Homogenization: in memory of Serguei Kozlov
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
1999
|
| Schriftenreihe: | Series on advances in mathematics for applied sciences
50 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 418 S. graph. Darst. |
| ISBN: | 9810230966 |
Internformat
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Datensatz im Suchindex
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| adam_text | SERIES ON ADVANCES IN MATHEMATICS FOR APPLIED SCIENCES -VOL. 50
HOMOGENIZATION IN MEMORY OF SERGUEI KOZLOV EDITORS V BERDICHEVSKY WAYNE
STATE UNIVERSITY, USA V JIKOV PEDAGOGICAL UNIVERSITY, RUSSIA G
PAPANICOLAOU STANFORD UNIVERSITY, USA 1AS$ WORLD SCIENTIFIC WL SINGAPORE
* NEW JERSEY * LONDON * HONG KONG VII CONTENTS PREFACE V SERGUEI KOZLOV
* A BRIEF BIOGRAPHICAL SKETCH XIII SOME RECOLLECTIONS 1 SERGUEI KOZLOV *
A REVIEW OF SCIENTIFIC CONTRIBUTIONS 11 A. BELIAEV AND V. JIKOV LIST OF
PUBLICATIONS OF S. KOZLOV 16 CRITICAL PATH ANALYSIS OF TRANSPORT IN
HIGHLY DISORDERED RANDOM MEDIA 21 K. M. GOLDEN AND S. M. KOZLOV
MULTISCALED HOMOGENIZATION 35 V. V. JIKOV AND S. M. KOZLOV 1
INTRODUCTION 35 2 SOME PROPERTIES OF ALMOST PERIODIC FUNCTIONS 40 3
PROOFOFTHE UPPER ESTIMATE FOR (ATWJ/IOM 44 4 PROOF OF LOWER ESTIMATE FOR
(AE JV-E0/IOM 52 5 PROOF OF THE MAIN RESULT. EXAMPLES 59 THE EFFECTIVE
THERMOCONDUCTIVITY AND SHEAR MODULUS OF A LATTICE STRUCTURE: AN
ASYMPTOTIC ANALYSIS 65 S. M. KOZLOV AND G. P. PANASENKO 1 INTRODUCTION
65 2 EFFECTIVE THERMOCONDUCTIVITY OF THE TWO-DIMENSIONAL RECTANGULAR
LATTICE STRUCTURE 70 3 THE SHEAR MODULUS OF THE TWO-DIMENSIONAL
RECTANGULAR LATTICE STRUCTURE 80 MULTIPARAMETRIC PROBLEMS OF
HOMOGENIZATION THEORY 92 N. S. BAKHVALOV AND M. E. EGLIT 1 INTRODUCTION
92 2 STRUCTURES AND COMPOSITES REINFORCED BY A PERIODIC SYSTEM OF
MUTUALLY ORTHOGONAL PLATES AND BARS 93 VIII 2.1 EFFECTIVE
THERMOCONDUCTIVITY OF COMPOSITES WITH ISOTROPIC COMPONENTS 96 2.2
EFFECTIVE ELASTIC MODULI 96 2.3 EFFECTIVE ELASTIC MODULI FOR LOCALLY
ISOTROPIC MATERIALS 99 2.4 AUXILIARY LEMMAS 100 3 COMPOSITES REINFORCED
BY FIBERS 102 4 PARAMETERS RELATED TO DIFFERENT PROPERTIES OF EACH PHASE
. . . . 104 NON-LINEAR DARCY LAW IN A RANDOM POROUS MEDIUM 107 A. YU.
BELIAEV 1 POSING THE PROBLEM 109 2 AN ESTIMATE OF G(X) FROM BELOW 113 3
AN ESTIMATE FOR G(A) FROM ABOVE FOR THE CASE OF SMALL POROSITY P 114 4
AN ESTIMATE FOR G(X) FROM ABOVE FOR ANY P 1 117 5 THE PROOF OF EXACT
UPPER ESTIMATE 123 DISTRIBUTION OF MINIMUM VALUES OF WEAKLY STOCHASTIC
FUNCTIONALS 133 V. BERDICHEVSKY 1 INTRODUCTION 133 2 AN EXAMPLE 138 3
STATISTICAL MECHANICS OF POINT VORTICES 140 4 THE KOSTERLITZ-THOULESS
PHASE TRANSITION 141 5 BRITTLE-TO-DUCTILE TRANSITION 146 6 ELASTIC BODY
UNDER ACTION OF RANDOM EXTERNAL FORCES 146 7 HOMOGENIZATION PROBLEMS 148
8 SOME FEATURES OF STATIONARY POINTS OF ENTROPY FUNCTIONAL . . . . 149 9
THE BASIC IDENTITY 152 10 ANOTHER DERIVATION OF THE BASIC IDENTITY 158
11 AN ESTIMATION OF THE PREFACTOR 160 12 A COUNTEREXAMPLE 162 13 LARGE
EXCITATIONS 164 14 APPENDICES 166 IX ASYMMETRIE STRAIN-STRESS
DISTRIBUTION FUNCTION FOR CRYSTAL WITH RANDOM POINT DEFECTS 179 L.
