0 水利图书+}_L6H7d$Xq6V~+z

字  数:

2g9N~N,p u0 水利图书!]$m}@W0gNS,D%n

版  次: 1

kTYh T"o&`O'b0 水利图书lQ9kg+r8PknJ*LY1k

页  数: 648水利图书1Tq6F"x3Wc [n

B aN[f)S/Y0印刷时间:水利图书 ?5S Bsf5G

|V'VIn_Z;q G'a,dp0开  本:水利图书 Y'AF s P1} OSj

水利图书8mGK]oOp

印  次:

E}F)B's"wu0 水利图书6B `)u)Z'G)[

纸  张: 胶版纸

g&Tc;N0pCS oO0 水利图书%f#Mv$WxyC

I S B N : 9787506247160

u;xN(k1}5M0 水利图书0p ^n S?

包  装: 平装

PnOi)R1j:J~OX(}s0 水利图书,A0qy;R.lD

所属分类: 图书 >> 自然科学 >> 力学水利图书S(kh HOd Kgp/z

/e0e7Dd$j'r/d)X2S0内容简介水利图书%FV)E8TKnn

水利图书"{p e,C\*z9c+j7D

Since publication of the first edition of this book in 1988, the study of dynamical systems of infinite dimension has been a very active area in pure and applied mathematics; new results include the study of the existence of attractors for a large number of systems in mathematical physics and mechanics; lower and upper estimates on the dimension of the attractors; approximation of attractors; inertial manifolds and their approximation. The study of multilevel numerical methods stemming from dynamical systems theory has also developed as a subject on its own. Finally, intermediate concepts between attractors and inertial manifolds have also been introduced, in particular the concept of inertial sets.

E#V/Ow_p0

W8[dw9Yb.|^0目录水利图书E1JQb-M$b?}

zX#Q6L4]*G Yk*{5L~4R T0Preface to the Second Edition水利图书3uYS\ x2Z&UC4J

水利图书:bl?!Dnzi(y

Preface to the First Edition水利图书 tqX_ wr9x#Y

水利图书&q$Z)Htx4vXm

GENERAL INTRODUCTION.水利图书U-K z9`$F,\gb5E

S7LNh.G%{+d0The User‘s Guide水利图书Cd2o'H6p~;Br

水利图书-x tR4|2H

Introduction水利图书m2G"kfI a6nj'\x]

水利图书7^/Xv g.p:u

1. Mechanism and Description of Chaos. The Finite-Dimensional Case水利图书!@}f7A2^?\X

水利图书 _bZ%PKU%WKS-T

2. Mechanism and Description of Chaos. The Infinite-Dimensional Case

oe'iNQM0 水利图书} ]hq$M+f.Yc+awp

3. The Global Attractor. Reduction to Finite Dimension

'U@+w\6l&m ~0 水利图书BV*y2c JetQD)? e

4. Remarks on the Computational Aspect

$sye2{)l0 水利图书f~5ZP7ZK

5. The User‘s Guide

7oVvdv!t0

Vq"u0g j]f/DFY}P0CHAPTER ⅠGeneral Results and Concepts on Invariant Sets and Attractors

c#tak"c}0 水利图书;z!e:ML8K?'k9C

Introduction水利图书,_ Q-C0C]m7O ZX

3M/} EpZr(r(Vd }Tw01. Semigroups, Invariant Sets, and Attractors

0Wj la#aHur-mL#Z0

+M*P b%kIwG*m02. Examples in Ordinary Differential Equations

2F:M#li;NY0

5Rv!` ^2x2^:TU03. Fractal Interpolation and Attractors水利图书2Jc8K5G[5A1r0^L

7XSncCF^l+O#J x0CHAPTERⅡ Elements of Functional Analysis

#wi|5uhQ:|0

ncutG.]qv _q0Introduction水利图书9m*c*K3]K6W"G9k p)}

水利图书yZ;}h$Ct0~ W,k

1. Function Spaces水利图书Cm.yGTbq"wS

水利图书-CmjtW(V

2. Linear Operators水利图书2v6| zNp8? bO-x

{@j(P$v7s.T*R!y03. Linear Evolution Equations of the First Order in Time

3Nl y-n!_'J W)q0

_.SM3M&r04. Linear Evolution Equations of the Second Order in Time

YcE&D,\x0

nOu Y*]Zv-l0CHAPTER Ⅲ Attractors of the Dissipative Evolution Equation of the First Order in Time: Reaction-Diffusion Equations. Fluid Mechanics and Pattern Formation Equations Introduction

#~`-}:SI U'a0

EZ2M&qc01. Reaction-Diffusion Equations水利图书Y teqA/?]

6k1~`d`[nC02. Navier-Stokes Equations(n=2)

s Ag4AA4P:n7wt D0 水利图书wdHI9[G,C'Xa

3. Other Equations in Fluid Mechanics水利图书 N1sUT6Vr-msI

水利图书#c^#V)nOB@~S#t

4. Some Pattern Formation Equations

Nl"F y~kNm#?0 水利图书8| Q*bY3t!d

5. Semilinear Equations

F8t+CZVA0

a-DB^1T hh{06. Backward Uniqueness水利图书2S0d[#V(bC`,I#E

水利图书lY'ZC1v

CHAPTER Ⅳ Attractors of Dissipative Wave Equations

2c]8? Jf p7j3`a0

^-Au~4N'l+W0Introduction

S XL0H5Va0

@ A K6x dYK6^ R01. Linear Equations: Summary and Additional Results

?1}Z\B Q0 水利图书;sLH| QM

2. The Sine-Gordon Equation水利图书6yPi q&P$M

C#|#q|iOX@st j03. A Nonlinear Wave Equation of Relativistic Quantum Mechanics

+I\Y jyeU\0

M!Y IWW,nU+u04. An Abstract Wave Equation水利图书%Z8W i?dJMBb

水利图书5Ph3`'yd

5. The Ginzburg-Landau Equation水利图书/?yu'? L ]W

水利图书k!e-JXP-h

6. Weakly Dissipative Equations. I. The Nonlinear Schr6dinger Equation

GB2[5}U]u0

t[ S`K0G:^-C07. Weakly Dissipative Equations II. The Korteweg-De Vries Equation水利图书 \[3m+d,D*T3z

/my p6trX Bp08. Unbounded Case: The Lack of Compactness

+l9E0[${i)vN0 水利图书8Zsn'F~q/v/|o

9. Regularity of Attractors水利图书jr5B3H7s1[w%D4j2r*F

0JqQE{5@;] WE010. Stability of Attractors水利图书R*hQd`J%@y

R.i[1C%K.]0CHAPTER Ⅴ Lyapunov Exponents and Dimension of Attractors

U#g_CJt7j0 水利图书zr ~/B6`j1??y

Introduction水利图书:m"uc^SW_

水利图书2O [7K^b9HJ'm

1. Linear and Multilinear Algebra水利图书 ck8NX1c{Ec zot

水利图书+t;Lgj&k^

2. Lyapunov Exponents and Lyapunov Numbers水利图书5}l2H Vv4T&x%Oc

水利图书n3g q,T0P:g q%d

3. Hausdorff and Fractal Dimensions of Attractors

)d'}m4b,t2h \"g0 水利图书1]L2Ym Z

CHAPTER Ⅵ Explicit Bounds on the Number of Degrees of Freedom and the Dimension of Attractors of Some Physical Systems水利图书 u ` e%S$iH-^2^

水利图书3i s/^b:Qd0u

Introduction

6];TKh!RD(U/r2H*g0 水利图书| P9z'Z"`hCo

1. The Lorenz Attractor

~A:vG+g'IM}Z.bT,w0

mS(AP [ZW7cxv02. Reaction-Diffusion Equations水利图书x5M_(jA N rq

GH3A Fg+UvxBA03. Navier-Stokes Equations(n=2)

go D(z:]Tyz0

j#jw8o(F.G+^04. Other Equations in Fluid Mechanic

9Q%Fs(GU1^0

wkS F2_"cIn05. Pattern Formation Equations

Y V6v3g:?7U7J0 水利图书rf0N3H.[S*F

6. Dissipative Wave Equations水利图书9E)h#}T`4c

水利图书'LT:J c,m1HQ D

7. The Ginzburg-Landau Equation

vE@d-`$k0 水利图书 V9^,ED:R'oQ

8. Differentiability of the Semigroup水利图书G&jn0D$t!jq

水利图书 Z:H\b2o3j;i1O

CHAPTER Ⅶ Non-Well-Posed Problems, Unstable Manifolds, Lyapunov Functions, and Lower Bounds on Dimensions水利图书uMgu[ }j

水利图书a bX4F8sD"];d1a

Introduction水利图书/ns`3Z/K#P

水利图书)Z&wNf-^6hB"jc0u3m

PART A: NoN-WELL-POSED PROBLEMS

]2hu uIH'uU0 水利图书/k(hUq*j

1. Dissipativity and Well Posedness

K4Y Y0RLN5U0

^KrU)m"J02. Estimate of Dimension for Non-Well-Posed Problems: Examples in Fluid Dynamics