BERLYAND 1 IDENTICAL DEFECTS 179 2 STRAIN AND STRESS DISTRIBUTIONS FOR
DEFECTS OF TWO DIFFERENT KINDS 185 3 TAIL AND FIRST MOMENT OF THE
DISTRIBUTION 186 4 WHY IS THE DISTRIBUTION SHIFTED? 188 5 COMPARISON
WITH THE STATISTICS OF GRAVITATIONAL FIELD ARISING FROM A RANDOM
DISTRIBUTION OF STARS 19 0 OPTIMAL DESIGN FOR UNCERTAIN LOADING
CONDITION 193 A. CHERKAEV AND E. CHERKAEVA 1 INTRODUCTION 193 2 THE
PROBLEM FORMULATION 194 3 EIGENVALUE PROBLEM 198 4 MULTIPLE EIGENVALUES
202 EFFECTIVE PROPERTIES OF A PLANE TWO-PHASE ELASTIC COMPOSITES:
COUPLED BULK-SHEAR MODULI BOUNDS 214 L. V. GIBIANSKY 1 INTRODUCTION 214
2 STATEMENT OF THE PROBLEM AND THE MAIN RESULTS 215 2.1 EQUATIONS OF THE
PLANAR ELASTICITY 215 2.2 HOMOGENIZATION 218 2.3 THE KNOWN BOUNDS 219 3
THE TRANSLATION METHOD 225 3.1 FUNCTIONALS 225 3.2 TRANSLATION METHOD
228 3.3 EMBEDDING INTO THE HIGHER-ORDER PROBLEM 232 4 COUPLED
BULK-SHEAR MODULI BOUNDS 233 4.1 GENERALIZED HOOKE S LAW 233 4.2
ROTATIONALLY INVARIANT EIGHTH-ORDER TENSORS 236 4.3 QUASIAFNNE FUNETIONS
240 4.4 COUPLED BULK-SHEAR MODULI BOUNDS 242 5 DISCUSSION AND
GENERALIZATION 248 5.1 SUMMARY OF THE RESULTS 248 5.2 OPTIMALITY OF THE
BOUNDS 250 5.3 THREE-DIMENSIONAL PROBLEM 253 X HOMOGENIZATION OF THE
LAPLACE EQUATION IN A PARTIALLY PERFORATED DOMAIN 259 W. JAEGER AND A.