;d&h U,QPR0

-W6_u\/Uw ?3q0PART B: UNSTABLE MANIFOLDS, LYAPUNOV FUNCTIONS, AND LOWER BOUNDS ON DIMENSIONS

a,JaX9_([8`3]L0 水利图书4_ i:w"i}w |

3. Stable and Unstable Manifolds

&zY'{R*m0 水利图书0p t7bVR2c.YF

4. The Attractor of a Semigroup with a Lyapunov Function

%E?e9G8WO4j$S0

@-O{7G)b\I'QY s05. Lower Bounds on Dimensions of Attractors: An Example水利图书J r])XC.?9Bo9yi

水利图书{6EA8eUD\I

CHAPTER Ⅷ The Cone and Squeezing Properties. Inertial Manifolds

$]$^1t}e7c*I n0 水利图书H[9@C3tUl

Introduction

4MUb~hp0 水利图书6s*Ni8z%m7`1hA

1. The Cone Property水利图书 }a7I4Y7bUF

水利图书A8C _,_1?B9a1H T

2. Construction of an Inertial Manifold: DeScription of the Method水利图书h*a|Ji2dz^U

水利图书q_E2Fg7{

3. Existence of an Inertial Manifold

G{N%eqE _8j.{3Q!K0 水利图书HG%L }a3k*w

4. Examples水利图书9S`_#hj WE*J

水利图书'^Ml Z8h;p}

5. Approximation and Stability of the Inertial Manifold with Respect to Perturbations

} D+y D!A(o2h"Gs0 水利图书6c;zC8O"h'D+H#V

CHAPTER Ⅸ Inertial Manifolds and Slow Manifolds. The Non-Self-Adjoint Case

!n&_?6mc$r0

ht+x{D.a:v0Introduction

c.O.Z*v {$v[0

;NCKiv[8|01. The Functional Setting水利图书/c&W| s'`\0e8^,M

5A*x_ Q4Pr02. The Main Result Lipschitz Case水利图书;c0j"i#{'Zw$u'yCU$ci

水利图书8?0l(V;L-^9w'bY

3. Complements and Applications

V;r cV\8g0

d)Fl}2x04. Inertial Manifolds and Slow Manifolds

.qo8K1k H;l7utm2a5t0

z;hP1N1|'Av0CHAPTER Ⅹ Approximation of Attractors and Inertial Manifolds. Convergent Families of Approximate Inertial Manifolds水利图书z v4^^`;Qa$z!\[

8T1N^ p{_7?0Introduction

'Y1k!j@\y0

*?/SiWzOd"A01. Construction of the Manifolds

Y*O p,O^2dz0 水利图书,H y5Y LMb%onB f~x

2. Approximation of Attractors

`z(S3o.pwe0 水利图书$P1x7D"p |9@%g*vj

3. Convergent Families of Approximate Inertial Manifolds水利图书DD/oY7w

水利图书Uq!YF3a

APPENDIX Collective Sobolev Inequalities水利图书?t1KqJe3H r|

C}s U1v#_w4OSe0Introduction水利图书7CI+Q:?)\Ff

水利图书(H0A JD0W5I

1. Notations and Hypotheses水利图书sJ0D$xD-M0hp W#C

水利图书^ j_"BU Sj1x%K

2. Spectral Estimates for Schrodinger-Type Operators

;y6B'[2w4wg*|s0 水利图书8Mn'A*tG:r

3. Generalization of the Sobolev-Lieb-Thirring Inequality Ⅰ

3]#CT^yy,we,m0 水利图书-P_,n+~]R+B

4. Generalization of the Sobolev-Lieb-Thirring Inequality Ⅱ水利图书^sGo l hzo

水利图书_5I s.Y!\B

5. Examples水利图书 KX$?^_s}-B

水利图书.Cvl Ep!Zy3hn'Z

Bibliography

OaJ+c9F$PE`0 水利图书-jI~:H+a6GQv

Index

;{r|)_l9l'K ys;O0
顶:6 踩:10
对本文中的事件或人物打分:
当前平均分:-0.47 (30次打分)
对本篇资讯内容的质量打分:
当前平均分:-1.05 (21次打分)
【已经有31人表态】
5票
感动
2票
路过
1票
高兴
6票
难过
4票
搞笑
4票
愤怒
4票
无聊
5票
同情
下一篇:大学工程力学手册
上一篇:流体力学题解(第2卷.第3版)(英文版)

水资讯网广告招租

查看全部回复【已有0位网友发表了看法】

广告投放

广告投放