MIKELIC 1 STATEMENT OF THE PROBLEM AND OF THE RESULTS 260 1.1
INTRODUCTION 260 1.2 NOTATIONS, ASSUMPTIONS AND AUXILIARY RESULTS 262
1.3 STATEMENTS OF THE MAIN RESULTS 268 2 PROOFS OF THE THEOREMS 272 2.1
PROOFOF THEOREM 1.1 AND COROLLARIES 1.1-1.3 272 2.2 PROOF OF THEOREM 1.2
274 2.3 PROOF OF THEOREM 1.3 276 CONTROL IN THE COEFFICIENTS OF LINEAR
HYPERBOLIC EQUATIONS VIA SPACIO-TEMPORAL COMPONENTS 285 K. A. LURIE 1
INTRODUCTION 285 2 POSSIBLE APPLICATIONS 286 3 THE STRUCTURE OF THE
PAPER 287 4 SECOND ORDER HYPERBOLIC EQUATION WITH CHATTERING
COEFFICIENTS 288 5 APPLICATION OF THE FLOQUET THEORY 294 6 THE
ONE-DIMENSIONAL WAVE PROPAGATION: A SPECIAL USE OF MAXWELL S SYSTEM 298
7 THE MAXWELL S SYSTEM FOR A MOVING DIELECTRIC MEDIUM . . . . 299 8
ONE-DIMENSIONAL WAVE PROPAGATION: CONSERVATION OF THE DETERMINANT OF THE
MATERIAL TENSOR 305 MULTISCALE AVERAGING FOR ORDINARY DIFFERENTIAL
EQUATIONS. APPLICATIONS TO THE SPECTRAL THEORY OF ONE-DIMENSIONAL
SCHROEDINGER OPERATOR WITH SPARSE POTENTIALS 316 S. A. MOLCHANOV 1
INTRODUCTION 316 2 TECHNICAL TOOLS 324 2.1 SPECTRAL MEASURE 324 2.2
PHASE AND AMPLITUDE 325 3 SCATTERING THEORY 328 4 TESTS FOR THE
DIFFERENT TYPES OF SPECTRA 336 4.1 TESTS FOR S AC 336 4.2 TESTS FOR S SC
AND S* 339 XI 5 CUTOFF LEMMA 341 5.1 MARTINGALES AND HOMOGENIZATION
LEMMAS 345 6 SPECTRAL THEORY OF THE ONE-DIMENSIONAL SCHROEDINGER
OPERATORS WITH SPARSE POTENTIALS. NEGATIVE ENERGIES A 0 . . . 361 6.1
SPECTRAL THEORY OF THE ONE-DIMENSIONAL SCHROEDINGER OPERATORS WITH SPARSE
POTENTIALS. POSITIVE ENERGIES A = K 2 0 372 7 PERTURBATION THEORY AND
DECAYING SPARSE POTENTIALS 389 REMARKS ON AN ESTIMATE OF SERGUEI KOZLOV
398 U. MOSCO 1 INTRODUCTION 398 2 KOZLOV S ESTIMATE 399 3 THE STRAENGE
EXPONENT 400 4 THE CHANGE OF METRIC 401 5 THE PHYSICS OF V 401 6 THE
INVARIANCE OF D(X, Y) 403 7 THE HOMOGENEOUS DIMENSION 403 8 SCALED
POINCARE INEQUALITIES 404 CENTRAL LIMIT THEOREM AND SPECTRAL ASYMPTOTICS
FOR NONLINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATION WITH WEAK
NONLINEARITY 407 A. L. PIATNITSKI 1 INTRODUCTION 407 2 SETTING OF THE
PROBLEM 408 3 SPECTRAL ASYMPTOTICS FOR ^L 0 410 4 COMPACTNESS RESULTS
415 5 CENTRAL LIMIT THEOREM 416
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| spelling | Homogenization in memory of Serguei Kozlov ed. V. Berdichevsky ... Singapore [u.a.] World Scientific 1999 XIII, 418 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series on advances in mathematics for applied sciences 50 Homogenization (Differential equations) Homogenisierung Mathematik (DE-588)4403079-4 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf (DE-588)4016928-5 Festschrift gnd-content Differentialgleichung (DE-588)4012249-9 s Homogenisierung Mathematik (DE-588)4403079-4 s DE-604 Berdičevskij, Viktor L. Sonstige oth Kozlov, Sergej M. hnr Series on advances in mathematics for applied sciences 50 (DE-604)BV004569239 50 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008662630&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Homogenization in memory of Serguei Kozlov Series on advances in mathematics for applied sciences Homogenization (Differential equations) Homogenisierung Mathematik (DE-588)4403079-4 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4403079-4 (DE-588)4012249-9 (DE-588)4016928-5 |
| title | Homogenization in memory of Serguei Kozlov |
| title_auth | Homogenization in memory of Serguei Kozlov |
| title_exact_search | Homogenization in memory of Serguei Kozlov |
| title_full | Homogenization in memory of Serguei Kozlov ed. V. Berdichevsky ... |
| title_fullStr | Homogenization in memory of Serguei Kozlov ed. V. Berdichevsky ... |
| title_full_unstemmed | Homogenization in memory of Serguei Kozlov ed. V. Berdichevsky ... |
| title_short | Homogenization |
| title_sort | homogenization in memory of serguei kozlov |
| title_sub | in memory of Serguei Kozlov |
| topic | Homogenization (Differential equations) Homogenisierung Mathematik (DE-588)4403079-4 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Homogenization (Differential equations) Homogenisierung Mathematik Differentialgleichung Festschrift |
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